tutorial-part-1-dan.ipynb

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    "# Developing and Executing Error-Mitigated NISQ Algorithms Across Devices and Simulators\n",
    "\n",
    "**Dan Mills**, Melf Johannsen, Silas Dilkes - Cambridge Quantum\n",
    "\n",
    "<daniel.mills@cambridgequantum.com>"
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    "## Tutorial Contents\n",
    "\n",
    "Three parts, which will:\n",
    "1. Explore the tools available in Tket, providing a comprehensive, feature-focused tour of the platform.\n",
    "2. Introduce advanced usage of Tket, such as the development of bespoke compiler passes.\n",
    "3. Exemplify the use of Qermit, a package for the use, composition and design of error-mitigation protocols."
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    "## Part One\n",
    "\n",
    "We will cover:\n",
    "1. Installing and getting started with Tket and it's extensions.\n",
    "2. Quantum gates, measurement and the construction of quantum circuits.\n",
    "3. Steps required to prepare circuits to be run on a quantum computer.\n",
    "4. Running circuits on quantum computers and classical simulators.\n",
    "5. Tools that enable moving code between devices and software packages."
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    "# The State of Quantum Computers and Software Development Kits\n",
    "\n",
    "Noise:\n",
    "- Noisy Intermediate-Scale Quantum &rarr; low numbers of qubits and high error rates.\n",
    "- Error correction, break encryption, Grover's search &rarr; ❌\n",
    "\n",
    "Operations:\n",
    "- The devices will often only support a small fragment of quantum circuits.\n",
    "- Only possible to perform multi-qubit operations between specific pairs of qubits.\n",
    "\n",
    "Software:\n",
    "- Utilisation of desirable devices may be locked behind specific interface software."
   ]
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    "## What is tket?\n",
    "\n",
    "Tket is a software platform for the development and execution of gate-level quantum computation. \n",
    "\n",
    "<p><em><center>It automatically handles many of the intricacies of NISQ technology.</center></em></p>\n",
    "\n",
    "In Particular Tket:\n",
    "- Noise and operations &rarr; Provides state-of-the-art performance in circuit compilation. \n",
    "- Software &rarr; Facilitates platform-agnostic software development, allowing code reuse.\n",
    "\n",
    "<p><em><center> Frees the user to focus on the technique or project they are working on!</center></em></p>"
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    "## Getting Started\n",
    "\n",
    "<p>There is currently an implementation of tket available in the form of the pytket python package.</p>\n",
    "<p><center> <code> pip install pytket </code> </center></p>\n",
    "<p>Additional extension modules are available for interfacing pytket with several quantum software packages, including: Qiskit, Cirq, pyQuil, and others.</p>\n",
    "<p><center> <code> pip install pytket-qiskit </code> </center></p>\n",
    "<p>Documentation and examples are available at <a href=\"https://cqcl.github.io/tket/pytket/api/\">https://cqcl.github.io/tket/pytket/api/</a>.</p>"
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   "source": [
    "# How Are Quantum Circuits Constructed?\n",
    "\n",
    "- Basic and advanced gates\n",
    "- Measurement"
   ]
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    "## Basic Gates\n",
    "\n",
    "Let's start by building a familiar circuit to generate the bell pair:\n",
    "\\\\[ \\left| \\psi \\right\\rangle = \\frac{1}{\\sqrt{2}} \\left( \\left| 00 \\right\\rangle + \\left| 11 \\right\\rangle\\right) \\\\]\n",
    "The simplest way to build a circuit in pytket is by adding gates sequentially."
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    "In bra-ket notation:\n",
    "\\\\[ \\mathsf{CX} ( \\mathsf{H} \\otimes \\mathsf{I} ) \\left| 00 \\right\\rangle = \\mathsf{CX} \\frac{1}{\\sqrt{2}}\\left( \\left| 0 \\right\\rangle + \\left| 1 \\right\\rangle \\right) \\left| 0 \\right\\rangle = \\frac{1}{\\sqrt{2}} \\left( \\left| 00 \\right\\rangle + \\left| 11 \\right\\rangle\\right)\\\\]\n",
    "where:\n",
    "\\\\[ \\mathsf{CX} = \n",
    "\\begin{bmatrix}\n",
    "    1 & 0 & 0 & 0\\\\\n",
    "    0 & 1 & 0 & 0\\\\\n",
    "    0 & 0 & 0 & 1\\\\\n",
    "    0 & 0 & 1 & 0\n",
    "\\end{bmatrix}\n",
    "\\quad\n",
    "\\text{and}\n",
    "\\quad\n",
    "\\mathsf{H} = \\frac{1}{\\sqrt{2}}\n",
    "\\begin{bmatrix}\n",
    "    1 & 1 \\\\\n",
    "    1 & -1\n",
    "\\end{bmatrix}\n",
    "\\\\]"
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   "source": [
    "The <code>Circuit</code> class is the unit of computation sent to a quantum processor."
   ]
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       "}\n",
       ".gate_out:after{\n",
       "    right: -12px;\n",
       "}\n",
       ".gate_top.gate_in:before, .gate_top.gate_out:after{\n",
       "    top:calc(50% - 6.5px)\n",
       "}\n",
       ".gate_bottom.gate_in:before, .gate_bottom.gate_out:after{\n",
       "    top:calc(50% + 4.5px)\n",
       "}\n",
       "\n",
       "\n",
       ".link-bottom, .link-top {\n",
       "    height: var(--box-height);\n",
       "    width: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    left: calc(50% - 1px);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".link-top{\n",
       "    top: calc(0px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom{\n",
       "    top: calc(var(--box-height)/2)\n",
       "}\n",
       ".half-link {\n",
       "    height: calc(var(--box-height) - 9px);\n",
       "}\n",
       ".half-link.link-bottom{\n",
       "    top: calc(var(--box-height)/2 + 11px)\n",
       "}\n",
       ".half-link.link-top{\n",
       "    top: calc(-2px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom.measurement{\n",
       "    width: 3px;\n",
       "    left: calc(50% - 0.5px);\n",
       "    border: none;\n",
       "    background: var(--c-wire-col);\n",
       "    height: calc(var(--box-height) + 2px);\n",
       "    z-index: 1;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "/* tool tips */\n",
       ".tool-tip-container{\n",
       "    margin: calc(0px - var(--box-height)) auto 0;\n",
       "    padding-top: var(--box-height);\n",
       "    position: relative;\n",
       "    bottom: 0;\n",
       "    left: 0;\n",
       "    right: 0;\n",
       "    height: 0;\n",
       "    z-index: 4;\n",
       "    width: fit-content;\n",
       "    overflow: hidden;\n",
       "}\n",
       ".tool-tip-container.no-js{\n",
       "    overflow: visible;\n",
       "}\n",
       ".tool-tip-container.no-js:hover{\n",
       "    z-index: 10;\n",
       "}\n",
       ".nested > .tool-tip-container{\n",
       "    position: absolute;\n",
       "    bottom: -10px;\n",
       "}\n",
       ".tool-tip{\n",
       "    visibility: hidden;\n",
       "    opacity: 0;\n",
       "    -webkit-transition: visibility 0.2s, opacity 0.2s;\n",
       "    -moz-transition: visibility 0.2s, opacity 0.2s;\n",
       "    transition: visibility 0.2s, opacity 0.2s;\n",
       "    max-width: 250px;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip{\n",
       "    visibility: visible;\n",
       "    opacity: 1;\n",
       "}\n",
       ".tool-tip-content{\n",
       "    background: var(--main-bg);\n",
       "    margin: 0 auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    max-width: 100%;\n",
       "}\n",
       ".no-js > .tool-tip > .tool-tip-content{\n",
       "    height: auto;\n",
       "    padding: 20px;\n",
       "    margin: 0 auto;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip > .tool-tip-content,\n",
       ".no-js > tool-tip > .tool-tip-content:hover{\n",
       "    box-shadow: 0 -5px 20px 5px var(--faint-col-overlay);\n",
       "}\n",
       ".tool-tip:after{\n",
       "    content: \" \";\n",
       "    position: absolute;\n",
       "    bottom: 0;\n",
       "    left: 50%;\n",
       "    margin-left: -5px;\n",
       "    border-width: 5px;\n",
       "    border-style: solid;\n",
       "    border-color: transparent transparent var(--main-bg) transparent;\n",
       "}\n",
       ".tool-tip .complex-number{\n",
       "    padding: 4px;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested{\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "}\n",
       ".nested-label-layer.as-height{\n",
       "    padding: 0;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested > .nested-circuit-container,\n",
       ".circuit-preview.condensed > .nested-circuit-container{\n",
       "    background: transparent;\n",
       "    border: none;\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "    max-width: unset;\n",
       "}\n",
       "\n",
       "/* Tool-tip modal */\n",
       ".circuit-grid{\n",
       "    display: flex;\n",
       "    flex-direction: row-reverse;\n",
       "    align-items: stretch;\n",
       "    align-content: stretch;\n",
       "}\n",
       ".circuit-grid-circuit{\n",
       "    flex: 1 1 auto;\n",
       "    margin-top: 30px;\n",
       "    overflow: auto;\n",
       "    max-height: inherit;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "/*  FOR DISPLAYING CHARTS  */\n",
       "table{\n",
       "    border-collapse: collapse;\n",
       "}\n",
       ".table-container{\n",
       "    margin: auto;\n",
       "}\n",
       ".bar-chart-container{\n",
       "    min-width: 300px;\n",
       "    width: 60%;\n",
       "}\n",
       ".square-chart-container{\n",
       "    width: auto;\n",
       "    min-width: 0;\n",
       "    overflow: hidden;\n",
       "}\n",
       "\n",
       "/* Make sure we can see the rightmost border */\n",
       ".square-chart-container tbody{\n",
       "    position: relative;\n",
       "    left: -1px;\n",
       "    display: block;\n",
       "}\n",
       "thead > tr{\n",
       "    background: transparent !important;\n",
       "}\n",
       "tr:hover, tr {\n",
       "    background: initial !important;\n",
       "}\n",
       "\n",
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       "    padding: 10px;\n",
       "    position: relative;\n",
       "}\n",
       "\n",
       "/* COMPLEX NUMBERS AND MATRICES */\n",
       ".complex-number{\n",
       "    padding: 10px;\n",
       "}\n",
       ".mid-number{\n",
       "    padding: 5px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
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       "    padding: 2px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".matrix_container{\n",
       "    border: 2px solid var(--mid-col);\n",
       "    border-top: 0;\n",
       "    border-bottom: 0;\n",
       "    margin: auto !important;\n",
       "    border-collapse: collapse;\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "\n",
       "/* LIST RESULTS NICELY */\n",
       ".list{\n",
       "    flex-wrap: wrap;\n",
       "    justify-content: space-evenly;\n",
       "    align-items: stretch;\n",
       "    padding: 0;\n",
       "}\n",
       ".list > *{\n",
       "    margin: 10px;\n",
       "}\n",
       ".list > .row-sub-heading{\n",
       "    margin: 10px 0;\n",
       "}\n",
       "</style>\n",
       "\n",
       "</head>\n",
       "<body>\n",
       "    <div class=\"row circuit-grid circuit__preview-body\">\n",
       "        <div class=\"circuit-grid-circuit thin-scrollbar\"  style=\"\">\n",
       "            \n",
       "\n",
       "\n",
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       "\n",
       "\n",
       "\n",
       "\n",
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       "    \n",
       "\n",
       "    <div class=\"circuit-preview circuit_variables condensed\">\n",
       "        \n",
       "            \n",
       "            <div class=\"nested-label-layer as-height\">\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "            </div>\n",
       "            <div class=\"nested-circuit-container\"><div class=\"circuit-inner-scroll\">\n",
       "        \n",
       "        <div class=\"circuit-container nested\">\n",
       "            <div class=\"circuit-layer qubits\">\n",
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       "            <div class=\"qubit\">q[0]</div>\n",
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       "            <div class=\"qubit\">q[1]</div>\n",
       "        \n",
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       "                \n",
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       "                        \n",
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       "            <div class=\"gate_container\">\n",
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       "                \n",
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       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
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       "        \n",
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       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">H</span>\n",
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       "        <div class=\"flex_wire\">\n",
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       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
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       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
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       "    \n",
       "\n",
       "                    \n",
       "                \n",
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       "            \n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
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       "\n",
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       "\n",
       "\n",
       "        </div>\n",
       "    </div>\n",
       "</body>\n",
       "</html>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pytket import Circuit\n",
    "from pytket.circuit.display import render_circuit_jupyter\n",
    "\n",
    "circ = Circuit(2)\n",
    "circ.H(0).CX(0,1)\n",
    "\n",
    "render_circuit_jupyter(circ)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "lesbian-mount",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "Gates are added in order of execution. The circuit is typically assumed to act on the state \\\\(\\left| 0^n \\right\\rangle\\\\), producing a new state at the end."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "decimal-buffalo",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "State verctor -> [0.707+0.j 0.   +0.j 0.   +0.j 0.707+0.j]\n"
     ]
    }
   ],
   "source": [
    "from pytket.extensions.qiskit import AerStateBackend\n",
    "import numpy as np\n",
    "\n",
    "backend = AerStateBackend()\n",
    "result = backend.run_circuit(circ)\n",
    "result_state = result.get_state()\n",
    "\n",
    "print(f\"State verctor -> {np.round(result_state, 3)}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "under-hygiene",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "\\\\[ \\left| \\psi \\right\\rangle = \\frac{1}{\\sqrt{2}} \\left( \\left| 00 \\right\\rangle + \\left| 11 \\right\\rangle\\right) \\\\]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "grand-banner",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Tket also includes a plethora of other gates, including:\n",
    "- Paramterised gates &rarr; angle given first, and in units of \\\\( \\pi \\\\).\n",
    "- Control gates &rarr; control qubits given first, then target.\n",
    "\n",
    "Less common gates available through <code>OpType</code> enum."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "large-terminology",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
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       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "<!DOCTYPE html>\n",
       "<html lang=\"en\">\n",
       "<head>\n",
       "    <meta charset=\"UTF-8\">\n",
       "    \n",
       "<style>\n",
       "body, .circuit__preview-body {\n",
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       "    --accent-col-outline: rgba(30, 250, 30,0.2);\n",
       "    --main-col: black;\n",
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       "    --faint-col: #eee;\n",
       "    --faint-col-overlay: rgba(0, 0, 0, 0.05);\n",
       "    --main-bg: white;\n",
       "}\n",
       "\n",
       ".row{\n",
       "    display: flex;\n",
       "    flex-wrap: wrap;\n",
       "    align-items: center;\n",
       "    padding: 10px;\n",
       "    border-bottom: 1px solid var(--faint-col);\n",
       "    position: relative;\n",
       "}\n",
       ".row-item{\n",
       "    flex-grow: 1\n",
       "}\n",
       ".row-item-l{\n",
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       ".row-item-r{\n",
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       ".row-sub-heading{\n",
       "    border-color: var(--accent-col-emph);\n",
       "}\n",
       "\n",
       "/* FOR DISPLAYING CIRCUITS */\n",
       "/* Main preview container */\n",
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       "    height: 100%;\n",
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       ".circuit_variables {\n",
       "    /* Define some variables */\n",
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       "\n",
       "/* Box colours */\n",
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       "    --box-col: #ffee00;\n",
       "    --box-col-overlay: rgba(255, 255, 0, 0.2);\n",
       "    --c-box-col: #ffee88;\n",
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       "    flex-wrap: nowrap;\n",
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       ".nested-circuit-container{\n",
       "    display: flex;\n",
       "    overflow: auto;\n",
       "    max-width: 400px;\n",
       "    background: var(--box-col-overlay);\n",
       "    border: 1px solid var(--box-col);\n",
       "}\n",
       ".nested-circuit-container::-webkit-scrollbar {\n",
       "    height: 0;\n",
       "    width: 0;\n",
       "}\n",
       ".circuit-inner-scroll{\n",
       "    overflow: visible;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    margin: auto;\n",
       "    margin-top: 2px;\n",
       "}\n",
       ".circuit-end{\n",
       "    width: 2px;\n",
       "    height: auto;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0 calc(var(--box-height)/2 + 20px);\n",
       "}\n",
       ".circuit-layer{\n",
       "    min-width: 40px;\n",
       "    width: max-content;\n",
       "    display: flex;\n",
       "    flex-flow: column nowrap;\n",
       "    flex-grow: 1;\n",
       "    justify-content: space-between;\n",
       "    align-items: stretch;\n",
       "    margin-bottom: 20px;\n",
       "}\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-child(2),\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-last-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-last-child(2),\n",
       ".gate_container.nested > .circuit-layer:first-child,\n",
       ".gate_container.nested > .circuit-layer:last-child{\n",
       "    min-width: 10px;\n",
       "}\n",
       ".nested .circuit-layer{\n",
       "    margin-bottom: 0;\n",
       "}\n",
       ".flex_wire{\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Display qubit names at start of circuit */\n",
       ".circuit-layer.qubits{\n",
       "    flex-grow: 0;\n",
       "    color: var(--wire-col);\n",
       "}\n",
       ".qubit{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    padding: 10px;\n",
       "    text-align: center;\n",
       "    font-family: monospace;\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".wire{\n",
       "    height: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0;\n",
       "}\n",
       ".wire.classical{\n",
       "    border-color: var(--c-wire-col) !important;\n",
       "    background: var(--c-wire-col) !important;\n",
       "}\n",
       ".wire.transparent-wire{\n",
       "    border-color: transparent;\n",
       "    background: transparent;\n",
       "}\n",
       "\n",
       "/* Generic base for our gates */\n",
       ".gate_container{\n",
       "    position: relative;\n",
       "    min-width: -moz-fit-content;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".gate_container.nested{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container.nested:after{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container .classical{\n",
       "    background: var(--c-box-col);\n",
       "    border-color: var(--index-col);\n",
       "}\n",
       ".gate{\n",
       "    position: relative;\n",
       "    height: calc(var(--box-height) - 16px);\n",
       "    margin: 0 9px;\n",
       "    padding: 9px 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    border-bottom: none;\n",
       "    border-top: none;\n",
       "    text-align: left;\n",
       "    background: var(--box-col);\n",
       "    display: flex;\n",
       "    box-sizing: content-box;\n",
       "    z-index: 1;\n",
       "}\n",
       ".wire-label{\n",
       "    color: var(--index-col);\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    padding-right: 5px;\n",
       "}\n",
       ".gate_top > .wire-label,\n",
       ".gate_bottom > .wire-label {\n",
       "    padding-top: 0;\n",
       "}\n",
       ".nested-label-layer{\n",
       "    background: var(--box-col);\n",
       "    padding: 0 5px;\n",
       "}\n",
       ".nested-label-layer .wire-label{\n",
       "    padding: 10px 0;\n",
       "}\n",
       "\n",
       "/* Multi-qubit gates */\n",
       ".gate_bottom{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-bottom: 10px;\n",
       "    padding-bottom: 0;\n",
       "    border-bottom: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_top{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-top: 10px;\n",
       "    padding-top: 0;\n",
       "    border-top: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_name{\n",
       "    text-align: center;\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Single qubit gate*/\n",
       ".gate_box{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    margin: 10px;\n",
       "    padding: 0 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "/* Special gates */\n",
       ".gate_connection {\n",
       "    position: absolute;\n",
       "    top: -3px;\n",
       "    left: -1px;\n",
       "    border: none;\n",
       "    margin: calc(var(--box-height)/2) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "}\n",
       ".gate_swap {\n",
       "    height: 20px;\n",
       "    width: 20px;\n",
       "    margin: calc(var(--box-height)/2 - 6px) calc(50% - 9px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M60%200%20L32%2028%20L4%200%20L0%204%20L28%2032%20L0%2060%20L4%2064%20L32%2036%20L60%2064%20L64%2060%20L36%2032%20L64%204%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_measure {\n",
       "    height: 20px;\n",
       "    width: 25px;\n",
       "    margin: calc(var(--box-height)/2 - 10px) calc(50% - 11px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%27-10%20-10%2084%2084%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27white%27%0A%20%20stroke%3D%22black%22%0A%20%20stroke-width%3D%224px%22%0A%3E%0A%20%20%3Cpath%20d%3D%27M63%2C63%20C63%2C32%2048%2C16%2032%2C16%20C16%2C16%201%2C32%201%2C63%20L63%2C63%27%20/%3E%0A%20%20%3Cpath%20d%3D%22M32%2C63%20L56%2C16%22%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_control {\n",
       "    position: absolute;\n",
       "    top: 0;\n",
       "    left: 0;\n",
       "    border-radius: 50%;\n",
       "    width: 6px;\n",
       "    height: 6px;\n",
       "    margin: calc(var(--box-height)/2 - 3px) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    background: var(--box-col);\n",
       "}\n",
       ".gate_control.classical{\n",
       "    background: var(--c-wire-col);\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       ".control_index{\n",
       "    position: absolute;\n",
       "    right: calc(50% - 1em);\n",
       "    top: calc(50% - 1.4em);\n",
       "    color: var(--c-wire-col);\n",
       "    font-size: 0.8em;\n",
       "}\n",
       ".control_index.measure{\n",
       "    right: calc(50% - 1.2em);\n",
       "    top: calc(50% - 1.8em);\n",
       "    color: var(--index-col);\n",
       "}\n",
       ".gate_x {\n",
       "    top: -10px;\n",
       "    left: -6px;\n",
       "    border-radius: 50%;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 20px;\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M36%2064%20L36%2036%20L64%2036%20L64%2028%20L36%2028%20L36%200%20L28%200%20L28%2028%20L0%2028%20L0%2036%20L28%2036%20L28%2064%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-color: var(--box-col);\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_reset{\n",
       "    margin: 11px 10px;\n",
       "    padding: 0 0 0 10px;\n",
       "    border: none !important;\n",
       "    border-left: 2px solid var(--wire-col) !important;\n",
       "    background: transparent;\n",
       "}\n",
       ".gate_reset_spider{\n",
       "    width: calc(var(--box-height) - 24px);\n",
       "    height: calc(var(--box-height) - 24px);\n",
       "    background: var(--box-col);\n",
       "    border: 2px solid var(--wire-col);\n",
       "    border-radius: 50%;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       "\n",
       "/* Add wire sections coming in and out of the gate */\n",
       ".gate_in:before, .gate_in:after{\n",
       "    content: '';\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    top: calc(50% - 1px);\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 9px;\n",
       "    height: 0;\n",
       "    background: var(--wire-col);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".classical.gate_in:before,\n",
       ".classical.gate_in:after{\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       "\n",
       ".gate_in:before{\n",
       "    left: -12px;\n",
       "}\n",
       ".gate_out:after{\n",
       "    right: -12px;\n",
       "}\n",
       ".gate_top.gate_in:before, .gate_top.gate_out:after{\n",
       "    top:calc(50% - 6.5px)\n",
       "}\n",
       ".gate_bottom.gate_in:before, .gate_bottom.gate_out:after{\n",
       "    top:calc(50% + 4.5px)\n",
       "}\n",
       "\n",
       "\n",
       ".link-bottom, .link-top {\n",
       "    height: var(--box-height);\n",
       "    width: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    left: calc(50% - 1px);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".link-top{\n",
       "    top: calc(0px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom{\n",
       "    top: calc(var(--box-height)/2)\n",
       "}\n",
       ".half-link {\n",
       "    height: calc(var(--box-height) - 9px);\n",
       "}\n",
       ".half-link.link-bottom{\n",
       "    top: calc(var(--box-height)/2 + 11px)\n",
       "}\n",
       ".half-link.link-top{\n",
       "    top: calc(-2px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom.measurement{\n",
       "    width: 3px;\n",
       "    left: calc(50% - 0.5px);\n",
       "    border: none;\n",
       "    background: var(--c-wire-col);\n",
       "    height: calc(var(--box-height) + 2px);\n",
       "    z-index: 1;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "/* tool tips */\n",
       ".tool-tip-container{\n",
       "    margin: calc(0px - var(--box-height)) auto 0;\n",
       "    padding-top: var(--box-height);\n",
       "    position: relative;\n",
       "    bottom: 0;\n",
       "    left: 0;\n",
       "    right: 0;\n",
       "    height: 0;\n",
       "    z-index: 4;\n",
       "    width: fit-content;\n",
       "    overflow: hidden;\n",
       "}\n",
       ".tool-tip-container.no-js{\n",
       "    overflow: visible;\n",
       "}\n",
       ".tool-tip-container.no-js:hover{\n",
       "    z-index: 10;\n",
       "}\n",
       ".nested > .tool-tip-container{\n",
       "    position: absolute;\n",
       "    bottom: -10px;\n",
       "}\n",
       ".tool-tip{\n",
       "    visibility: hidden;\n",
       "    opacity: 0;\n",
       "    -webkit-transition: visibility 0.2s, opacity 0.2s;\n",
       "    -moz-transition: visibility 0.2s, opacity 0.2s;\n",
       "    transition: visibility 0.2s, opacity 0.2s;\n",
       "    max-width: 250px;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip{\n",
       "    visibility: visible;\n",
       "    opacity: 1;\n",
       "}\n",
       ".tool-tip-content{\n",
       "    background: var(--main-bg);\n",
       "    margin: 0 auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    max-width: 100%;\n",
       "}\n",
       ".no-js > .tool-tip > .tool-tip-content{\n",
       "    height: auto;\n",
       "    padding: 20px;\n",
       "    margin: 0 auto;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip > .tool-tip-content,\n",
       ".no-js > tool-tip > .tool-tip-content:hover{\n",
       "    box-shadow: 0 -5px 20px 5px var(--faint-col-overlay);\n",
       "}\n",
       ".tool-tip:after{\n",
       "    content: \" \";\n",
       "    position: absolute;\n",
       "    bottom: 0;\n",
       "    left: 50%;\n",
       "    margin-left: -5px;\n",
       "    border-width: 5px;\n",
       "    border-style: solid;\n",
       "    border-color: transparent transparent var(--main-bg) transparent;\n",
       "}\n",
       ".tool-tip .complex-number{\n",
       "    padding: 4px;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested{\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "}\n",
       ".nested-label-layer.as-height{\n",
       "    padding: 0;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested > .nested-circuit-container,\n",
       ".circuit-preview.condensed > .nested-circuit-container{\n",
       "    background: transparent;\n",
       "    border: none;\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "    max-width: unset;\n",
       "}\n",
       "\n",
       "/* Tool-tip modal */\n",
       ".circuit-grid{\n",
       "    display: flex;\n",
       "    flex-direction: row-reverse;\n",
       "    align-items: stretch;\n",
       "    align-content: stretch;\n",
       "}\n",
       ".circuit-grid-circuit{\n",
       "    flex: 1 1 auto;\n",
       "    margin-top: 30px;\n",
       "    overflow: auto;\n",
       "    max-height: inherit;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "/*  FOR DISPLAYING CHARTS  */\n",
       "table{\n",
       "    border-collapse: collapse;\n",
       "}\n",
       ".table-container{\n",
       "    margin: auto;\n",
       "}\n",
       ".bar-chart-container{\n",
       "    min-width: 300px;\n",
       "    width: 60%;\n",
       "}\n",
       ".square-chart-container{\n",
       "    width: auto;\n",
       "    min-width: 0;\n",
       "    overflow: hidden;\n",
       "}\n",
       "\n",
       "/* Make sure we can see the rightmost border */\n",
       ".square-chart-container tbody{\n",
       "    position: relative;\n",
       "    left: -1px;\n",
       "    display: block;\n",
       "}\n",
       "thead > tr{\n",
       "    background: transparent !important;\n",
       "}\n",
       "tr:hover, tr {\n",
       "    background: initial !important;\n",
       "}\n",
       "\n",
       "td, th{\n",
       "    padding: 10px;\n",
       "    position: relative;\n",
       "}\n",
       "\n",
       "/* COMPLEX NUMBERS AND MATRICES */\n",
       ".complex-number{\n",
       "    padding: 10px;\n",
       "}\n",
       ".mid-number{\n",
       "    padding: 5px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".large-number{\n",
       "    padding: 2px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".matrix_container{\n",
       "    border: 2px solid var(--mid-col);\n",
       "    border-top: 0;\n",
       "    border-bottom: 0;\n",
       "    margin: auto !important;\n",
       "    border-collapse: collapse;\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "\n",
       "/* LIST RESULTS NICELY */\n",
       ".list{\n",
       "    flex-wrap: wrap;\n",
       "    justify-content: space-evenly;\n",
       "    align-items: stretch;\n",
       "    padding: 0;\n",
       "}\n",
       ".list > *{\n",
       "    margin: 10px;\n",
       "}\n",
       ".list > .row-sub-heading{\n",
       "    margin: 10px 0;\n",
       "}\n",
       "</style>\n",
       "\n",
       "</head>\n",
       "<body>\n",
       "    <div class=\"row circuit-grid circuit__preview-body\">\n",
       "        <div class=\"circuit-grid-circuit thin-scrollbar\"  style=\"\">\n",
       "            \n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "    <div class=\"circuit-preview circuit_variables condensed\">\n",
       "        \n",
       "            \n",
       "            <div class=\"nested-label-layer as-height\">\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "            </div>\n",
       "            <div class=\"nested-circuit-container\"><div class=\"circuit-inner-scroll\">\n",
       "        \n",
       "        <div class=\"circuit-container nested\">\n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">q[0]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[1]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[2]</div>\n",
       "        \n",
       "        \n",
       "    </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rx(0.5)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
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       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
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       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
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       "            \n",
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       "            <div class=\"gate_container nested\">\n",
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       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(0.3)</span>\n",
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       "            \n",
       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
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       "                        \n",
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       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
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       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
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       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
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       "    \n",
       "                        \n",
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       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
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       "    \n",
       "                        \n",
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       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
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       "        \n",
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       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "                    <div class=\"link-top\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
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       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
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       "    \n",
       "\n",
       "                    \n",
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       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
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       "        \n",
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       "            <div class=\"gate_container\">\n",
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       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">q[0]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[1]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[2]</div>\n",
       "        \n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        \n",
       "            </div></div>\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "\n",
       "\n",
       "        </div>\n",
       "    </div>\n",
       "</body>\n",
       "</html>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pytket import OpType\n",
    "\n",
    "circ = Circuit(3)\n",
    "\n",
    "circ.Rx(0.5, 0)\n",
    "circ.CRz(0.3, 1, 2)\n",
    "circ.add_gate(OpType.CnX, [0, 2, 1])\n",
    "\n",
    "render_circuit_jupyter(circ)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "blessed-transparency",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Device Specific Gates\n",
    "\n",
    "You'll find gate for a selection of devices in pytket. These include devices from Rigetti, IBM, OQC, Google, etc.\n",
    "\n",
    "In the case of the HQS devices, an instance of the \\\\( \\mathsf{ZZPhase} \\\\) is native.\n",
    "\\\\[ \\mathsf{ZZPhase} : \\left( \\alpha \\right) \\rightarrow e^{-\\frac{1}{2} i \\pi \\alpha \\mathsf{Z} \\otimes \\mathsf{Z}} = \n",
    "\\begin{bmatrix}\n",
    "    e^{-\\frac{1}{2} i \\pi \\alpha} & 0 & 0 & 0\\\\\n",
    "    0 & e^{\\frac{1}{2} i \\pi \\alpha} & 0 & 0\\\\\n",
    "    0 & 0 & e^{\\frac{1}{2} i \\pi \\alpha} & 0\\\\\n",
    "    0 & 0 & 0 & e^{-\\frac{1}{2} i \\pi \\alpha}\n",
    "\\end{bmatrix} \n",
    "\\\\]\n",
    "In particular \\\\( \\mathsf{ZZPhase}\\left( \\frac{1}{2} \\right) \\\\) is used, and can be accessed as the \\\\( \\mathsf{ZZMax} \\\\) gate via pytket."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "forced-satin",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
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       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "<!DOCTYPE html>\n",
       "<html lang=\"en\">\n",
       "<head>\n",
       "    <meta charset=\"UTF-8\">\n",
       "    \n",
       "<style>\n",
       "body, .circuit__preview-body {\n",
       "    font-family: \"roboto\", system-ui, sans-serif;\n",
       "    --accent-col: green;\n",
       "    --accent-col-fill: darkseagreen;\n",
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       "    --accent-col-emph: limegreen;\n",
       "    --accent-col-overlay: rgba(130,255,140,0.2);\n",
       "    --accent-col-outline: rgba(30, 250, 30,0.2);\n",
       "    --main-col: black;\n",
       "    --mid-col: #bbb;\n",
       "    --faint-col: #eee;\n",
       "    --faint-col-overlay: rgba(0, 0, 0, 0.05);\n",
       "    --main-bg: white;\n",
       "}\n",
       "\n",
       ".row{\n",
       "    display: flex;\n",
       "    flex-wrap: wrap;\n",
       "    align-items: center;\n",
       "    padding: 10px;\n",
       "    border-bottom: 1px solid var(--faint-col);\n",
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       ".row-item{\n",
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       "    border-color: var(--accent-col-emph);\n",
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       "\n",
       "/* FOR DISPLAYING CIRCUITS */\n",
       "/* Main preview container */\n",
       ".circuit-preview {\n",
       "    width: 100%;\n",
       "    height: 100%;\n",
       "    text-align: center;\n",
       "    color: black;\n",
       "}\n",
       ".circuit_variables {\n",
       "    /* Define some variables */\n",
       "    --box-height: 40px;\n",
       "    --wire-col: black;\n",
       "    --c-wire-col: #bbb;\n",
       "    --box-col: #ccc;\n",
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       ".circuit-preview.condensed{\n",
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       "\n",
       "/* Box colours */\n",
       ".h {\n",
       "    --box-col: #ffee00;\n",
       "    --box-col-overlay: rgba(255, 255, 0, 0.2);\n",
       "    --c-box-col: #ffee88;\n",
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       "    --c-box-col: #86c6f6;\n",
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       ".z {\n",
       "    --box-col: #ccffcc;\n",
       "    --box-col-overlay: rgba(0, 255, 0, 0.2);\n",
       "    --c-box-col: #e2ffe2;\n",
       "    --index-col: green;\n",
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       "\n",
       ".circuit-container{\n",
       "    max-width: 100%;\n",
       "    display: flex;\n",
       "    flex-flow: row wrap;\n",
       "    justify-content: center;\n",
       "    align-content: flex-start;\n",
       "    margin: auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    background: rgba(255, 255, 255, 1);\n",
       "}\n",
       ".circuit-preview.condensed > .circuit-container{\n",
       "    flex-wrap: nowrap;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".circuit-container.nested{\n",
       "    position: relative;\n",
       "    flex-wrap: nowrap;\n",
       "    margin: -2px 0;\n",
       "}\n",
       ".nested-circuit-container{\n",
       "    display: flex;\n",
       "    overflow: auto;\n",
       "    max-width: 400px;\n",
       "    background: var(--box-col-overlay);\n",
       "    border: 1px solid var(--box-col);\n",
       "}\n",
       ".nested-circuit-container::-webkit-scrollbar {\n",
       "    height: 0;\n",
       "    width: 0;\n",
       "}\n",
       ".circuit-inner-scroll{\n",
       "    overflow: visible;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    margin: auto;\n",
       "    margin-top: 2px;\n",
       "}\n",
       ".circuit-end{\n",
       "    width: 2px;\n",
       "    height: auto;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0 calc(var(--box-height)/2 + 20px);\n",
       "}\n",
       ".circuit-layer{\n",
       "    min-width: 40px;\n",
       "    width: max-content;\n",
       "    display: flex;\n",
       "    flex-flow: column nowrap;\n",
       "    flex-grow: 1;\n",
       "    justify-content: space-between;\n",
       "    align-items: stretch;\n",
       "    margin-bottom: 20px;\n",
       "}\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-child(2),\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-last-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-last-child(2),\n",
       ".gate_container.nested > .circuit-layer:first-child,\n",
       ".gate_container.nested > .circuit-layer:last-child{\n",
       "    min-width: 10px;\n",
       "}\n",
       ".nested .circuit-layer{\n",
       "    margin-bottom: 0;\n",
       "}\n",
       ".flex_wire{\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Display qubit names at start of circuit */\n",
       ".circuit-layer.qubits{\n",
       "    flex-grow: 0;\n",
       "    color: var(--wire-col);\n",
       "}\n",
       ".qubit{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    padding: 10px;\n",
       "    text-align: center;\n",
       "    font-family: monospace;\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".wire{\n",
       "    height: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0;\n",
       "}\n",
       ".wire.classical{\n",
       "    border-color: var(--c-wire-col) !important;\n",
       "    background: var(--c-wire-col) !important;\n",
       "}\n",
       ".wire.transparent-wire{\n",
       "    border-color: transparent;\n",
       "    background: transparent;\n",
       "}\n",
       "\n",
       "/* Generic base for our gates */\n",
       ".gate_container{\n",
       "    position: relative;\n",
       "    min-width: -moz-fit-content;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".gate_container.nested{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container.nested:after{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container .classical{\n",
       "    background: var(--c-box-col);\n",
       "    border-color: var(--index-col);\n",
       "}\n",
       ".gate{\n",
       "    position: relative;\n",
       "    height: calc(var(--box-height) - 16px);\n",
       "    margin: 0 9px;\n",
       "    padding: 9px 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    border-bottom: none;\n",
       "    border-top: none;\n",
       "    text-align: left;\n",
       "    background: var(--box-col);\n",
       "    display: flex;\n",
       "    box-sizing: content-box;\n",
       "    z-index: 1;\n",
       "}\n",
       ".wire-label{\n",
       "    color: var(--index-col);\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    padding-right: 5px;\n",
       "}\n",
       ".gate_top > .wire-label,\n",
       ".gate_bottom > .wire-label {\n",
       "    padding-top: 0;\n",
       "}\n",
       ".nested-label-layer{\n",
       "    background: var(--box-col);\n",
       "    padding: 0 5px;\n",
       "}\n",
       ".nested-label-layer .wire-label{\n",
       "    padding: 10px 0;\n",
       "}\n",
       "\n",
       "/* Multi-qubit gates */\n",
       ".gate_bottom{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-bottom: 10px;\n",
       "    padding-bottom: 0;\n",
       "    border-bottom: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_top{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-top: 10px;\n",
       "    padding-top: 0;\n",
       "    border-top: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_name{\n",
       "    text-align: center;\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Single qubit gate*/\n",
       ".gate_box{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    margin: 10px;\n",
       "    padding: 0 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "/* Special gates */\n",
       ".gate_connection {\n",
       "    position: absolute;\n",
       "    top: -3px;\n",
       "    left: -1px;\n",
       "    border: none;\n",
       "    margin: calc(var(--box-height)/2) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "}\n",
       ".gate_swap {\n",
       "    height: 20px;\n",
       "    width: 20px;\n",
       "    margin: calc(var(--box-height)/2 - 6px) calc(50% - 9px);\n",
       "    background: url(\n",
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       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_measure {\n",
       "    height: 20px;\n",
       "    width: 25px;\n",
       "    margin: calc(var(--box-height)/2 - 10px) calc(50% - 11px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%27-10%20-10%2084%2084%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27white%27%0A%20%20stroke%3D%22black%22%0A%20%20stroke-width%3D%224px%22%0A%3E%0A%20%20%3Cpath%20d%3D%27M63%2C63%20C63%2C32%2048%2C16%2032%2C16%20C16%2C16%201%2C32%201%2C63%20L63%2C63%27%20/%3E%0A%20%20%3Cpath%20d%3D%22M32%2C63%20L56%2C16%22%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_control {\n",
       "    position: absolute;\n",
       "    top: 0;\n",
       "    left: 0;\n",
       "    border-radius: 50%;\n",
       "    width: 6px;\n",
       "    height: 6px;\n",
       "    margin: calc(var(--box-height)/2 - 3px) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    background: var(--box-col);\n",
       "}\n",
       ".gate_control.classical{\n",
       "    background: var(--c-wire-col);\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       ".control_index{\n",
       "    position: absolute;\n",
       "    right: calc(50% - 1em);\n",
       "    top: calc(50% - 1.4em);\n",
       "    color: var(--c-wire-col);\n",
       "    font-size: 0.8em;\n",
       "}\n",
       ".control_index.measure{\n",
       "    right: calc(50% - 1.2em);\n",
       "    top: calc(50% - 1.8em);\n",
       "    color: var(--index-col);\n",
       "}\n",
       ".gate_x {\n",
       "    top: -10px;\n",
       "    left: -6px;\n",
       "    border-radius: 50%;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 20px;\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M36%2064%20L36%2036%20L64%2036%20L64%2028%20L36%2028%20L36%200%20L28%200%20L28%2028%20L0%2028%20L0%2036%20L28%2036%20L28%2064%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-color: var(--box-col);\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_reset{\n",
       "    margin: 11px 10px;\n",
       "    padding: 0 0 0 10px;\n",
       "    border: none !important;\n",
       "    border-left: 2px solid var(--wire-col) !important;\n",
       "    background: transparent;\n",
       "}\n",
       ".gate_reset_spider{\n",
       "    width: calc(var(--box-height) - 24px);\n",
       "    height: calc(var(--box-height) - 24px);\n",
       "    background: var(--box-col);\n",
       "    border: 2px solid var(--wire-col);\n",
       "    border-radius: 50%;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       "\n",
       "/* Add wire sections coming in and out of the gate */\n",
       ".gate_in:before, .gate_in:after{\n",
       "    content: '';\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    top: calc(50% - 1px);\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 9px;\n",
       "    height: 0;\n",
       "    background: var(--wire-col);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".classical.gate_in:before,\n",
       ".classical.gate_in:after{\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       "\n",
       ".gate_in:before{\n",
       "    left: -12px;\n",
       "}\n",
       ".gate_out:after{\n",
       "    right: -12px;\n",
       "}\n",
       ".gate_top.gate_in:before, .gate_top.gate_out:after{\n",
       "    top:calc(50% - 6.5px)\n",
       "}\n",
       ".gate_bottom.gate_in:before, .gate_bottom.gate_out:after{\n",
       "    top:calc(50% + 4.5px)\n",
       "}\n",
       "\n",
       "\n",
       ".link-bottom, .link-top {\n",
       "    height: var(--box-height);\n",
       "    width: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    left: calc(50% - 1px);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".link-top{\n",
       "    top: calc(0px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom{\n",
       "    top: calc(var(--box-height)/2)\n",
       "}\n",
       ".half-link {\n",
       "    height: calc(var(--box-height) - 9px);\n",
       "}\n",
       ".half-link.link-bottom{\n",
       "    top: calc(var(--box-height)/2 + 11px)\n",
       "}\n",
       ".half-link.link-top{\n",
       "    top: calc(-2px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom.measurement{\n",
       "    width: 3px;\n",
       "    left: calc(50% - 0.5px);\n",
       "    border: none;\n",
       "    background: var(--c-wire-col);\n",
       "    height: calc(var(--box-height) + 2px);\n",
       "    z-index: 1;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "/* tool tips */\n",
       ".tool-tip-container{\n",
       "    margin: calc(0px - var(--box-height)) auto 0;\n",
       "    padding-top: var(--box-height);\n",
       "    position: relative;\n",
       "    bottom: 0;\n",
       "    left: 0;\n",
       "    right: 0;\n",
       "    height: 0;\n",
       "    z-index: 4;\n",
       "    width: fit-content;\n",
       "    overflow: hidden;\n",
       "}\n",
       ".tool-tip-container.no-js{\n",
       "    overflow: visible;\n",
       "}\n",
       ".tool-tip-container.no-js:hover{\n",
       "    z-index: 10;\n",
       "}\n",
       ".nested > .tool-tip-container{\n",
       "    position: absolute;\n",
       "    bottom: -10px;\n",
       "}\n",
       ".tool-tip{\n",
       "    visibility: hidden;\n",
       "    opacity: 0;\n",
       "    -webkit-transition: visibility 0.2s, opacity 0.2s;\n",
       "    -moz-transition: visibility 0.2s, opacity 0.2s;\n",
       "    transition: visibility 0.2s, opacity 0.2s;\n",
       "    max-width: 250px;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip{\n",
       "    visibility: visible;\n",
       "    opacity: 1;\n",
       "}\n",
       ".tool-tip-content{\n",
       "    background: var(--main-bg);\n",
       "    margin: 0 auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    max-width: 100%;\n",
       "}\n",
       ".no-js > .tool-tip > .tool-tip-content{\n",
       "    height: auto;\n",
       "    padding: 20px;\n",
       "    margin: 0 auto;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip > .tool-tip-content,\n",
       ".no-js > tool-tip > .tool-tip-content:hover{\n",
       "    box-shadow: 0 -5px 20px 5px var(--faint-col-overlay);\n",
       "}\n",
       ".tool-tip:after{\n",
       "    content: \" \";\n",
       "    position: absolute;\n",
       "    bottom: 0;\n",
       "    left: 50%;\n",
       "    margin-left: -5px;\n",
       "    border-width: 5px;\n",
       "    border-style: solid;\n",
       "    border-color: transparent transparent var(--main-bg) transparent;\n",
       "}\n",
       ".tool-tip .complex-number{\n",
       "    padding: 4px;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested{\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "}\n",
       ".nested-label-layer.as-height{\n",
       "    padding: 0;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested > .nested-circuit-container,\n",
       ".circuit-preview.condensed > .nested-circuit-container{\n",
       "    background: transparent;\n",
       "    border: none;\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "    max-width: unset;\n",
       "}\n",
       "\n",
       "/* Tool-tip modal */\n",
       ".circuit-grid{\n",
       "    display: flex;\n",
       "    flex-direction: row-reverse;\n",
       "    align-items: stretch;\n",
       "    align-content: stretch;\n",
       "}\n",
       ".circuit-grid-circuit{\n",
       "    flex: 1 1 auto;\n",
       "    margin-top: 30px;\n",
       "    overflow: auto;\n",
       "    max-height: inherit;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "/*  FOR DISPLAYING CHARTS  */\n",
       "table{\n",
       "    border-collapse: collapse;\n",
       "}\n",
       ".table-container{\n",
       "    margin: auto;\n",
       "}\n",
       ".bar-chart-container{\n",
       "    min-width: 300px;\n",
       "    width: 60%;\n",
       "}\n",
       ".square-chart-container{\n",
       "    width: auto;\n",
       "    min-width: 0;\n",
       "    overflow: hidden;\n",
       "}\n",
       "\n",
       "/* Make sure we can see the rightmost border */\n",
       ".square-chart-container tbody{\n",
       "    position: relative;\n",
       "    left: -1px;\n",
       "    display: block;\n",
       "}\n",
       "thead > tr{\n",
       "    background: transparent !important;\n",
       "}\n",
       "tr:hover, tr {\n",
       "    background: initial !important;\n",
       "}\n",
       "\n",
       "td, th{\n",
       "    padding: 10px;\n",
       "    position: relative;\n",
       "}\n",
       "\n",
       "/* COMPLEX NUMBERS AND MATRICES */\n",
       ".complex-number{\n",
       "    padding: 10px;\n",
       "}\n",
       ".mid-number{\n",
       "    padding: 5px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".large-number{\n",
       "    padding: 2px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".matrix_container{\n",
       "    border: 2px solid var(--mid-col);\n",
       "    border-top: 0;\n",
       "    border-bottom: 0;\n",
       "    margin: auto !important;\n",
       "    border-collapse: collapse;\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "\n",
       "/* LIST RESULTS NICELY */\n",
       ".list{\n",
       "    flex-wrap: wrap;\n",
       "    justify-content: space-evenly;\n",
       "    align-items: stretch;\n",
       "    padding: 0;\n",
       "}\n",
       ".list > *{\n",
       "    margin: 10px;\n",
       "}\n",
       ".list > .row-sub-heading{\n",
       "    margin: 10px 0;\n",
       "}\n",
       "</style>\n",
       "\n",
       "</head>\n",
       "<body>\n",
       "    <div class=\"row circuit-grid circuit__preview-body\">\n",
       "        <div class=\"circuit-grid-circuit thin-scrollbar\"  style=\"\">\n",
       "            \n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "    <div class=\"circuit-preview circuit_variables condensed\">\n",
       "        \n",
       "            \n",
       "            <div class=\"nested-label-layer as-height\">\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "            </div>\n",
       "            <div class=\"nested-circuit-container\"><div class=\"circuit-inner-scroll\">\n",
       "        \n",
       "        <div class=\"circuit-container nested\">\n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">q[0]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[1]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[2]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[3]</div>\n",
       "        \n",
       "        \n",
       "    </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container \">\n",
       "        <div class=\"gate gate_in gate_out \n",
       "                gate_top \">\n",
       "            <span class=\"wire-label\">0</span>\n",
       "            <span class=\"gate_name\"></span>\n",
       "        </div>\n",
       "\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "            \n",
       "                <div class=\"gate_container z\">\n",
       "        <div class=\"gate  \n",
       "                 \">\n",
       "            <span class=\"wire-label\"></span>\n",
       "            <span class=\"gate_name\">ZZPhase(0.7)</span>\n",
       "        </div>\n",
       "\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "            \n",
       "                <div class=\"gate_container z\">\n",
       "        <div class=\"gate gate_in gate_out \n",
       "                 gate_bottom\">\n",
       "            <span class=\"wire-label\">1</span>\n",
       "            <span class=\"gate_name\"></span>\n",
       "        </div>\n",
       "\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "            \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container \">\n",
       "        <div class=\"gate gate_in gate_out \n",
       "                gate_top \">\n",
       "            <span class=\"wire-label\">0</span>\n",
       "            <span class=\"gate_name\"></span>\n",
       "        </div>\n",
       "\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "            \n",
       "                <div class=\"gate_container z\">\n",
       "        <div class=\"gate  \n",
       "                 \">\n",
       "            <span class=\"wire-label\"></span>\n",
       "            <span class=\"gate_name\">ZZMax</span>\n",
       "        </div>\n",
       "\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "            \n",
       "                <div class=\"gate_container z\">\n",
       "        <div class=\"gate gate_in gate_out \n",
       "                 gate_bottom\">\n",
       "            <span class=\"wire-label\">1</span>\n",
       "            <span class=\"gate_name\"></span>\n",
       "        </div>\n",
       "\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "            \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">PhasedX(3.9, 0.5)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">q[0]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[1]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[2]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[3]</div>\n",
       "        \n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        \n",
       "            </div></div>\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "\n",
       "\n",
       "        </div>\n",
       "    </div>\n",
       "</body>\n",
       "</html>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "circ = Circuit(4)\n",
    "\n",
    "circ.add_gate(OpType.ZZPhase, 0.7, [0, 2])\n",
    "circ.add_gate(OpType.ZZMax, [1, 3])\n",
    "circ.add_gate(OpType.PhasedX, [-0.1, 0.5], [3])\n",
    "\n",
    "render_circuit_jupyter(circ)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "nuclear-friend",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Universal gate sets\n",
    "\n",
    "Native gates for devices are typically as subset of all quantum gates. However this set is *universal*. \n",
    "- A set of universal quantum gates is any set of gates to which any operation possible on a quantum computer can be reduced. \n",
    "- The Solovay–Kitaev theorem guarantees that any quantum operation can be efficiently approximated by a sequence of gates from this finite set.\n",
    "\n",
    "The gate set \\\\( \\{ \\mathsf{ZZMax} , \\mathsf{PhasedX} , \\mathsf{Rx} \\} \\\\), which is avilable on the HQS devices, is universal."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "clear-longer",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "\\\\(\\textsf{TK1}\\\\) and \\\\(\\textsf{CNOT}\\\\) are together universal. Any single qubit gate can be implemented using the \\\\( \\textsf{TK1} \\\\) gate.\n",
    "\n",
    "\\\\[ \\textsf{TK1} : \\left( \\alpha , \\beta , \\gamma \\right) \\rightarrow \\textsf{RZ} \\left( \\alpha \\right) \\textsf{RX} \\left( \\beta \\right) \\textsf{RZ} \\left( \\gamma \\right) \\\\]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "accepting-metallic",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
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       "\n",
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       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "<!DOCTYPE html>\n",
       "<html lang=\"en\">\n",
       "<head>\n",
       "    <meta charset=\"UTF-8\">\n",
       "    \n",
       "<style>\n",
       "body, .circuit__preview-body {\n",
       "    font-family: \"roboto\", system-ui, sans-serif;\n",
       "    --accent-col: green;\n",
       "    --accent-col-fill: darkseagreen;\n",
       "    --accent-col-alt: #aca;\n",
       "    --accent-col-emph: limegreen;\n",
       "    --accent-col-overlay: rgba(130,255,140,0.2);\n",
       "    --accent-col-outline: rgba(30, 250, 30,0.2);\n",
       "    --main-col: black;\n",
       "    --mid-col: #bbb;\n",
       "    --faint-col: #eee;\n",
       "    --faint-col-overlay: rgba(0, 0, 0, 0.05);\n",
       "    --main-bg: white;\n",
       "}\n",
       "\n",
       ".row{\n",
       "    display: flex;\n",
       "    flex-wrap: wrap;\n",
       "    align-items: center;\n",
       "    padding: 10px;\n",
       "    border-bottom: 1px solid var(--faint-col);\n",
       "    position: relative;\n",
       "}\n",
       ".row-item{\n",
       "    flex-grow: 1\n",
       "}\n",
       ".row-item-l{\n",
       "    text-align: left;\n",
       "}\n",
       ".row-item-r{\n",
       "    text-align: right;\n",
       "}\n",
       ".row-sub-heading{\n",
       "    border-color: var(--accent-col-emph);\n",
       "}\n",
       "\n",
       "/* FOR DISPLAYING CIRCUITS */\n",
       "/* Main preview container */\n",
       ".circuit-preview {\n",
       "    width: 100%;\n",
       "    height: 100%;\n",
       "    text-align: center;\n",
       "    color: black;\n",
       "}\n",
       ".circuit_variables {\n",
       "    /* Define some variables */\n",
       "    --box-height: 40px;\n",
       "    --wire-col: black;\n",
       "    --c-wire-col: #bbb;\n",
       "    --box-col: #ccc;\n",
       "    --box-col-overlay: rgba(0,0,0,0.05);\n",
       "    --c-box-col: #ddd;\n",
       "    --index-col: #888;\n",
       "}\n",
       ".circuit-preview.condensed{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       "\n",
       "/* Box colours */\n",
       ".h {\n",
       "    --box-col: #ffee00;\n",
       "    --box-col-overlay: rgba(255, 255, 0, 0.2);\n",
       "    --c-box-col: #ffee88;\n",
       "    --index-col: #ffcc00;\n",
       "}\n",
       ".x {\n",
       "    --box-col: #ff8888;\n",
       "    --box-col-overlay: rgba(255, 0, 0, 0.2);\n",
       "    --c-box-col: #e8a6a6;\n",
       "    --index-col: red;\n",
       "}\n",
       ".y {\n",
       "    --box-col: #6699ff;\n",
       "    --box-col-overlay: rgba(0, 0, 255, 0.2);\n",
       "    --c-box-col: #86c6f6;\n",
       "    --index-col: blue;\n",
       "}\n",
       ".z {\n",
       "    --box-col: #ccffcc;\n",
       "    --box-col-overlay: rgba(0, 255, 0, 0.2);\n",
       "    --c-box-col: #e2ffe2;\n",
       "    --index-col: green;\n",
       "}\n",
       "\n",
       ".circuit-container{\n",
       "    max-width: 100%;\n",
       "    display: flex;\n",
       "    flex-flow: row wrap;\n",
       "    justify-content: center;\n",
       "    align-content: flex-start;\n",
       "    margin: auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    background: rgba(255, 255, 255, 1);\n",
       "}\n",
       ".circuit-preview.condensed > .circuit-container{\n",
       "    flex-wrap: nowrap;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".circuit-container.nested{\n",
       "    position: relative;\n",
       "    flex-wrap: nowrap;\n",
       "    margin: -2px 0;\n",
       "}\n",
       ".nested-circuit-container{\n",
       "    display: flex;\n",
       "    overflow: auto;\n",
       "    max-width: 400px;\n",
       "    background: var(--box-col-overlay);\n",
       "    border: 1px solid var(--box-col);\n",
       "}\n",
       ".nested-circuit-container::-webkit-scrollbar {\n",
       "    height: 0;\n",
       "    width: 0;\n",
       "}\n",
       ".circuit-inner-scroll{\n",
       "    overflow: visible;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    margin: auto;\n",
       "    margin-top: 2px;\n",
       "}\n",
       ".circuit-end{\n",
       "    width: 2px;\n",
       "    height: auto;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0 calc(var(--box-height)/2 + 20px);\n",
       "}\n",
       ".circuit-layer{\n",
       "    min-width: 40px;\n",
       "    width: max-content;\n",
       "    display: flex;\n",
       "    flex-flow: column nowrap;\n",
       "    flex-grow: 1;\n",
       "    justify-content: space-between;\n",
       "    align-items: stretch;\n",
       "    margin-bottom: 20px;\n",
       "}\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-child(2),\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-last-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-last-child(2),\n",
       ".gate_container.nested > .circuit-layer:first-child,\n",
       ".gate_container.nested > .circuit-layer:last-child{\n",
       "    min-width: 10px;\n",
       "}\n",
       ".nested .circuit-layer{\n",
       "    margin-bottom: 0;\n",
       "}\n",
       ".flex_wire{\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Display qubit names at start of circuit */\n",
       ".circuit-layer.qubits{\n",
       "    flex-grow: 0;\n",
       "    color: var(--wire-col);\n",
       "}\n",
       ".qubit{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    padding: 10px;\n",
       "    text-align: center;\n",
       "    font-family: monospace;\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".wire{\n",
       "    height: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0;\n",
       "}\n",
       ".wire.classical{\n",
       "    border-color: var(--c-wire-col) !important;\n",
       "    background: var(--c-wire-col) !important;\n",
       "}\n",
       ".wire.transparent-wire{\n",
       "    border-color: transparent;\n",
       "    background: transparent;\n",
       "}\n",
       "\n",
       "/* Generic base for our gates */\n",
       ".gate_container{\n",
       "    position: relative;\n",
       "    min-width: -moz-fit-content;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".gate_container.nested{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container.nested:after{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container .classical{\n",
       "    background: var(--c-box-col);\n",
       "    border-color: var(--index-col);\n",
       "}\n",
       ".gate{\n",
       "    position: relative;\n",
       "    height: calc(var(--box-height) - 16px);\n",
       "    margin: 0 9px;\n",
       "    padding: 9px 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    border-bottom: none;\n",
       "    border-top: none;\n",
       "    text-align: left;\n",
       "    background: var(--box-col);\n",
       "    display: flex;\n",
       "    box-sizing: content-box;\n",
       "    z-index: 1;\n",
       "}\n",
       ".wire-label{\n",
       "    color: var(--index-col);\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    padding-right: 5px;\n",
       "}\n",
       ".gate_top > .wire-label,\n",
       ".gate_bottom > .wire-label {\n",
       "    padding-top: 0;\n",
       "}\n",
       ".nested-label-layer{\n",
       "    background: var(--box-col);\n",
       "    padding: 0 5px;\n",
       "}\n",
       ".nested-label-layer .wire-label{\n",
       "    padding: 10px 0;\n",
       "}\n",
       "\n",
       "/* Multi-qubit gates */\n",
       ".gate_bottom{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-bottom: 10px;\n",
       "    padding-bottom: 0;\n",
       "    border-bottom: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_top{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-top: 10px;\n",
       "    padding-top: 0;\n",
       "    border-top: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_name{\n",
       "    text-align: center;\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Single qubit gate*/\n",
       ".gate_box{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    margin: 10px;\n",
       "    padding: 0 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "/* Special gates */\n",
       ".gate_connection {\n",
       "    position: absolute;\n",
       "    top: -3px;\n",
       "    left: -1px;\n",
       "    border: none;\n",
       "    margin: calc(var(--box-height)/2) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "}\n",
       ".gate_swap {\n",
       "    height: 20px;\n",
       "    width: 20px;\n",
       "    margin: calc(var(--box-height)/2 - 6px) calc(50% - 9px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M60%200%20L32%2028%20L4%200%20L0%204%20L28%2032%20L0%2060%20L4%2064%20L32%2036%20L60%2064%20L64%2060%20L36%2032%20L64%204%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_measure {\n",
       "    height: 20px;\n",
       "    width: 25px;\n",
       "    margin: calc(var(--box-height)/2 - 10px) calc(50% - 11px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%27-10%20-10%2084%2084%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27white%27%0A%20%20stroke%3D%22black%22%0A%20%20stroke-width%3D%224px%22%0A%3E%0A%20%20%3Cpath%20d%3D%27M63%2C63%20C63%2C32%2048%2C16%2032%2C16%20C16%2C16%201%2C32%201%2C63%20L63%2C63%27%20/%3E%0A%20%20%3Cpath%20d%3D%22M32%2C63%20L56%2C16%22%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_control {\n",
       "    position: absolute;\n",
       "    top: 0;\n",
       "    left: 0;\n",
       "    border-radius: 50%;\n",
       "    width: 6px;\n",
       "    height: 6px;\n",
       "    margin: calc(var(--box-height)/2 - 3px) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    background: var(--box-col);\n",
       "}\n",
       ".gate_control.classical{\n",
       "    background: var(--c-wire-col);\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       ".control_index{\n",
       "    position: absolute;\n",
       "    right: calc(50% - 1em);\n",
       "    top: calc(50% - 1.4em);\n",
       "    color: var(--c-wire-col);\n",
       "    font-size: 0.8em;\n",
       "}\n",
       ".control_index.measure{\n",
       "    right: calc(50% - 1.2em);\n",
       "    top: calc(50% - 1.8em);\n",
       "    color: var(--index-col);\n",
       "}\n",
       ".gate_x {\n",
       "    top: -10px;\n",
       "    left: -6px;\n",
       "    border-radius: 50%;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 20px;\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M36%2064%20L36%2036%20L64%2036%20L64%2028%20L36%2028%20L36%200%20L28%200%20L28%2028%20L0%2028%20L0%2036%20L28%2036%20L28%2064%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-color: var(--box-col);\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_reset{\n",
       "    margin: 11px 10px;\n",
       "    padding: 0 0 0 10px;\n",
       "    border: none !important;\n",
       "    border-left: 2px solid var(--wire-col) !important;\n",
       "    background: transparent;\n",
       "}\n",
       ".gate_reset_spider{\n",
       "    width: calc(var(--box-height) - 24px);\n",
       "    height: calc(var(--box-height) - 24px);\n",
       "    background: var(--box-col);\n",
       "    border: 2px solid var(--wire-col);\n",
       "    border-radius: 50%;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       "\n",
       "/* Add wire sections coming in and out of the gate */\n",
       ".gate_in:before, .gate_in:after{\n",
       "    content: '';\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    top: calc(50% - 1px);\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 9px;\n",
       "    height: 0;\n",
       "    background: var(--wire-col);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".classical.gate_in:before,\n",
       ".classical.gate_in:after{\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       "\n",
       ".gate_in:before{\n",
       "    left: -12px;\n",
       "}\n",
       ".gate_out:after{\n",
       "    right: -12px;\n",
       "}\n",
       ".gate_top.gate_in:before, .gate_top.gate_out:after{\n",
       "    top:calc(50% - 6.5px)\n",
       "}\n",
       ".gate_bottom.gate_in:before, .gate_bottom.gate_out:after{\n",
       "    top:calc(50% + 4.5px)\n",
       "}\n",
       "\n",
       "\n",
       ".link-bottom, .link-top {\n",
       "    height: var(--box-height);\n",
       "    width: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    left: calc(50% - 1px);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".link-top{\n",
       "    top: calc(0px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom{\n",
       "    top: calc(var(--box-height)/2)\n",
       "}\n",
       ".half-link {\n",
       "    height: calc(var(--box-height) - 9px);\n",
       "}\n",
       ".half-link.link-bottom{\n",
       "    top: calc(var(--box-height)/2 + 11px)\n",
       "}\n",
       ".half-link.link-top{\n",
       "    top: calc(-2px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom.measurement{\n",
       "    width: 3px;\n",
       "    left: calc(50% - 0.5px);\n",
       "    border: none;\n",
       "    background: var(--c-wire-col);\n",
       "    height: calc(var(--box-height) + 2px);\n",
       "    z-index: 1;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "/* tool tips */\n",
       ".tool-tip-container{\n",
       "    margin: calc(0px - var(--box-height)) auto 0;\n",
       "    padding-top: var(--box-height);\n",
       "    position: relative;\n",
       "    bottom: 0;\n",
       "    left: 0;\n",
       "    right: 0;\n",
       "    height: 0;\n",
       "    z-index: 4;\n",
       "    width: fit-content;\n",
       "    overflow: hidden;\n",
       "}\n",
       ".tool-tip-container.no-js{\n",
       "    overflow: visible;\n",
       "}\n",
       ".tool-tip-container.no-js:hover{\n",
       "    z-index: 10;\n",
       "}\n",
       ".nested > .tool-tip-container{\n",
       "    position: absolute;\n",
       "    bottom: -10px;\n",
       "}\n",
       ".tool-tip{\n",
       "    visibility: hidden;\n",
       "    opacity: 0;\n",
       "    -webkit-transition: visibility 0.2s, opacity 0.2s;\n",
       "    -moz-transition: visibility 0.2s, opacity 0.2s;\n",
       "    transition: visibility 0.2s, opacity 0.2s;\n",
       "    max-width: 250px;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip{\n",
       "    visibility: visible;\n",
       "    opacity: 1;\n",
       "}\n",
       ".tool-tip-content{\n",
       "    background: var(--main-bg);\n",
       "    margin: 0 auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    max-width: 100%;\n",
       "}\n",
       ".no-js > .tool-tip > .tool-tip-content{\n",
       "    height: auto;\n",
       "    padding: 20px;\n",
       "    margin: 0 auto;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip > .tool-tip-content,\n",
       ".no-js > tool-tip > .tool-tip-content:hover{\n",
       "    box-shadow: 0 -5px 20px 5px var(--faint-col-overlay);\n",
       "}\n",
       ".tool-tip:after{\n",
       "    content: \" \";\n",
       "    position: absolute;\n",
       "    bottom: 0;\n",
       "    left: 50%;\n",
       "    margin-left: -5px;\n",
       "    border-width: 5px;\n",
       "    border-style: solid;\n",
       "    border-color: transparent transparent var(--main-bg) transparent;\n",
       "}\n",
       ".tool-tip .complex-number{\n",
       "    padding: 4px;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested{\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "}\n",
       ".nested-label-layer.as-height{\n",
       "    padding: 0;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested > .nested-circuit-container,\n",
       ".circuit-preview.condensed > .nested-circuit-container{\n",
       "    background: transparent;\n",
       "    border: none;\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "    max-width: unset;\n",
       "}\n",
       "\n",
       "/* Tool-tip modal */\n",
       ".circuit-grid{\n",
       "    display: flex;\n",
       "    flex-direction: row-reverse;\n",
       "    align-items: stretch;\n",
       "    align-content: stretch;\n",
       "}\n",
       ".circuit-grid-circuit{\n",
       "    flex: 1 1 auto;\n",
       "    margin-top: 30px;\n",
       "    overflow: auto;\n",
       "    max-height: inherit;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "/*  FOR DISPLAYING CHARTS  */\n",
       "table{\n",
       "    border-collapse: collapse;\n",
       "}\n",
       ".table-container{\n",
       "    margin: auto;\n",
       "}\n",
       ".bar-chart-container{\n",
       "    min-width: 300px;\n",
       "    width: 60%;\n",
       "}\n",
       ".square-chart-container{\n",
       "    width: auto;\n",
       "    min-width: 0;\n",
       "    overflow: hidden;\n",
       "}\n",
       "\n",
       "/* Make sure we can see the rightmost border */\n",
       ".square-chart-container tbody{\n",
       "    position: relative;\n",
       "    left: -1px;\n",
       "    display: block;\n",
       "}\n",
       "thead > tr{\n",
       "    background: transparent !important;\n",
       "}\n",
       "tr:hover, tr {\n",
       "    background: initial !important;\n",
       "}\n",
       "\n",
       "td, th{\n",
       "    padding: 10px;\n",
       "    position: relative;\n",
       "}\n",
       "\n",
       "/* COMPLEX NUMBERS AND MATRICES */\n",
       ".complex-number{\n",
       "    padding: 10px;\n",
       "}\n",
       ".mid-number{\n",
       "    padding: 5px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".large-number{\n",
       "    padding: 2px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".matrix_container{\n",
       "    border: 2px solid var(--mid-col);\n",
       "    border-top: 0;\n",
       "    border-bottom: 0;\n",
       "    margin: auto !important;\n",
       "    border-collapse: collapse;\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "\n",
       "/* LIST RESULTS NICELY */\n",
       ".list{\n",
       "    flex-wrap: wrap;\n",
       "    justify-content: space-evenly;\n",
       "    align-items: stretch;\n",
       "    padding: 0;\n",
       "}\n",
       ".list > *{\n",
       "    margin: 10px;\n",
       "}\n",
       ".list > .row-sub-heading{\n",
       "    margin: 10px 0;\n",
       "}\n",
       "</style>\n",
       "\n",
       "</head>\n",
       "<body>\n",
       "    <div class=\"row circuit-grid circuit__preview-body\">\n",
       "        <div class=\"circuit-grid-circuit thin-scrollbar\"  style=\"\">\n",
       "            \n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "    <div class=\"circuit-preview circuit_variables condensed\">\n",
       "        \n",
       "            \n",
       "            <div class=\"nested-label-layer as-height\">\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "            </div>\n",
       "            <div class=\"nested-circuit-container\"><div class=\"circuit-inner-scroll\">\n",
       "        \n",
       "        <div class=\"circuit-container nested\">\n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">q[0]</div>\n",
       "        \n",
       "        \n",
       "    </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container \">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">TK1(0.1, 0.2, 0.3)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">q[0]</div>\n",
       "        \n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        \n",
       "            </div></div>\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "\n",
       "\n",
       "        </div>\n",
       "    </div>\n",
       "</body>\n",
       "</html>"
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     "data": {
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       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "<!DOCTYPE html>\n",
       "<html lang=\"en\">\n",
       "<head>\n",
       "    <meta charset=\"UTF-8\">\n",
       "    \n",
       "<style>\n",
       "body, .circuit__preview-body {\n",
       "    font-family: \"roboto\", system-ui, sans-serif;\n",
       "    --accent-col: green;\n",
       "    --accent-col-fill: darkseagreen;\n",
       "    --accent-col-alt: #aca;\n",
       "    --accent-col-emph: limegreen;\n",
       "    --accent-col-overlay: rgba(130,255,140,0.2);\n",
       "    --accent-col-outline: rgba(30, 250, 30,0.2);\n",
       "    --main-col: black;\n",
       "    --mid-col: #bbb;\n",
       "    --faint-col: #eee;\n",
       "    --faint-col-overlay: rgba(0, 0, 0, 0.05);\n",
       "    --main-bg: white;\n",
       "}\n",
       "\n",
       ".row{\n",
       "    display: flex;\n",
       "    flex-wrap: wrap;\n",
       "    align-items: center;\n",
       "    padding: 10px;\n",
       "    border-bottom: 1px solid var(--faint-col);\n",
       "    position: relative;\n",
       "}\n",
       ".row-item{\n",
       "    flex-grow: 1\n",
       "}\n",
       ".row-item-l{\n",
       "    text-align: left;\n",
       "}\n",
       ".row-item-r{\n",
       "    text-align: right;\n",
       "}\n",
       ".row-sub-heading{\n",
       "    border-color: var(--accent-col-emph);\n",
       "}\n",
       "\n",
       "/* FOR DISPLAYING CIRCUITS */\n",
       "/* Main preview container */\n",
       ".circuit-preview {\n",
       "    width: 100%;\n",
       "    height: 100%;\n",
       "    text-align: center;\n",
       "    color: black;\n",
       "}\n",
       ".circuit_variables {\n",
       "    /* Define some variables */\n",
       "    --box-height: 40px;\n",
       "    --wire-col: black;\n",
       "    --c-wire-col: #bbb;\n",
       "    --box-col: #ccc;\n",
       "    --box-col-overlay: rgba(0,0,0,0.05);\n",
       "    --c-box-col: #ddd;\n",
       "    --index-col: #888;\n",
       "}\n",
       ".circuit-preview.condensed{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       "\n",
       "/* Box colours */\n",
       ".h {\n",
       "    --box-col: #ffee00;\n",
       "    --box-col-overlay: rgba(255, 255, 0, 0.2);\n",
       "    --c-box-col: #ffee88;\n",
       "    --index-col: #ffcc00;\n",
       "}\n",
       ".x {\n",
       "    --box-col: #ff8888;\n",
       "    --box-col-overlay: rgba(255, 0, 0, 0.2);\n",
       "    --c-box-col: #e8a6a6;\n",
       "    --index-col: red;\n",
       "}\n",
       ".y {\n",
       "    --box-col: #6699ff;\n",
       "    --box-col-overlay: rgba(0, 0, 255, 0.2);\n",
       "    --c-box-col: #86c6f6;\n",
       "    --index-col: blue;\n",
       "}\n",
       ".z {\n",
       "    --box-col: #ccffcc;\n",
       "    --box-col-overlay: rgba(0, 255, 0, 0.2);\n",
       "    --c-box-col: #e2ffe2;\n",
       "    --index-col: green;\n",
       "}\n",
       "\n",
       ".circuit-container{\n",
       "    max-width: 100%;\n",
       "    display: flex;\n",
       "    flex-flow: row wrap;\n",
       "    justify-content: center;\n",
       "    align-content: flex-start;\n",
       "    margin: auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    background: rgba(255, 255, 255, 1);\n",
       "}\n",
       ".circuit-preview.condensed > .circuit-container{\n",
       "    flex-wrap: nowrap;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".circuit-container.nested{\n",
       "    position: relative;\n",
       "    flex-wrap: nowrap;\n",
       "    margin: -2px 0;\n",
       "}\n",
       ".nested-circuit-container{\n",
       "    display: flex;\n",
       "    overflow: auto;\n",
       "    max-width: 400px;\n",
       "    background: var(--box-col-overlay);\n",
       "    border: 1px solid var(--box-col);\n",
       "}\n",
       ".nested-circuit-container::-webkit-scrollbar {\n",
       "    height: 0;\n",
       "    width: 0;\n",
       "}\n",
       ".circuit-inner-scroll{\n",
       "    overflow: visible;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    margin: auto;\n",
       "    margin-top: 2px;\n",
       "}\n",
       ".circuit-end{\n",
       "    width: 2px;\n",
       "    height: auto;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0 calc(var(--box-height)/2 + 20px);\n",
       "}\n",
       ".circuit-layer{\n",
       "    min-width: 40px;\n",
       "    width: max-content;\n",
       "    display: flex;\n",
       "    flex-flow: column nowrap;\n",
       "    flex-grow: 1;\n",
       "    justify-content: space-between;\n",
       "    align-items: stretch;\n",
       "    margin-bottom: 20px;\n",
       "}\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-child(2),\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-last-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-last-child(2),\n",
       ".gate_container.nested > .circuit-layer:first-child,\n",
       ".gate_container.nested > .circuit-layer:last-child{\n",
       "    min-width: 10px;\n",
       "}\n",
       ".nested .circuit-layer{\n",
       "    margin-bottom: 0;\n",
       "}\n",
       ".flex_wire{\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Display qubit names at start of circuit */\n",
       ".circuit-layer.qubits{\n",
       "    flex-grow: 0;\n",
       "    color: var(--wire-col);\n",
       "}\n",
       ".qubit{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    padding: 10px;\n",
       "    text-align: center;\n",
       "    font-family: monospace;\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".wire{\n",
       "    height: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0;\n",
       "}\n",
       ".wire.classical{\n",
       "    border-color: var(--c-wire-col) !important;\n",
       "    background: var(--c-wire-col) !important;\n",
       "}\n",
       ".wire.transparent-wire{\n",
       "    border-color: transparent;\n",
       "    background: transparent;\n",
       "}\n",
       "\n",
       "/* Generic base for our gates */\n",
       ".gate_container{\n",
       "    position: relative;\n",
       "    min-width: -moz-fit-content;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".gate_container.nested{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container.nested:after{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container .classical{\n",
       "    background: var(--c-box-col);\n",
       "    border-color: var(--index-col);\n",
       "}\n",
       ".gate{\n",
       "    position: relative;\n",
       "    height: calc(var(--box-height) - 16px);\n",
       "    margin: 0 9px;\n",
       "    padding: 9px 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    border-bottom: none;\n",
       "    border-top: none;\n",
       "    text-align: left;\n",
       "    background: var(--box-col);\n",
       "    display: flex;\n",
       "    box-sizing: content-box;\n",
       "    z-index: 1;\n",
       "}\n",
       ".wire-label{\n",
       "    color: var(--index-col);\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    padding-right: 5px;\n",
       "}\n",
       ".gate_top > .wire-label,\n",
       ".gate_bottom > .wire-label {\n",
       "    padding-top: 0;\n",
       "}\n",
       ".nested-label-layer{\n",
       "    background: var(--box-col);\n",
       "    padding: 0 5px;\n",
       "}\n",
       ".nested-label-layer .wire-label{\n",
       "    padding: 10px 0;\n",
       "}\n",
       "\n",
       "/* Multi-qubit gates */\n",
       ".gate_bottom{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-bottom: 10px;\n",
       "    padding-bottom: 0;\n",
       "    border-bottom: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_top{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-top: 10px;\n",
       "    padding-top: 0;\n",
       "    border-top: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_name{\n",
       "    text-align: center;\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Single qubit gate*/\n",
       ".gate_box{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    margin: 10px;\n",
       "    padding: 0 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "/* Special gates */\n",
       ".gate_connection {\n",
       "    position: absolute;\n",
       "    top: -3px;\n",
       "    left: -1px;\n",
       "    border: none;\n",
       "    margin: calc(var(--box-height)/2) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "}\n",
       ".gate_swap {\n",
       "    height: 20px;\n",
       "    width: 20px;\n",
       "    margin: calc(var(--box-height)/2 - 6px) calc(50% - 9px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M60%200%20L32%2028%20L4%200%20L0%204%20L28%2032%20L0%2060%20L4%2064%20L32%2036%20L60%2064%20L64%2060%20L36%2032%20L64%204%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_measure {\n",
       "    height: 20px;\n",
       "    width: 25px;\n",
       "    margin: calc(var(--box-height)/2 - 10px) calc(50% - 11px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%27-10%20-10%2084%2084%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27white%27%0A%20%20stroke%3D%22black%22%0A%20%20stroke-width%3D%224px%22%0A%3E%0A%20%20%3Cpath%20d%3D%27M63%2C63%20C63%2C32%2048%2C16%2032%2C16%20C16%2C16%201%2C32%201%2C63%20L63%2C63%27%20/%3E%0A%20%20%3Cpath%20d%3D%22M32%2C63%20L56%2C16%22%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_control {\n",
       "    position: absolute;\n",
       "    top: 0;\n",
       "    left: 0;\n",
       "    border-radius: 50%;\n",
       "    width: 6px;\n",
       "    height: 6px;\n",
       "    margin: calc(var(--box-height)/2 - 3px) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    background: var(--box-col);\n",
       "}\n",
       ".gate_control.classical{\n",
       "    background: var(--c-wire-col);\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       ".control_index{\n",
       "    position: absolute;\n",
       "    right: calc(50% - 1em);\n",
       "    top: calc(50% - 1.4em);\n",
       "    color: var(--c-wire-col);\n",
       "    font-size: 0.8em;\n",
       "}\n",
       ".control_index.measure{\n",
       "    right: calc(50% - 1.2em);\n",
       "    top: calc(50% - 1.8em);\n",
       "    color: var(--index-col);\n",
       "}\n",
       ".gate_x {\n",
       "    top: -10px;\n",
       "    left: -6px;\n",
       "    border-radius: 50%;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 20px;\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M36%2064%20L36%2036%20L64%2036%20L64%2028%20L36%2028%20L36%200%20L28%200%20L28%2028%20L0%2028%20L0%2036%20L28%2036%20L28%2064%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-color: var(--box-col);\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_reset{\n",
       "    margin: 11px 10px;\n",
       "    padding: 0 0 0 10px;\n",
       "    border: none !important;\n",
       "    border-left: 2px solid var(--wire-col) !important;\n",
       "    background: transparent;\n",
       "}\n",
       ".gate_reset_spider{\n",
       "    width: calc(var(--box-height) - 24px);\n",
       "    height: calc(var(--box-height) - 24px);\n",
       "    background: var(--box-col);\n",
       "    border: 2px solid var(--wire-col);\n",
       "    border-radius: 50%;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       "\n",
       "/* Add wire sections coming in and out of the gate */\n",
       ".gate_in:before, .gate_in:after{\n",
       "    content: '';\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    top: calc(50% - 1px);\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 9px;\n",
       "    height: 0;\n",
       "    background: var(--wire-col);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".classical.gate_in:before,\n",
       ".classical.gate_in:after{\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       "\n",
       ".gate_in:before{\n",
       "    left: -12px;\n",
       "}\n",
       ".gate_out:after{\n",
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       "    top:calc(50% - 6.5px)\n",
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       ".gate_bottom.gate_in:before, .gate_bottom.gate_out:after{\n",
       "    top:calc(50% + 4.5px)\n",
       "}\n",
       "\n",
       "\n",
       ".link-bottom, .link-top {\n",
       "    height: var(--box-height);\n",
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       "    border: 1px solid var(--wire-col);\n",
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       "    left: calc(50% - 1px);\n",
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       ".link-bottom.measurement{\n",
       "    width: 3px;\n",
       "    left: calc(50% - 0.5px);\n",
       "    border: none;\n",
       "    background: var(--c-wire-col);\n",
       "    height: calc(var(--box-height) + 2px);\n",
       "    z-index: 1;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "/* tool tips */\n",
       ".tool-tip-container{\n",
       "    margin: calc(0px - var(--box-height)) auto 0;\n",
       "    padding-top: var(--box-height);\n",
       "    position: relative;\n",
       "    bottom: 0;\n",
       "    left: 0;\n",
       "    right: 0;\n",
       "    height: 0;\n",
       "    z-index: 4;\n",
       "    width: fit-content;\n",
       "    overflow: hidden;\n",
       "}\n",
       ".tool-tip-container.no-js{\n",
       "    overflow: visible;\n",
       "}\n",
       ".tool-tip-container.no-js:hover{\n",
       "    z-index: 10;\n",
       "}\n",
       ".nested > .tool-tip-container{\n",
       "    position: absolute;\n",
       "    bottom: -10px;\n",
       "}\n",
       ".tool-tip{\n",
       "    visibility: hidden;\n",
       "    opacity: 0;\n",
       "    -webkit-transition: visibility 0.2s, opacity 0.2s;\n",
       "    -moz-transition: visibility 0.2s, opacity 0.2s;\n",
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       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip{\n",
       "    visibility: visible;\n",
       "    opacity: 1;\n",
       "}\n",
       ".tool-tip-content{\n",
       "    background: var(--main-bg);\n",
       "    margin: 0 auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    max-width: 100%;\n",
       "}\n",
       ".no-js > .tool-tip > .tool-tip-content{\n",
       "    height: auto;\n",
       "    padding: 20px;\n",
       "    margin: 0 auto;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip > .tool-tip-content,\n",
       ".no-js > tool-tip > .tool-tip-content:hover{\n",
       "    box-shadow: 0 -5px 20px 5px var(--faint-col-overlay);\n",
       "}\n",
       ".tool-tip:after{\n",
       "    content: \" \";\n",
       "    position: absolute;\n",
       "    bottom: 0;\n",
       "    left: 50%;\n",
       "    margin-left: -5px;\n",
       "    border-width: 5px;\n",
       "    border-style: solid;\n",
       "    border-color: transparent transparent var(--main-bg) transparent;\n",
       "}\n",
       ".tool-tip .complex-number{\n",
       "    padding: 4px;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested{\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "}\n",
       ".nested-label-layer.as-height{\n",
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       "}\n",
       ".tool-tip-content > .gate_container.nested > .nested-circuit-container,\n",
       ".circuit-preview.condensed > .nested-circuit-container{\n",
       "    background: transparent;\n",
       "    border: none;\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "    max-width: unset;\n",
       "}\n",
       "\n",
       "/* Tool-tip modal */\n",
       ".circuit-grid{\n",
       "    display: flex;\n",
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       "    align-items: stretch;\n",
       "    align-content: stretch;\n",
       "}\n",
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       "    flex: 1 1 auto;\n",
       "    margin-top: 30px;\n",
       "    overflow: auto;\n",
       "    max-height: inherit;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "/*  FOR DISPLAYING CHARTS  */\n",
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       "}\n",
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       "    width: auto;\n",
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       "}\n",
       "\n",
       "/* Make sure we can see the rightmost border */\n",
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       "    position: relative;\n",
       "    left: -1px;\n",
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       "    background: transparent !important;\n",
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       "\n",
       "td, th{\n",
       "    padding: 10px;\n",
       "    position: relative;\n",
       "}\n",
       "\n",
       "/* COMPLEX NUMBERS AND MATRICES */\n",
       ".complex-number{\n",
       "    padding: 10px;\n",
       "}\n",
       ".mid-number{\n",
       "    padding: 5px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".large-number{\n",
       "    padding: 2px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".matrix_container{\n",
       "    border: 2px solid var(--mid-col);\n",
       "    border-top: 0;\n",
       "    border-bottom: 0;\n",
       "    margin: auto !important;\n",
       "    border-collapse: collapse;\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "\n",
       "/* LIST RESULTS NICELY */\n",
       ".list{\n",
       "    flex-wrap: wrap;\n",
       "    justify-content: space-evenly;\n",
       "    align-items: stretch;\n",
       "    padding: 0;\n",
       "}\n",
       ".list > *{\n",
       "    margin: 10px;\n",
       "}\n",
       ".list > .row-sub-heading{\n",
       "    margin: 10px 0;\n",
       "}\n",
       "</style>\n",
       "\n",
       "</head>\n",
       "<body>\n",
       "    <div class=\"row circuit-grid circuit__preview-body\">\n",
       "        <div class=\"circuit-grid-circuit thin-scrollbar\"  style=\"\">\n",
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       "    <div class=\"circuit-preview circuit_variables condensed\">\n",
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       "                    <div class=\"wire-label\"></div>\n",
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       "            </div>\n",
       "            <div class=\"nested-circuit-container\"><div class=\"circuit-inner-scroll\">\n",
       "        \n",
       "        <div class=\"circuit-container nested\">\n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">q[0]</div>\n",
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       "                \n",
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       "                    <span class=\"gate_name\">Rz(0.3)</span>\n",
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      "text/plain": [
       "<IPython.core.display.HTML object>"
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     },
     "metadata": {},
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   ],
   "source": [
    "angles = [0.1, 0.2, 0.3]\n",
    "\n",
    "circ_tk = Circuit(1)\n",
    "circ_tk.add_gate(OpType.TK1, angles, [0])\n",
    "render_circuit_jupyter(circ_tk)\n",
    "\n",
    "circ_r = Circuit(1)\n",
    "circ_r.Rz(angles[2], 0).Rx(angles[1], 0).Rz(angles[0], 0)\n",
    "render_circuit_jupyter(circ_r)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "automated-bangladesh",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Arbitrary Two Qubit Gates\n",
    "\n",
    "As well as arbitrary single qubit gates, implemented via the \\\\( \\textsf{TK1} \\\\) gate, pytket allows for arbitrary two qubit, and indeed three qubit, gates to be defined using unitary matrices."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "adapted-guest",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[-0.36-0.17j -0.56+0.23j  0.27-0.28j -0.11-0.56j]\n",
      " [-0.11-0.55j -0.4 +0.13j -0.61+0.03j  0.01+0.37j]\n",
      " [-0.17-0.j    0.37-0.13j -0.53-0.38j  0.42-0.47j]\n",
      " [-0.56+0.44j -0.26-0.49j -0.02-0.22j  0.05+0.37j]]\n"
     ]
    }
   ],
   "source": [
    "from pytket.circuit import Unitary2qBox\n",
    "from scipy.stats import unitary_group\n",
    "\n",
    "x = unitary_group.rvs(4)\n",
    "two_q_box = Unitary2qBox(x)\n",
    "print(np.around(two_q_box.get_matrix(), 2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "urban-movie",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
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       "}\n",
       ".circuit-preview.condensed{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       "\n",
       "/* Box colours */\n",
       ".h {\n",
       "    --box-col: #ffee00;\n",
       "    --box-col-overlay: rgba(255, 255, 0, 0.2);\n",
       "    --c-box-col: #ffee88;\n",
       "    --index-col: #ffcc00;\n",
       "}\n",
       ".x {\n",
       "    --box-col: #ff8888;\n",
       "    --box-col-overlay: rgba(255, 0, 0, 0.2);\n",
       "    --c-box-col: #e8a6a6;\n",
       "    --index-col: red;\n",
       "}\n",
       ".y {\n",
       "    --box-col: #6699ff;\n",
       "    --box-col-overlay: rgba(0, 0, 255, 0.2);\n",
       "    --c-box-col: #86c6f6;\n",
       "    --index-col: blue;\n",
       "}\n",
       ".z {\n",
       "    --box-col: #ccffcc;\n",
       "    --box-col-overlay: rgba(0, 255, 0, 0.2);\n",
       "    --c-box-col: #e2ffe2;\n",
       "    --index-col: green;\n",
       "}\n",
       "\n",
       ".circuit-container{\n",
       "    max-width: 100%;\n",
       "    display: flex;\n",
       "    flex-flow: row wrap;\n",
       "    justify-content: center;\n",
       "    align-content: flex-start;\n",
       "    margin: auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    background: rgba(255, 255, 255, 1);\n",
       "}\n",
       ".circuit-preview.condensed > .circuit-container{\n",
       "    flex-wrap: nowrap;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".circuit-container.nested{\n",
       "    position: relative;\n",
       "    flex-wrap: nowrap;\n",
       "    margin: -2px 0;\n",
       "}\n",
       ".nested-circuit-container{\n",
       "    display: flex;\n",
       "    overflow: auto;\n",
       "    max-width: 400px;\n",
       "    background: var(--box-col-overlay);\n",
       "    border: 1px solid var(--box-col);\n",
       "}\n",
       ".nested-circuit-container::-webkit-scrollbar {\n",
       "    height: 0;\n",
       "    width: 0;\n",
       "}\n",
       ".circuit-inner-scroll{\n",
       "    overflow: visible;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    margin: auto;\n",
       "    margin-top: 2px;\n",
       "}\n",
       ".circuit-end{\n",
       "    width: 2px;\n",
       "    height: auto;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0 calc(var(--box-height)/2 + 20px);\n",
       "}\n",
       ".circuit-layer{\n",
       "    min-width: 40px;\n",
       "    width: max-content;\n",
       "    display: flex;\n",
       "    flex-flow: column nowrap;\n",
       "    flex-grow: 1;\n",
       "    justify-content: space-between;\n",
       "    align-items: stretch;\n",
       "    margin-bottom: 20px;\n",
       "}\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-child(2),\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-last-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-last-child(2),\n",
       ".gate_container.nested > .circuit-layer:first-child,\n",
       ".gate_container.nested > .circuit-layer:last-child{\n",
       "    min-width: 10px;\n",
       "}\n",
       ".nested .circuit-layer{\n",
       "    margin-bottom: 0;\n",
       "}\n",
       ".flex_wire{\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Display qubit names at start of circuit */\n",
       ".circuit-layer.qubits{\n",
       "    flex-grow: 0;\n",
       "    color: var(--wire-col);\n",
       "}\n",
       ".qubit{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    padding: 10px;\n",
       "    text-align: center;\n",
       "    font-family: monospace;\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".wire{\n",
       "    height: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0;\n",
       "}\n",
       ".wire.classical{\n",
       "    border-color: var(--c-wire-col) !important;\n",
       "    background: var(--c-wire-col) !important;\n",
       "}\n",
       ".wire.transparent-wire{\n",
       "    border-color: transparent;\n",
       "    background: transparent;\n",
       "}\n",
       "\n",
       "/* Generic base for our gates */\n",
       ".gate_container{\n",
       "    position: relative;\n",
       "    min-width: -moz-fit-content;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".gate_container.nested{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container.nested:after{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container .classical{\n",
       "    background: var(--c-box-col);\n",
       "    border-color: var(--index-col);\n",
       "}\n",
       ".gate{\n",
       "    position: relative;\n",
       "    height: calc(var(--box-height) - 16px);\n",
       "    margin: 0 9px;\n",
       "    padding: 9px 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    border-bottom: none;\n",
       "    border-top: none;\n",
       "    text-align: left;\n",
       "    background: var(--box-col);\n",
       "    display: flex;\n",
       "    box-sizing: content-box;\n",
       "    z-index: 1;\n",
       "}\n",
       ".wire-label{\n",
       "    color: var(--index-col);\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    padding-right: 5px;\n",
       "}\n",
       ".gate_top > .wire-label,\n",
       ".gate_bottom > .wire-label {\n",
       "    padding-top: 0;\n",
       "}\n",
       ".nested-label-layer{\n",
       "    background: var(--box-col);\n",
       "    padding: 0 5px;\n",
       "}\n",
       ".nested-label-layer .wire-label{\n",
       "    padding: 10px 0;\n",
       "}\n",
       "\n",
       "/* Multi-qubit gates */\n",
       ".gate_bottom{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-bottom: 10px;\n",
       "    padding-bottom: 0;\n",
       "    border-bottom: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_top{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-top: 10px;\n",
       "    padding-top: 0;\n",
       "    border-top: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_name{\n",
       "    text-align: center;\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Single qubit gate*/\n",
       ".gate_box{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    margin: 10px;\n",
       "    padding: 0 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "/* Special gates */\n",
       ".gate_connection {\n",
       "    position: absolute;\n",
       "    top: -3px;\n",
       "    left: -1px;\n",
       "    border: none;\n",
       "    margin: calc(var(--box-height)/2) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "}\n",
       ".gate_swap {\n",
       "    height: 20px;\n",
       "    width: 20px;\n",
       "    margin: calc(var(--box-height)/2 - 6px) calc(50% - 9px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M60%200%20L32%2028%20L4%200%20L0%204%20L28%2032%20L0%2060%20L4%2064%20L32%2036%20L60%2064%20L64%2060%20L36%2032%20L64%204%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_measure {\n",
       "    height: 20px;\n",
       "    width: 25px;\n",
       "    margin: calc(var(--box-height)/2 - 10px) calc(50% - 11px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%27-10%20-10%2084%2084%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27white%27%0A%20%20stroke%3D%22black%22%0A%20%20stroke-width%3D%224px%22%0A%3E%0A%20%20%3Cpath%20d%3D%27M63%2C63%20C63%2C32%2048%2C16%2032%2C16%20C16%2C16%201%2C32%201%2C63%20L63%2C63%27%20/%3E%0A%20%20%3Cpath%20d%3D%22M32%2C63%20L56%2C16%22%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_control {\n",
       "    position: absolute;\n",
       "    top: 0;\n",
       "    left: 0;\n",
       "    border-radius: 50%;\n",
       "    width: 6px;\n",
       "    height: 6px;\n",
       "    margin: calc(var(--box-height)/2 - 3px) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    background: var(--box-col);\n",
       "}\n",
       ".gate_control.classical{\n",
       "    background: var(--c-wire-col);\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       ".control_index{\n",
       "    position: absolute;\n",
       "    right: calc(50% - 1em);\n",
       "    top: calc(50% - 1.4em);\n",
       "    color: var(--c-wire-col);\n",
       "    font-size: 0.8em;\n",
       "}\n",
       ".control_index.measure{\n",
       "    right: calc(50% - 1.2em);\n",
       "    top: calc(50% - 1.8em);\n",
       "    color: var(--index-col);\n",
       "}\n",
       ".gate_x {\n",
       "    top: -10px;\n",
       "    left: -6px;\n",
       "    border-radius: 50%;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 20px;\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M36%2064%20L36%2036%20L64%2036%20L64%2028%20L36%2028%20L36%200%20L28%200%20L28%2028%20L0%2028%20L0%2036%20L28%2036%20L28%2064%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-color: var(--box-col);\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_reset{\n",
       "    margin: 11px 10px;\n",
       "    padding: 0 0 0 10px;\n",
       "    border: none !important;\n",
       "    border-left: 2px solid var(--wire-col) !important;\n",
       "    background: transparent;\n",
       "}\n",
       ".gate_reset_spider{\n",
       "    width: calc(var(--box-height) - 24px);\n",
       "    height: calc(var(--box-height) - 24px);\n",
       "    background: var(--box-col);\n",
       "    border: 2px solid var(--wire-col);\n",
       "    border-radius: 50%;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       "\n",
       "/* Add wire sections coming in and out of the gate */\n",
       ".gate_in:before, .gate_in:after{\n",
       "    content: '';\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    top: calc(50% - 1px);\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 9px;\n",
       "    height: 0;\n",
       "    background: var(--wire-col);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".classical.gate_in:before,\n",
       ".classical.gate_in:after{\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       "\n",
       ".gate_in:before{\n",
       "    left: -12px;\n",
       "}\n",
       ".gate_out:after{\n",
       "    right: -12px;\n",
       "}\n",
       ".gate_top.gate_in:before, .gate_top.gate_out:after{\n",
       "    top:calc(50% - 6.5px)\n",
       "}\n",
       ".gate_bottom.gate_in:before, .gate_bottom.gate_out:after{\n",
       "    top:calc(50% + 4.5px)\n",
       "}\n",
       "\n",
       "\n",
       ".link-bottom, .link-top {\n",
       "    height: var(--box-height);\n",
       "    width: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    left: calc(50% - 1px);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".link-top{\n",
       "    top: calc(0px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom{\n",
       "    top: calc(var(--box-height)/2)\n",
       "}\n",
       ".half-link {\n",
       "    height: calc(var(--box-height) - 9px);\n",
       "}\n",
       ".half-link.link-bottom{\n",
       "    top: calc(var(--box-height)/2 + 11px)\n",
       "}\n",
       ".half-link.link-top{\n",
       "    top: calc(-2px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom.measurement{\n",
       "    width: 3px;\n",
       "    left: calc(50% - 0.5px);\n",
       "    border: none;\n",
       "    background: var(--c-wire-col);\n",
       "    height: calc(var(--box-height) + 2px);\n",
       "    z-index: 1;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "/* tool tips */\n",
       ".tool-tip-container{\n",
       "    margin: calc(0px - var(--box-height)) auto 0;\n",
       "    padding-top: var(--box-height);\n",
       "    position: relative;\n",
       "    bottom: 0;\n",
       "    left: 0;\n",
       "    right: 0;\n",
       "    height: 0;\n",
       "    z-index: 4;\n",
       "    width: fit-content;\n",
       "    overflow: hidden;\n",
       "}\n",
       ".tool-tip-container.no-js{\n",
       "    overflow: visible;\n",
       "}\n",
       ".tool-tip-container.no-js:hover{\n",
       "    z-index: 10;\n",
       "}\n",
       ".nested > .tool-tip-container{\n",
       "    position: absolute;\n",
       "    bottom: -10px;\n",
       "}\n",
       ".tool-tip{\n",
       "    visibility: hidden;\n",
       "    opacity: 0;\n",
       "    -webkit-transition: visibility 0.2s, opacity 0.2s;\n",
       "    -moz-transition: visibility 0.2s, opacity 0.2s;\n",
       "    transition: visibility 0.2s, opacity 0.2s;\n",
       "    max-width: 250px;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip{\n",
       "    visibility: visible;\n",
       "    opacity: 1;\n",
       "}\n",
       ".tool-tip-content{\n",
       "    background: var(--main-bg);\n",
       "    margin: 0 auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    max-width: 100%;\n",
       "}\n",
       ".no-js > .tool-tip > .tool-tip-content{\n",
       "    height: auto;\n",
       "    padding: 20px;\n",
       "    margin: 0 auto;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip > .tool-tip-content,\n",
       ".no-js > tool-tip > .tool-tip-content:hover{\n",
       "    box-shadow: 0 -5px 20px 5px var(--faint-col-overlay);\n",
       "}\n",
       ".tool-tip:after{\n",
       "    content: \" \";\n",
       "    position: absolute;\n",
       "    bottom: 0;\n",
       "    left: 50%;\n",
       "    margin-left: -5px;\n",
       "    border-width: 5px;\n",
       "    border-style: solid;\n",
       "    border-color: transparent transparent var(--main-bg) transparent;\n",
       "}\n",
       ".tool-tip .complex-number{\n",
       "    padding: 4px;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested{\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "}\n",
       ".nested-label-layer.as-height{\n",
       "    padding: 0;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested > .nested-circuit-container,\n",
       ".circuit-preview.condensed > .nested-circuit-container{\n",
       "    background: transparent;\n",
       "    border: none;\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "    max-width: unset;\n",
       "}\n",
       "\n",
       "/* Tool-tip modal */\n",
       ".circuit-grid{\n",
       "    display: flex;\n",
       "    flex-direction: row-reverse;\n",
       "    align-items: stretch;\n",
       "    align-content: stretch;\n",
       "}\n",
       ".circuit-grid-circuit{\n",
       "    flex: 1 1 auto;\n",
       "    margin-top: 30px;\n",
       "    overflow: auto;\n",
       "    max-height: inherit;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "/*  FOR DISPLAYING CHARTS  */\n",
       "table{\n",
       "    border-collapse: collapse;\n",
       "}\n",
       ".table-container{\n",
       "    margin: auto;\n",
       "}\n",
       ".bar-chart-container{\n",
       "    min-width: 300px;\n",
       "    width: 60%;\n",
       "}\n",
       ".square-chart-container{\n",
       "    width: auto;\n",
       "    min-width: 0;\n",
       "    overflow: hidden;\n",
       "}\n",
       "\n",
       "/* Make sure we can see the rightmost border */\n",
       ".square-chart-container tbody{\n",
       "    position: relative;\n",
       "    left: -1px;\n",
       "    display: block;\n",
       "}\n",
       "thead > tr{\n",
       "    background: transparent !important;\n",
       "}\n",
       "tr:hover, tr {\n",
       "    background: initial !important;\n",
       "}\n",
       "\n",
       "td, th{\n",
       "    padding: 10px;\n",
       "    position: relative;\n",
       "}\n",
       "\n",
       "/* COMPLEX NUMBERS AND MATRICES */\n",
       ".complex-number{\n",
       "    padding: 10px;\n",
       "}\n",
       ".mid-number{\n",
       "    padding: 5px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".large-number{\n",
       "    padding: 2px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".matrix_container{\n",
       "    border: 2px solid var(--mid-col);\n",
       "    border-top: 0;\n",
       "    border-bottom: 0;\n",
       "    margin: auto !important;\n",
       "    border-collapse: collapse;\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "\n",
       "/* LIST RESULTS NICELY */\n",
       ".list{\n",
       "    flex-wrap: wrap;\n",
       "    justify-content: space-evenly;\n",
       "    align-items: stretch;\n",
       "    padding: 0;\n",
       "}\n",
       ".list > *{\n",
       "    margin: 10px;\n",
       "}\n",
       ".list > .row-sub-heading{\n",
       "    margin: 10px 0;\n",
       "}\n",
       "</style>\n",
       "\n",
       "</head>\n",
       "<body>\n",
       "    <div class=\"row circuit-grid circuit__preview-body\">\n",
       "        <div class=\"circuit-grid-circuit thin-scrollbar\"  style=\"\">\n",
       "            \n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "    <div class=\"circuit-preview circuit_variables condensed\">\n",
       "        \n",
       "            \n",
       "            <div class=\"nested-label-layer as-height\">\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "            </div>\n",
       "            <div class=\"nested-circuit-container\"><div class=\"circuit-inner-scroll\">\n",
       "        \n",
       "        <div class=\"circuit-container nested\">\n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">q[0]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[1]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[2]</div>\n",
       "        \n",
       "        \n",
       "    </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container h\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">H</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container h\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">H</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container h\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">H</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container \">\n",
       "        <div class=\"gate gate_in gate_out \n",
       "                gate_top \">\n",
       "            <span class=\"wire-label\">0</span>\n",
       "            <span class=\"gate_name\"></span>\n",
       "        </div>\n",
       "\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "            \n",
       "                <div class=\"gate_container \">\n",
       "        <div class=\"gate  \n",
       "                 \">\n",
       "            <span class=\"wire-label\"></span>\n",
       "            <span class=\"gate_name\">Unitary2qBox</span>\n",
       "        </div>\n",
       "\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "            \n",
       "                <div class=\"gate_container \">\n",
       "        <div class=\"gate gate_in gate_out \n",
       "                 gate_bottom\">\n",
       "            <span class=\"wire-label\">1</span>\n",
       "            <span class=\"gate_name\"></span>\n",
       "        </div>\n",
       "\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "    \n",
       "    <div class=\"tool-tip-container no-js\"\n",
       "         data-modal-id=\"circuit-modal__1\"\n",
       "         data-gate-id=\"3\" data-name=\"Unitary2qBox\"\n",
       "    >\n",
       "         <div id=\"3__tool-tip-content\" class=\"tool-tip \">\n",
       "             <div class=\"tool-tip-content\">\n",
       "                 <div class=\"row row-sub-heading\">Unitary2qBox</div>\n",
       "\n",
       "             \n",
       "                \n",
       "    <div>\n",
       "    \n",
       "        <h4>Matrix</h4>\n",
       "    \n",
       "    <table class=\"matrix_container\">\n",
       "            \n",
       "            <tr>\n",
       "                \n",
       "                <td class=\"complex-number \n",
       "    \n",
       "\" title=\"| 00 ⟩⟨ 00 |\">\n",
       "                    -0.355 - 0.171i\n",
       "                </td>\n",
       "                \n",
       "                <td class=\"complex-number \n",
       "    \n",
       "\" title=\"| 00 ⟩⟨ 01 |\">\n",
       "                    -0.558 + 0.229i\n",
       "                </td>\n",
       "                \n",
       "                <td class=\"complex-number \n",
       "    \n",
       "\" title=\"| 00 ⟩⟨ 10 |\">\n",
       "                    0.274 - 0.277i\n",
       "                </td>\n",
       "                \n",
       "                <td class=\"complex-number \n",
       "    \n",
       "\" title=\"| 00 ⟩⟨ 11 |\">\n",
       "                    -0.114 - 0.563i\n",
       "                </td>\n",
       "                \n",
       "            </tr>\n",
       "            \n",
       "            <tr>\n",
       "                \n",
       "                <td class=\"complex-number \n",
       "    \n",
       "\" title=\"| 01 ⟩⟨ 00 |\">\n",
       "                    -0.111 - 0.549i\n",
       "                </td>\n",
       "                \n",
       "                <td class=\"complex-number \n",
       "    \n",
       "\" title=\"| 01 ⟩⟨ 01 |\">\n",
       "                    -0.4 + 0.131i\n",
       "                </td>\n",
       "                \n",
       "                <td class=\"complex-number \n",
       "    \n",
       "\" title=\"| 01 ⟩⟨ 10 |\">\n",
       "                    -0.61 + 0.033i\n",
       "                </td>\n",
       "                \n",
       "                <td class=\"complex-number \n",
       "    \n",
       "\" title=\"| 01 ⟩⟨ 11 |\">\n",
       "                    0.013 + 0.37i\n",
       "                </td>\n",
       "                \n",
       "            </tr>\n",
       "            \n",
       "            <tr>\n",
       "                \n",
       "                <td class=\"complex-number \n",
       "    \n",
       "\" title=\"| 10 ⟩⟨ 00 |\">\n",
       "                    -0.166 - 0.001i\n",
       "                </td>\n",
       "                \n",
       "                <td class=\"complex-number \n",
       "    \n",
       "\" title=\"| 10 ⟩⟨ 01 |\">\n",
       "                    0.365 - 0.131i\n",
       "                </td>\n",
       "                \n",
       "                <td class=\"complex-number \n",
       "    \n",
       "\" title=\"| 10 ⟩⟨ 10 |\">\n",
       "                    -0.533 - 0.378i\n",
       "                </td>\n",
       "                \n",
       "                <td class=\"complex-number \n",
       "    \n",
       "\" title=\"| 10 ⟩⟨ 11 |\">\n",
       "                    0.419 - 0.469i\n",
       "                </td>\n",
       "                \n",
       "            </tr>\n",
       "            \n",
       "            <tr>\n",
       "                \n",
       "                <td class=\"complex-number \n",
       "    \n",
       "\" title=\"| 11 ⟩⟨ 00 |\">\n",
       "                    -0.555 + 0.442i\n",
       "                </td>\n",
       "                \n",
       "                <td class=\"complex-number \n",
       "    \n",
       "\" title=\"| 11 ⟩⟨ 01 |\">\n",
       "                    -0.262 - 0.491i\n",
       "                </td>\n",
       "                \n",
       "                <td class=\"complex-number \n",
       "    \n",
       "\" title=\"| 11 ⟩⟨ 10 |\">\n",
       "                    -0.018 - 0.222i\n",
       "                </td>\n",
       "                \n",
       "                <td class=\"complex-number \n",
       "    \n",
       "\" title=\"| 11 ⟩⟨ 11 |\">\n",
       "                    0.046 + 0.368i\n",
       "                </td>\n",
       "                \n",
       "            </tr>\n",
       "            \n",
       "    </table>\n",
       "</div>\n",
       "\n",
       "\n",
       "             \n",
       "\n",
       "             \n",
       "\n",
       "            </div>\n",
       "         </div>\n",
       "    </div>\n",
       "    \n",
       "            \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">q[0]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[1]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[2]</div>\n",
       "        \n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        \n",
       "            </div></div>\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "\n",
       "\n",
       "        </div>\n",
       "    </div>\n",
       "</body>\n",
       "</html>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "circ = Circuit(3).H(0).H(1).H(2)\n",
    "circ.add_unitary2qbox(two_q_box, qubit_0=0, qubit_1=2)\n",
    "\n",
    "render_circuit_jupyter(circ)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "human-gardening",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "<!DOCTYPE html>\n",
       "<html lang=\"en\">\n",
       "<head>\n",
       "    <meta charset=\"UTF-8\">\n",
       "    \n",
       "<style>\n",
       "body, .circuit__preview-body {\n",
       "    font-family: \"roboto\", system-ui, sans-serif;\n",
       "    --accent-col: green;\n",
       "    --accent-col-fill: darkseagreen;\n",
       "    --accent-col-alt: #aca;\n",
       "    --accent-col-emph: limegreen;\n",
       "    --accent-col-overlay: rgba(130,255,140,0.2);\n",
       "    --accent-col-outline: rgba(30, 250, 30,0.2);\n",
       "    --main-col: black;\n",
       "    --mid-col: #bbb;\n",
       "    --faint-col: #eee;\n",
       "    --faint-col-overlay: rgba(0, 0, 0, 0.05);\n",
       "    --main-bg: white;\n",
       "}\n",
       "\n",
       ".row{\n",
       "    display: flex;\n",
       "    flex-wrap: wrap;\n",
       "    align-items: center;\n",
       "    padding: 10px;\n",
       "    border-bottom: 1px solid var(--faint-col);\n",
       "    position: relative;\n",
       "}\n",
       ".row-item{\n",
       "    flex-grow: 1\n",
       "}\n",
       ".row-item-l{\n",
       "    text-align: left;\n",
       "}\n",
       ".row-item-r{\n",
       "    text-align: right;\n",
       "}\n",
       ".row-sub-heading{\n",
       "    border-color: var(--accent-col-emph);\n",
       "}\n",
       "\n",
       "/* FOR DISPLAYING CIRCUITS */\n",
       "/* Main preview container */\n",
       ".circuit-preview {\n",
       "    width: 100%;\n",
       "    height: 100%;\n",
       "    text-align: center;\n",
       "    color: black;\n",
       "}\n",
       ".circuit_variables {\n",
       "    /* Define some variables */\n",
       "    --box-height: 40px;\n",
       "    --wire-col: black;\n",
       "    --c-wire-col: #bbb;\n",
       "    --box-col: #ccc;\n",
       "    --box-col-overlay: rgba(0,0,0,0.05);\n",
       "    --c-box-col: #ddd;\n",
       "    --index-col: #888;\n",
       "}\n",
       ".circuit-preview.condensed{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       "\n",
       "/* Box colours */\n",
       ".h {\n",
       "    --box-col: #ffee00;\n",
       "    --box-col-overlay: rgba(255, 255, 0, 0.2);\n",
       "    --c-box-col: #ffee88;\n",
       "    --index-col: #ffcc00;\n",
       "}\n",
       ".x {\n",
       "    --box-col: #ff8888;\n",
       "    --box-col-overlay: rgba(255, 0, 0, 0.2);\n",
       "    --c-box-col: #e8a6a6;\n",
       "    --index-col: red;\n",
       "}\n",
       ".y {\n",
       "    --box-col: #6699ff;\n",
       "    --box-col-overlay: rgba(0, 0, 255, 0.2);\n",
       "    --c-box-col: #86c6f6;\n",
       "    --index-col: blue;\n",
       "}\n",
       ".z {\n",
       "    --box-col: #ccffcc;\n",
       "    --box-col-overlay: rgba(0, 255, 0, 0.2);\n",
       "    --c-box-col: #e2ffe2;\n",
       "    --index-col: green;\n",
       "}\n",
       "\n",
       ".circuit-container{\n",
       "    max-width: 100%;\n",
       "    display: flex;\n",
       "    flex-flow: row wrap;\n",
       "    justify-content: center;\n",
       "    align-content: flex-start;\n",
       "    margin: auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    background: rgba(255, 255, 255, 1);\n",
       "}\n",
       ".circuit-preview.condensed > .circuit-container{\n",
       "    flex-wrap: nowrap;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".circuit-container.nested{\n",
       "    position: relative;\n",
       "    flex-wrap: nowrap;\n",
       "    margin: -2px 0;\n",
       "}\n",
       ".nested-circuit-container{\n",
       "    display: flex;\n",
       "    overflow: auto;\n",
       "    max-width: 400px;\n",
       "    background: var(--box-col-overlay);\n",
       "    border: 1px solid var(--box-col);\n",
       "}\n",
       ".nested-circuit-container::-webkit-scrollbar {\n",
       "    height: 0;\n",
       "    width: 0;\n",
       "}\n",
       ".circuit-inner-scroll{\n",
       "    overflow: visible;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    margin: auto;\n",
       "    margin-top: 2px;\n",
       "}\n",
       ".circuit-end{\n",
       "    width: 2px;\n",
       "    height: auto;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0 calc(var(--box-height)/2 + 20px);\n",
       "}\n",
       ".circuit-layer{\n",
       "    min-width: 40px;\n",
       "    width: max-content;\n",
       "    display: flex;\n",
       "    flex-flow: column nowrap;\n",
       "    flex-grow: 1;\n",
       "    justify-content: space-between;\n",
       "    align-items: stretch;\n",
       "    margin-bottom: 20px;\n",
       "}\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-child(2),\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-last-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-last-child(2),\n",
       ".gate_container.nested > .circuit-layer:first-child,\n",
       ".gate_container.nested > .circuit-layer:last-child{\n",
       "    min-width: 10px;\n",
       "}\n",
       ".nested .circuit-layer{\n",
       "    margin-bottom: 0;\n",
       "}\n",
       ".flex_wire{\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Display qubit names at start of circuit */\n",
       ".circuit-layer.qubits{\n",
       "    flex-grow: 0;\n",
       "    color: var(--wire-col);\n",
       "}\n",
       ".qubit{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    padding: 10px;\n",
       "    text-align: center;\n",
       "    font-family: monospace;\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".wire{\n",
       "    height: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0;\n",
       "}\n",
       ".wire.classical{\n",
       "    border-color: var(--c-wire-col) !important;\n",
       "    background: var(--c-wire-col) !important;\n",
       "}\n",
       ".wire.transparent-wire{\n",
       "    border-color: transparent;\n",
       "    background: transparent;\n",
       "}\n",
       "\n",
       "/* Generic base for our gates */\n",
       ".gate_container{\n",
       "    position: relative;\n",
       "    min-width: -moz-fit-content;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".gate_container.nested{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container.nested:after{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container .classical{\n",
       "    background: var(--c-box-col);\n",
       "    border-color: var(--index-col);\n",
       "}\n",
       ".gate{\n",
       "    position: relative;\n",
       "    height: calc(var(--box-height) - 16px);\n",
       "    margin: 0 9px;\n",
       "    padding: 9px 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    border-bottom: none;\n",
       "    border-top: none;\n",
       "    text-align: left;\n",
       "    background: var(--box-col);\n",
       "    display: flex;\n",
       "    box-sizing: content-box;\n",
       "    z-index: 1;\n",
       "}\n",
       ".wire-label{\n",
       "    color: var(--index-col);\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    padding-right: 5px;\n",
       "}\n",
       ".gate_top > .wire-label,\n",
       ".gate_bottom > .wire-label {\n",
       "    padding-top: 0;\n",
       "}\n",
       ".nested-label-layer{\n",
       "    background: var(--box-col);\n",
       "    padding: 0 5px;\n",
       "}\n",
       ".nested-label-layer .wire-label{\n",
       "    padding: 10px 0;\n",
       "}\n",
       "\n",
       "/* Multi-qubit gates */\n",
       ".gate_bottom{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-bottom: 10px;\n",
       "    padding-bottom: 0;\n",
       "    border-bottom: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_top{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-top: 10px;\n",
       "    padding-top: 0;\n",
       "    border-top: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_name{\n",
       "    text-align: center;\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Single qubit gate*/\n",
       ".gate_box{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    margin: 10px;\n",
       "    padding: 0 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "/* Special gates */\n",
       ".gate_connection {\n",
       "    position: absolute;\n",
       "    top: -3px;\n",
       "    left: -1px;\n",
       "    border: none;\n",
       "    margin: calc(var(--box-height)/2) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "}\n",
       ".gate_swap {\n",
       "    height: 20px;\n",
       "    width: 20px;\n",
       "    margin: calc(var(--box-height)/2 - 6px) calc(50% - 9px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M60%200%20L32%2028%20L4%200%20L0%204%20L28%2032%20L0%2060%20L4%2064%20L32%2036%20L60%2064%20L64%2060%20L36%2032%20L64%204%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_measure {\n",
       "    height: 20px;\n",
       "    width: 25px;\n",
       "    margin: calc(var(--box-height)/2 - 10px) calc(50% - 11px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%27-10%20-10%2084%2084%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27white%27%0A%20%20stroke%3D%22black%22%0A%20%20stroke-width%3D%224px%22%0A%3E%0A%20%20%3Cpath%20d%3D%27M63%2C63%20C63%2C32%2048%2C16%2032%2C16%20C16%2C16%201%2C32%201%2C63%20L63%2C63%27%20/%3E%0A%20%20%3Cpath%20d%3D%22M32%2C63%20L56%2C16%22%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_control {\n",
       "    position: absolute;\n",
       "    top: 0;\n",
       "    left: 0;\n",
       "    border-radius: 50%;\n",
       "    width: 6px;\n",
       "    height: 6px;\n",
       "    margin: calc(var(--box-height)/2 - 3px) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    background: var(--box-col);\n",
       "}\n",
       ".gate_control.classical{\n",
       "    background: var(--c-wire-col);\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       ".control_index{\n",
       "    position: absolute;\n",
       "    right: calc(50% - 1em);\n",
       "    top: calc(50% - 1.4em);\n",
       "    color: var(--c-wire-col);\n",
       "    font-size: 0.8em;\n",
       "}\n",
       ".control_index.measure{\n",
       "    right: calc(50% - 1.2em);\n",
       "    top: calc(50% - 1.8em);\n",
       "    color: var(--index-col);\n",
       "}\n",
       ".gate_x {\n",
       "    top: -10px;\n",
       "    left: -6px;\n",
       "    border-radius: 50%;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 20px;\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M36%2064%20L36%2036%20L64%2036%20L64%2028%20L36%2028%20L36%200%20L28%200%20L28%2028%20L0%2028%20L0%2036%20L28%2036%20L28%2064%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-color: var(--box-col);\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_reset{\n",
       "    margin: 11px 10px;\n",
       "    padding: 0 0 0 10px;\n",
       "    border: none !important;\n",
       "    border-left: 2px solid var(--wire-col) !important;\n",
       "    background: transparent;\n",
       "}\n",
       ".gate_reset_spider{\n",
       "    width: calc(var(--box-height) - 24px);\n",
       "    height: calc(var(--box-height) - 24px);\n",
       "    background: var(--box-col);\n",
       "    border: 2px solid var(--wire-col);\n",
       "    border-radius: 50%;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       "\n",
       "/* Add wire sections coming in and out of the gate */\n",
       ".gate_in:before, .gate_in:after{\n",
       "    content: '';\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    top: calc(50% - 1px);\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 9px;\n",
       "    height: 0;\n",
       "    background: var(--wire-col);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".classical.gate_in:before,\n",
       ".classical.gate_in:after{\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       "\n",
       ".gate_in:before{\n",
       "    left: -12px;\n",
       "}\n",
       ".gate_out:after{\n",
       "    right: -12px;\n",
       "}\n",
       ".gate_top.gate_in:before, .gate_top.gate_out:after{\n",
       "    top:calc(50% - 6.5px)\n",
       "}\n",
       ".gate_bottom.gate_in:before, .gate_bottom.gate_out:after{\n",
       "    top:calc(50% + 4.5px)\n",
       "}\n",
       "\n",
       "\n",
       ".link-bottom, .link-top {\n",
       "    height: var(--box-height);\n",
       "    width: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    left: calc(50% - 1px);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".link-top{\n",
       "    top: calc(0px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom{\n",
       "    top: calc(var(--box-height)/2)\n",
       "}\n",
       ".half-link {\n",
       "    height: calc(var(--box-height) - 9px);\n",
       "}\n",
       ".half-link.link-bottom{\n",
       "    top: calc(var(--box-height)/2 + 11px)\n",
       "}\n",
       ".half-link.link-top{\n",
       "    top: calc(-2px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom.measurement{\n",
       "    width: 3px;\n",
       "    left: calc(50% - 0.5px);\n",
       "    border: none;\n",
       "    background: var(--c-wire-col);\n",
       "    height: calc(var(--box-height) + 2px);\n",
       "    z-index: 1;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "/* tool tips */\n",
       ".tool-tip-container{\n",
       "    margin: calc(0px - var(--box-height)) auto 0;\n",
       "    padding-top: var(--box-height);\n",
       "    position: relative;\n",
       "    bottom: 0;\n",
       "    left: 0;\n",
       "    right: 0;\n",
       "    height: 0;\n",
       "    z-index: 4;\n",
       "    width: fit-content;\n",
       "    overflow: hidden;\n",
       "}\n",
       ".tool-tip-container.no-js{\n",
       "    overflow: visible;\n",
       "}\n",
       ".tool-tip-container.no-js:hover{\n",
       "    z-index: 10;\n",
       "}\n",
       ".nested > .tool-tip-container{\n",
       "    position: absolute;\n",
       "    bottom: -10px;\n",
       "}\n",
       ".tool-tip{\n",
       "    visibility: hidden;\n",
       "    opacity: 0;\n",
       "    -webkit-transition: visibility 0.2s, opacity 0.2s;\n",
       "    -moz-transition: visibility 0.2s, opacity 0.2s;\n",
       "    transition: visibility 0.2s, opacity 0.2s;\n",
       "    max-width: 250px;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip{\n",
       "    visibility: visible;\n",
       "    opacity: 1;\n",
       "}\n",
       ".tool-tip-content{\n",
       "    background: var(--main-bg);\n",
       "    margin: 0 auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    max-width: 100%;\n",
       "}\n",
       ".no-js > .tool-tip > .tool-tip-content{\n",
       "    height: auto;\n",
       "    padding: 20px;\n",
       "    margin: 0 auto;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip > .tool-tip-content,\n",
       ".no-js > tool-tip > .tool-tip-content:hover{\n",
       "    box-shadow: 0 -5px 20px 5px var(--faint-col-overlay);\n",
       "}\n",
       ".tool-tip:after{\n",
       "    content: \" \";\n",
       "    position: absolute;\n",
       "    bottom: 0;\n",
       "    left: 50%;\n",
       "    margin-left: -5px;\n",
       "    border-width: 5px;\n",
       "    border-style: solid;\n",
       "    border-color: transparent transparent var(--main-bg) transparent;\n",
       "}\n",
       ".tool-tip .complex-number{\n",
       "    padding: 4px;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested{\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "}\n",
       ".nested-label-layer.as-height{\n",
       "    padding: 0;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested > .nested-circuit-container,\n",
       ".circuit-preview.condensed > .nested-circuit-container{\n",
       "    background: transparent;\n",
       "    border: none;\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "    max-width: unset;\n",
       "}\n",
       "\n",
       "/* Tool-tip modal */\n",
       ".circuit-grid{\n",
       "    display: flex;\n",
       "    flex-direction: row-reverse;\n",
       "    align-items: stretch;\n",
       "    align-content: stretch;\n",
       "}\n",
       ".circuit-grid-circuit{\n",
       "    flex: 1 1 auto;\n",
       "    margin-top: 30px;\n",
       "    overflow: auto;\n",
       "    max-height: inherit;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "/*  FOR DISPLAYING CHARTS  */\n",
       "table{\n",
       "    border-collapse: collapse;\n",
       "}\n",
       ".table-container{\n",
       "    margin: auto;\n",
       "}\n",
       ".bar-chart-container{\n",
       "    min-width: 300px;\n",
       "    width: 60%;\n",
       "}\n",
       ".square-chart-container{\n",
       "    width: auto;\n",
       "    min-width: 0;\n",
       "    overflow: hidden;\n",
       "}\n",
       "\n",
       "/* Make sure we can see the rightmost border */\n",
       ".square-chart-container tbody{\n",
       "    position: relative;\n",
       "    left: -1px;\n",
       "    display: block;\n",
       "}\n",
       "thead > tr{\n",
       "    background: transparent !important;\n",
       "}\n",
       "tr:hover, tr {\n",
       "    background: initial !important;\n",
       "}\n",
       "\n",
       "td, th{\n",
       "    padding: 10px;\n",
       "    position: relative;\n",
       "}\n",
       "\n",
       "/* COMPLEX NUMBERS AND MATRICES */\n",
       ".complex-number{\n",
       "    padding: 10px;\n",
       "}\n",
       ".mid-number{\n",
       "    padding: 5px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".large-number{\n",
       "    padding: 2px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".matrix_container{\n",
       "    border: 2px solid var(--mid-col);\n",
       "    border-top: 0;\n",
       "    border-bottom: 0;\n",
       "    margin: auto !important;\n",
       "    border-collapse: collapse;\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "\n",
       "/* LIST RESULTS NICELY */\n",
       ".list{\n",
       "    flex-wrap: wrap;\n",
       "    justify-content: space-evenly;\n",
       "    align-items: stretch;\n",
       "    padding: 0;\n",
       "}\n",
       ".list > *{\n",
       "    margin: 10px;\n",
       "}\n",
       ".list > .row-sub-heading{\n",
       "    margin: 10px 0;\n",
       "}\n",
       "</style>\n",
       "\n",
       "</head>\n",
       "<body>\n",
       "    <div class=\"row circuit-grid circuit__preview-body\">\n",
       "        <div class=\"circuit-grid-circuit thin-scrollbar\"  style=\"\">\n",
       "            \n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "    <div class=\"circuit-preview circuit_variables condensed\">\n",
       "        \n",
       "            \n",
       "            <div class=\"nested-label-layer as-height\">\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "            </div>\n",
       "            <div class=\"nested-circuit-container\"><div class=\"circuit-inner-scroll\">\n",
       "        \n",
       "        <div class=\"circuit-container nested\">\n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">q[0]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[1]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[2]</div>\n",
       "        \n",
       "        \n",
       "    </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container h\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">H</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container h\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">H</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container h\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">H</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(3.569552055962663)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container \">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">TK1(0.4877882831746053, 0.8449527858654735, 3.641080336745342)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
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       "    \n",
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       "    \n",
       "\n",
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       "                    \n",
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       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container \">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">TK1(3.677529553227729, 0.5537748357255957, 2.6260673822595244)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
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       "\n",
       "    \n",
       "    \n",
       "\n",
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       "            \n",
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       "                \n",
       "                    \n",
       "                    \n",
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       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
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       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
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       "                        \n",
       "                            \n",
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       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
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       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
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       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
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       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
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       "                \n",
       "                    \n",
       "                    \n",
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       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
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       "\n",
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       "    \n",
       "\n",
       "                    \n",
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       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container \">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">TK1(3.5, 0.4433940884984982, 1.0)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
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       "                    \n",
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       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container \">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">TK1(1.0, 0.5, 0.3555702951175587)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
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       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
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       "                    \n",
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       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
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       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container \">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">TK1(0.6595356543919868, 0.3052181582460569, 3.56116762629961)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
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       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container \">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">TK1(3.5968935864422016, 0.21200642421904026, 0.288600703784643)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
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       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
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       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "                    <div class=\"link-top\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
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       "    \n",
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       "                        \n",
       "    \n",
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       "            <div class=\"gate_container\">\n",
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       "        \n",
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       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
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       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(0.39041188391973025)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
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       "        \n",
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       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
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       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        <div class=\"gate_container\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "            <div class=\"gate gate_connection \"></div>\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "                    <div class=\"link-top\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(0.0940187008138696)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "                    <div class=\"link-top\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(0.04288753123095487)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container \">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">TK1(1.229571268250548, 0.714499868100142, 0.18567076241764718)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        <div class=\"gate_container\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "            <div class=\"gate gate_connection \"></div>\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "                    <div class=\"link-top\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container y\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Ry(0.5355912253905077)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container \">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">TK1(0.16942644528200634, 0.6248802274756106, 0.4106131047420117)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container h\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">H</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container \">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">TK1(3.5, 0.3465888479645466, 1.0)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container \">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">TK1(1.0, 0.5, 0.23492652091796457)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container \">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">TK1(1.2738363345447667, 0.4618587123853911, 0.18509514875274727)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container \">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">TK1(0.607825536867978, 0.37392178250540326, 3.022244130802614)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
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       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "                    <div class=\"link-top\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container y\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Ry(3.7561257968295014)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
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       "        \n",
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       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        <div class=\"gate_container\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "            <div class=\"gate gate_connection \"></div>\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "                    <div class=\"link-top\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container y\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Ry(0.01490411200435126)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container \">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">TK1(0.7106578463656684, 0.64692879483436, 0.9585230133067273)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "                    <div class=\"link-top\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container h\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">H</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container \">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">TK1(3.5335435047843125, 0.5453515906978375, 3.892189058294347)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container y\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Ry(0.14234492278147104)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(0.05119727428027826)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container \">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">TK1(3.5, 0.40792428181158225, 1.0)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container \">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">TK1(1.0, 0.5, 0.22693862133221246)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container \">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">TK1(3.8588851134912434, 0.49560274106682795, 3.651573977764318)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container \">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">TK1(3.235623249170383, 0.5572413749086447, 3.602581265538483)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "                    <div class=\"link-top\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(3.707171430573509)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        <div class=\"gate_container\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "            <div class=\"gate gate_connection \"></div>\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "                    <div class=\"link-top\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(0.017817465110774866)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "                    <div class=\"link-top\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(3.496886166182086)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
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       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container \">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">TK1(1.3156357941694514, 0.6735234759546628, 0.2539804684854391)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
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       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        <div class=\"gate_container\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "            <div class=\"gate gate_connection \"></div>\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "                    <div class=\"link-top\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
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       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container \">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">TK1(3.5354967173853877, 0.7216113042571116, 3.267337237385051)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
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       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container \">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">TK1(0.4735804124850979, 0.5, 3.5)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container \">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">TK1(3.86109488311035, 0.0, 0.0)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container \">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">TK1(0.5, 0.5, 0.5)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container \">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">TK1(3.775153029986588, 0.0, 0.0)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
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       "\n",
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       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
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       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
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       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">TK1(0.3989041081877805, 0.6173471695428043, 0.7923735353188467)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
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       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
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       "\n",
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       "                        \n",
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       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
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       "        </div>\n",
       "        <div class=\"gate_container \">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">TK1(1.3291205593257918, 0.3859830519901069, 0.1503264571906937)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
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       "    </div>\n",
       "\n",
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       "\n",
       "                    \n",
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       "\n",
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       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">q[0]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[1]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[2]</div>\n",
       "        \n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        \n",
       "            </div></div>\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "\n",
       "\n",
       "        </div>\n",
       "    </div>\n",
       "</body>\n",
       "</html>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pytket.circuit import Unitary3qBox\n",
    "\n",
    "circ = Circuit(3).H(0).H(1).H(2)\n",
    "\n",
    "x = unitary_group.rvs(8)\n",
    "unitary_circ = Unitary3qBox(x).get_circuit()\n",
    "circ.add_circuit(unitary_circ, circ.qubits)\n",
    "\n",
    "render_circuit_jupyter(circ)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "impressed-suffering",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Measurement\n",
    "\n",
    "Measurements produce classical data from the resulting state. \n",
    "- All measurements are single-qubit measurements in the \\\\( \\mathsf{Z} \\\\) basis.\n",
    "- Other forms of measurements can be constructed by combining these with other operations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "successful-contrast",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def plot_state_probs(state):\n",
    "    state_dict = {'State':[i for i in range(len(result_state))], 'Probability':abs(state)**2}\n",
    "    state_df = pd.DataFrame(state_dict)\n",
    "    sns.catplot(x='State', y='Probability', kind='bar', data=state_df, aspect = 3, height=2)\n",
    "    plt.show()\n",
    "    \n",
    "def plot_counts(counts):\n",
    "    counts_record = [{\"State\":state, \"Count\":count} for state, count in counts.items()]\n",
    "    count_df = pd.DataFrame().from_records(counts_record)\n",
    "    sns.catplot(x='State', y='Count', kind='bar', data=count_df, aspect = 3, height=2)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "southeast-spouse",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
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       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "<!DOCTYPE html>\n",
       "<html lang=\"en\">\n",
       "<head>\n",
       "    <meta charset=\"UTF-8\">\n",
       "    \n",
       "<style>\n",
       "body, .circuit__preview-body {\n",
       "    font-family: \"roboto\", system-ui, sans-serif;\n",
       "    --accent-col: green;\n",
       "    --accent-col-fill: darkseagreen;\n",
       "    --accent-col-alt: #aca;\n",
       "    --accent-col-emph: limegreen;\n",
       "    --accent-col-overlay: rgba(130,255,140,0.2);\n",
       "    --accent-col-outline: rgba(30, 250, 30,0.2);\n",
       "    --main-col: black;\n",
       "    --mid-col: #bbb;\n",
       "    --faint-col: #eee;\n",
       "    --faint-col-overlay: rgba(0, 0, 0, 0.05);\n",
       "    --main-bg: white;\n",
       "}\n",
       "\n",
       ".row{\n",
       "    display: flex;\n",
       "    flex-wrap: wrap;\n",
       "    align-items: center;\n",
       "    padding: 10px;\n",
       "    border-bottom: 1px solid var(--faint-col);\n",
       "    position: relative;\n",
       "}\n",
       ".row-item{\n",
       "    flex-grow: 1\n",
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       ".row-item-l{\n",
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       ".row-sub-heading{\n",
       "    border-color: var(--accent-col-emph);\n",
       "}\n",
       "\n",
       "/* FOR DISPLAYING CIRCUITS */\n",
       "/* Main preview container */\n",
       ".circuit-preview {\n",
       "    width: 100%;\n",
       "    height: 100%;\n",
       "    text-align: center;\n",
       "    color: black;\n",
       "}\n",
       ".circuit_variables {\n",
       "    /* Define some variables */\n",
       "    --box-height: 40px;\n",
       "    --wire-col: black;\n",
       "    --c-wire-col: #bbb;\n",
       "    --box-col: #ccc;\n",
       "    --box-col-overlay: rgba(0,0,0,0.05);\n",
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       "\n",
       "/* Box colours */\n",
       ".h {\n",
       "    --box-col: #ffee00;\n",
       "    --box-col-overlay: rgba(255, 255, 0, 0.2);\n",
       "    --c-box-col: #ffee88;\n",
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       ".x {\n",
       "    --box-col: #ff8888;\n",
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       ".z {\n",
       "    --box-col: #ccffcc;\n",
       "    --box-col-overlay: rgba(0, 255, 0, 0.2);\n",
       "    --c-box-col: #e2ffe2;\n",
       "    --index-col: green;\n",
       "}\n",
       "\n",
       ".circuit-container{\n",
       "    max-width: 100%;\n",
       "    display: flex;\n",
       "    flex-flow: row wrap;\n",
       "    justify-content: center;\n",
       "    align-content: flex-start;\n",
       "    margin: auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    background: rgba(255, 255, 255, 1);\n",
       "}\n",
       ".circuit-preview.condensed > .circuit-container{\n",
       "    flex-wrap: nowrap;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".circuit-container.nested{\n",
       "    position: relative;\n",
       "    flex-wrap: nowrap;\n",
       "    margin: -2px 0;\n",
       "}\n",
       ".nested-circuit-container{\n",
       "    display: flex;\n",
       "    overflow: auto;\n",
       "    max-width: 400px;\n",
       "    background: var(--box-col-overlay);\n",
       "    border: 1px solid var(--box-col);\n",
       "}\n",
       ".nested-circuit-container::-webkit-scrollbar {\n",
       "    height: 0;\n",
       "    width: 0;\n",
       "}\n",
       ".circuit-inner-scroll{\n",
       "    overflow: visible;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    margin: auto;\n",
       "    margin-top: 2px;\n",
       "}\n",
       ".circuit-end{\n",
       "    width: 2px;\n",
       "    height: auto;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0 calc(var(--box-height)/2 + 20px);\n",
       "}\n",
       ".circuit-layer{\n",
       "    min-width: 40px;\n",
       "    width: max-content;\n",
       "    display: flex;\n",
       "    flex-flow: column nowrap;\n",
       "    flex-grow: 1;\n",
       "    justify-content: space-between;\n",
       "    align-items: stretch;\n",
       "    margin-bottom: 20px;\n",
       "}\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-child(2),\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-last-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-last-child(2),\n",
       ".gate_container.nested > .circuit-layer:first-child,\n",
       ".gate_container.nested > .circuit-layer:last-child{\n",
       "    min-width: 10px;\n",
       "}\n",
       ".nested .circuit-layer{\n",
       "    margin-bottom: 0;\n",
       "}\n",
       ".flex_wire{\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Display qubit names at start of circuit */\n",
       ".circuit-layer.qubits{\n",
       "    flex-grow: 0;\n",
       "    color: var(--wire-col);\n",
       "}\n",
       ".qubit{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    padding: 10px;\n",
       "    text-align: center;\n",
       "    font-family: monospace;\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".wire{\n",
       "    height: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0;\n",
       "}\n",
       ".wire.classical{\n",
       "    border-color: var(--c-wire-col) !important;\n",
       "    background: var(--c-wire-col) !important;\n",
       "}\n",
       ".wire.transparent-wire{\n",
       "    border-color: transparent;\n",
       "    background: transparent;\n",
       "}\n",
       "\n",
       "/* Generic base for our gates */\n",
       ".gate_container{\n",
       "    position: relative;\n",
       "    min-width: -moz-fit-content;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".gate_container.nested{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container.nested:after{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container .classical{\n",
       "    background: var(--c-box-col);\n",
       "    border-color: var(--index-col);\n",
       "}\n",
       ".gate{\n",
       "    position: relative;\n",
       "    height: calc(var(--box-height) - 16px);\n",
       "    margin: 0 9px;\n",
       "    padding: 9px 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    border-bottom: none;\n",
       "    border-top: none;\n",
       "    text-align: left;\n",
       "    background: var(--box-col);\n",
       "    display: flex;\n",
       "    box-sizing: content-box;\n",
       "    z-index: 1;\n",
       "}\n",
       ".wire-label{\n",
       "    color: var(--index-col);\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    padding-right: 5px;\n",
       "}\n",
       ".gate_top > .wire-label,\n",
       ".gate_bottom > .wire-label {\n",
       "    padding-top: 0;\n",
       "}\n",
       ".nested-label-layer{\n",
       "    background: var(--box-col);\n",
       "    padding: 0 5px;\n",
       "}\n",
       ".nested-label-layer .wire-label{\n",
       "    padding: 10px 0;\n",
       "}\n",
       "\n",
       "/* Multi-qubit gates */\n",
       ".gate_bottom{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-bottom: 10px;\n",
       "    padding-bottom: 0;\n",
       "    border-bottom: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_top{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-top: 10px;\n",
       "    padding-top: 0;\n",
       "    border-top: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_name{\n",
       "    text-align: center;\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Single qubit gate*/\n",
       ".gate_box{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    margin: 10px;\n",
       "    padding: 0 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "/* Special gates */\n",
       ".gate_connection {\n",
       "    position: absolute;\n",
       "    top: -3px;\n",
       "    left: -1px;\n",
       "    border: none;\n",
       "    margin: calc(var(--box-height)/2) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "}\n",
       ".gate_swap {\n",
       "    height: 20px;\n",
       "    width: 20px;\n",
       "    margin: calc(var(--box-height)/2 - 6px) calc(50% - 9px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M60%200%20L32%2028%20L4%200%20L0%204%20L28%2032%20L0%2060%20L4%2064%20L32%2036%20L60%2064%20L64%2060%20L36%2032%20L64%204%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_measure {\n",
       "    height: 20px;\n",
       "    width: 25px;\n",
       "    margin: calc(var(--box-height)/2 - 10px) calc(50% - 11px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%27-10%20-10%2084%2084%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27white%27%0A%20%20stroke%3D%22black%22%0A%20%20stroke-width%3D%224px%22%0A%3E%0A%20%20%3Cpath%20d%3D%27M63%2C63%20C63%2C32%2048%2C16%2032%2C16%20C16%2C16%201%2C32%201%2C63%20L63%2C63%27%20/%3E%0A%20%20%3Cpath%20d%3D%22M32%2C63%20L56%2C16%22%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_control {\n",
       "    position: absolute;\n",
       "    top: 0;\n",
       "    left: 0;\n",
       "    border-radius: 50%;\n",
       "    width: 6px;\n",
       "    height: 6px;\n",
       "    margin: calc(var(--box-height)/2 - 3px) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    background: var(--box-col);\n",
       "}\n",
       ".gate_control.classical{\n",
       "    background: var(--c-wire-col);\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       ".control_index{\n",
       "    position: absolute;\n",
       "    right: calc(50% - 1em);\n",
       "    top: calc(50% - 1.4em);\n",
       "    color: var(--c-wire-col);\n",
       "    font-size: 0.8em;\n",
       "}\n",
       ".control_index.measure{\n",
       "    right: calc(50% - 1.2em);\n",
       "    top: calc(50% - 1.8em);\n",
       "    color: var(--index-col);\n",
       "}\n",
       ".gate_x {\n",
       "    top: -10px;\n",
       "    left: -6px;\n",
       "    border-radius: 50%;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 20px;\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M36%2064%20L36%2036%20L64%2036%20L64%2028%20L36%2028%20L36%200%20L28%200%20L28%2028%20L0%2028%20L0%2036%20L28%2036%20L28%2064%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-color: var(--box-col);\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_reset{\n",
       "    margin: 11px 10px;\n",
       "    padding: 0 0 0 10px;\n",
       "    border: none !important;\n",
       "    border-left: 2px solid var(--wire-col) !important;\n",
       "    background: transparent;\n",
       "}\n",
       ".gate_reset_spider{\n",
       "    width: calc(var(--box-height) - 24px);\n",
       "    height: calc(var(--box-height) - 24px);\n",
       "    background: var(--box-col);\n",
       "    border: 2px solid var(--wire-col);\n",
       "    border-radius: 50%;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       "\n",
       "/* Add wire sections coming in and out of the gate */\n",
       ".gate_in:before, .gate_in:after{\n",
       "    content: '';\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    top: calc(50% - 1px);\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 9px;\n",
       "    height: 0;\n",
       "    background: var(--wire-col);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".classical.gate_in:before,\n",
       ".classical.gate_in:after{\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       "\n",
       ".gate_in:before{\n",
       "    left: -12px;\n",
       "}\n",
       ".gate_out:after{\n",
       "    right: -12px;\n",
       "}\n",
       ".gate_top.gate_in:before, .gate_top.gate_out:after{\n",
       "    top:calc(50% - 6.5px)\n",
       "}\n",
       ".gate_bottom.gate_in:before, .gate_bottom.gate_out:after{\n",
       "    top:calc(50% + 4.5px)\n",
       "}\n",
       "\n",
       "\n",
       ".link-bottom, .link-top {\n",
       "    height: var(--box-height);\n",
       "    width: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    left: calc(50% - 1px);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".link-top{\n",
       "    top: calc(0px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom{\n",
       "    top: calc(var(--box-height)/2)\n",
       "}\n",
       ".half-link {\n",
       "    height: calc(var(--box-height) - 9px);\n",
       "}\n",
       ".half-link.link-bottom{\n",
       "    top: calc(var(--box-height)/2 + 11px)\n",
       "}\n",
       ".half-link.link-top{\n",
       "    top: calc(-2px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom.measurement{\n",
       "    width: 3px;\n",
       "    left: calc(50% - 0.5px);\n",
       "    border: none;\n",
       "    background: var(--c-wire-col);\n",
       "    height: calc(var(--box-height) + 2px);\n",
       "    z-index: 1;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "/* tool tips */\n",
       ".tool-tip-container{\n",
       "    margin: calc(0px - var(--box-height)) auto 0;\n",
       "    padding-top: var(--box-height);\n",
       "    position: relative;\n",
       "    bottom: 0;\n",
       "    left: 0;\n",
       "    right: 0;\n",
       "    height: 0;\n",
       "    z-index: 4;\n",
       "    width: fit-content;\n",
       "    overflow: hidden;\n",
       "}\n",
       ".tool-tip-container.no-js{\n",
       "    overflow: visible;\n",
       "}\n",
       ".tool-tip-container.no-js:hover{\n",
       "    z-index: 10;\n",
       "}\n",
       ".nested > .tool-tip-container{\n",
       "    position: absolute;\n",
       "    bottom: -10px;\n",
       "}\n",
       ".tool-tip{\n",
       "    visibility: hidden;\n",
       "    opacity: 0;\n",
       "    -webkit-transition: visibility 0.2s, opacity 0.2s;\n",
       "    -moz-transition: visibility 0.2s, opacity 0.2s;\n",
       "    transition: visibility 0.2s, opacity 0.2s;\n",
       "    max-width: 250px;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip{\n",
       "    visibility: visible;\n",
       "    opacity: 1;\n",
       "}\n",
       ".tool-tip-content{\n",
       "    background: var(--main-bg);\n",
       "    margin: 0 auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    max-width: 100%;\n",
       "}\n",
       ".no-js > .tool-tip > .tool-tip-content{\n",
       "    height: auto;\n",
       "    padding: 20px;\n",
       "    margin: 0 auto;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip > .tool-tip-content,\n",
       ".no-js > tool-tip > .tool-tip-content:hover{\n",
       "    box-shadow: 0 -5px 20px 5px var(--faint-col-overlay);\n",
       "}\n",
       ".tool-tip:after{\n",
       "    content: \" \";\n",
       "    position: absolute;\n",
       "    bottom: 0;\n",
       "    left: 50%;\n",
       "    margin-left: -5px;\n",
       "    border-width: 5px;\n",
       "    border-style: solid;\n",
       "    border-color: transparent transparent var(--main-bg) transparent;\n",
       "}\n",
       ".tool-tip .complex-number{\n",
       "    padding: 4px;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested{\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "}\n",
       ".nested-label-layer.as-height{\n",
       "    padding: 0;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested > .nested-circuit-container,\n",
       ".circuit-preview.condensed > .nested-circuit-container{\n",
       "    background: transparent;\n",
       "    border: none;\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "    max-width: unset;\n",
       "}\n",
       "\n",
       "/* Tool-tip modal */\n",
       ".circuit-grid{\n",
       "    display: flex;\n",
       "    flex-direction: row-reverse;\n",
       "    align-items: stretch;\n",
       "    align-content: stretch;\n",
       "}\n",
       ".circuit-grid-circuit{\n",
       "    flex: 1 1 auto;\n",
       "    margin-top: 30px;\n",
       "    overflow: auto;\n",
       "    max-height: inherit;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "/*  FOR DISPLAYING CHARTS  */\n",
       "table{\n",
       "    border-collapse: collapse;\n",
       "}\n",
       ".table-container{\n",
       "    margin: auto;\n",
       "}\n",
       ".bar-chart-container{\n",
       "    min-width: 300px;\n",
       "    width: 60%;\n",
       "}\n",
       ".square-chart-container{\n",
       "    width: auto;\n",
       "    min-width: 0;\n",
       "    overflow: hidden;\n",
       "}\n",
       "\n",
       "/* Make sure we can see the rightmost border */\n",
       ".square-chart-container tbody{\n",
       "    position: relative;\n",
       "    left: -1px;\n",
       "    display: block;\n",
       "}\n",
       "thead > tr{\n",
       "    background: transparent !important;\n",
       "}\n",
       "tr:hover, tr {\n",
       "    background: initial !important;\n",
       "}\n",
       "\n",
       "td, th{\n",
       "    padding: 10px;\n",
       "    position: relative;\n",
       "}\n",
       "\n",
       "/* COMPLEX NUMBERS AND MATRICES */\n",
       ".complex-number{\n",
       "    padding: 10px;\n",
       "}\n",
       ".mid-number{\n",
       "    padding: 5px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".large-number{\n",
       "    padding: 2px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".matrix_container{\n",
       "    border: 2px solid var(--mid-col);\n",
       "    border-top: 0;\n",
       "    border-bottom: 0;\n",
       "    margin: auto !important;\n",
       "    border-collapse: collapse;\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "\n",
       "/* LIST RESULTS NICELY */\n",
       ".list{\n",
       "    flex-wrap: wrap;\n",
       "    justify-content: space-evenly;\n",
       "    align-items: stretch;\n",
       "    padding: 0;\n",
       "}\n",
       ".list > *{\n",
       "    margin: 10px;\n",
       "}\n",
       ".list > .row-sub-heading{\n",
       "    margin: 10px 0;\n",
       "}\n",
       "</style>\n",
       "\n",
       "</head>\n",
       "<body>\n",
       "    <div class=\"row circuit-grid circuit__preview-body\">\n",
       "        <div class=\"circuit-grid-circuit thin-scrollbar\"  style=\"\">\n",
       "            \n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "    <div class=\"circuit-preview circuit_variables condensed\">\n",
       "        \n",
       "            \n",
       "            <div class=\"nested-label-layer as-height\">\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "            </div>\n",
       "            <div class=\"nested-circuit-container\"><div class=\"circuit-inner-scroll\">\n",
       "        \n",
       "        <div class=\"circuit-container nested\">\n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">q[0]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[1]</div>\n",
       "        \n",
       "        \n",
       "    </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container h\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">H</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">q[0]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[1]</div>\n",
       "        \n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        \n",
       "            </div></div>\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "\n",
       "\n",
       "        </div>\n",
       "    </div>\n",
       "</body>\n",
       "</html>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "State verctor -> [0.707+0.j 0.   +0.j 0.   +0.j 0.707+0.j]\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "circ = Circuit(2).H(0).CX(0,1)\n",
    "\n",
    "backend = AerStateBackend()\n",
    "result_state = backend.run_circuit(circ).get_state()\n",
    "\n",
    "render_circuit_jupyter(circ)\n",
    "print(f\"State verctor -> {np.round(result_state, 3)}\")\n",
    "plot_state_probs(result_state)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "running-domestic",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "<!DOCTYPE html>\n",
       "<html lang=\"en\">\n",
       "<head>\n",
       "    <meta charset=\"UTF-8\">\n",
       "    \n",
       "<style>\n",
       "body, .circuit__preview-body {\n",
       "    font-family: \"roboto\", system-ui, sans-serif;\n",
       "    --accent-col: green;\n",
       "    --accent-col-fill: darkseagreen;\n",
       "    --accent-col-alt: #aca;\n",
       "    --accent-col-emph: limegreen;\n",
       "    --accent-col-overlay: rgba(130,255,140,0.2);\n",
       "    --accent-col-outline: rgba(30, 250, 30,0.2);\n",
       "    --main-col: black;\n",
       "    --mid-col: #bbb;\n",
       "    --faint-col: #eee;\n",
       "    --faint-col-overlay: rgba(0, 0, 0, 0.05);\n",
       "    --main-bg: white;\n",
       "}\n",
       "\n",
       ".row{\n",
       "    display: flex;\n",
       "    flex-wrap: wrap;\n",
       "    align-items: center;\n",
       "    padding: 10px;\n",
       "    border-bottom: 1px solid var(--faint-col);\n",
       "    position: relative;\n",
       "}\n",
       ".row-item{\n",
       "    flex-grow: 1\n",
       "}\n",
       ".row-item-l{\n",
       "    text-align: left;\n",
       "}\n",
       ".row-item-r{\n",
       "    text-align: right;\n",
       "}\n",
       ".row-sub-heading{\n",
       "    border-color: var(--accent-col-emph);\n",
       "}\n",
       "\n",
       "/* FOR DISPLAYING CIRCUITS */\n",
       "/* Main preview container */\n",
       ".circuit-preview {\n",
       "    width: 100%;\n",
       "    height: 100%;\n",
       "    text-align: center;\n",
       "    color: black;\n",
       "}\n",
       ".circuit_variables {\n",
       "    /* Define some variables */\n",
       "    --box-height: 40px;\n",
       "    --wire-col: black;\n",
       "    --c-wire-col: #bbb;\n",
       "    --box-col: #ccc;\n",
       "    --box-col-overlay: rgba(0,0,0,0.05);\n",
       "    --c-box-col: #ddd;\n",
       "    --index-col: #888;\n",
       "}\n",
       ".circuit-preview.condensed{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       "\n",
       "/* Box colours */\n",
       ".h {\n",
       "    --box-col: #ffee00;\n",
       "    --box-col-overlay: rgba(255, 255, 0, 0.2);\n",
       "    --c-box-col: #ffee88;\n",
       "    --index-col: #ffcc00;\n",
       "}\n",
       ".x {\n",
       "    --box-col: #ff8888;\n",
       "    --box-col-overlay: rgba(255, 0, 0, 0.2);\n",
       "    --c-box-col: #e8a6a6;\n",
       "    --index-col: red;\n",
       "}\n",
       ".y {\n",
       "    --box-col: #6699ff;\n",
       "    --box-col-overlay: rgba(0, 0, 255, 0.2);\n",
       "    --c-box-col: #86c6f6;\n",
       "    --index-col: blue;\n",
       "}\n",
       ".z {\n",
       "    --box-col: #ccffcc;\n",
       "    --box-col-overlay: rgba(0, 255, 0, 0.2);\n",
       "    --c-box-col: #e2ffe2;\n",
       "    --index-col: green;\n",
       "}\n",
       "\n",
       ".circuit-container{\n",
       "    max-width: 100%;\n",
       "    display: flex;\n",
       "    flex-flow: row wrap;\n",
       "    justify-content: center;\n",
       "    align-content: flex-start;\n",
       "    margin: auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    background: rgba(255, 255, 255, 1);\n",
       "}\n",
       ".circuit-preview.condensed > .circuit-container{\n",
       "    flex-wrap: nowrap;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".circuit-container.nested{\n",
       "    position: relative;\n",
       "    flex-wrap: nowrap;\n",
       "    margin: -2px 0;\n",
       "}\n",
       ".nested-circuit-container{\n",
       "    display: flex;\n",
       "    overflow: auto;\n",
       "    max-width: 400px;\n",
       "    background: var(--box-col-overlay);\n",
       "    border: 1px solid var(--box-col);\n",
       "}\n",
       ".nested-circuit-container::-webkit-scrollbar {\n",
       "    height: 0;\n",
       "    width: 0;\n",
       "}\n",
       ".circuit-inner-scroll{\n",
       "    overflow: visible;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    margin: auto;\n",
       "    margin-top: 2px;\n",
       "}\n",
       ".circuit-end{\n",
       "    width: 2px;\n",
       "    height: auto;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0 calc(var(--box-height)/2 + 20px);\n",
       "}\n",
       ".circuit-layer{\n",
       "    min-width: 40px;\n",
       "    width: max-content;\n",
       "    display: flex;\n",
       "    flex-flow: column nowrap;\n",
       "    flex-grow: 1;\n",
       "    justify-content: space-between;\n",
       "    align-items: stretch;\n",
       "    margin-bottom: 20px;\n",
       "}\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-child(2),\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-last-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-last-child(2),\n",
       ".gate_container.nested > .circuit-layer:first-child,\n",
       ".gate_container.nested > .circuit-layer:last-child{\n",
       "    min-width: 10px;\n",
       "}\n",
       ".nested .circuit-layer{\n",
       "    margin-bottom: 0;\n",
       "}\n",
       ".flex_wire{\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Display qubit names at start of circuit */\n",
       ".circuit-layer.qubits{\n",
       "    flex-grow: 0;\n",
       "    color: var(--wire-col);\n",
       "}\n",
       ".qubit{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    padding: 10px;\n",
       "    text-align: center;\n",
       "    font-family: monospace;\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".wire{\n",
       "    height: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0;\n",
       "}\n",
       ".wire.classical{\n",
       "    border-color: var(--c-wire-col) !important;\n",
       "    background: var(--c-wire-col) !important;\n",
       "}\n",
       ".wire.transparent-wire{\n",
       "    border-color: transparent;\n",
       "    background: transparent;\n",
       "}\n",
       "\n",
       "/* Generic base for our gates */\n",
       ".gate_container{\n",
       "    position: relative;\n",
       "    min-width: -moz-fit-content;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".gate_container.nested{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container.nested:after{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container .classical{\n",
       "    background: var(--c-box-col);\n",
       "    border-color: var(--index-col);\n",
       "}\n",
       ".gate{\n",
       "    position: relative;\n",
       "    height: calc(var(--box-height) - 16px);\n",
       "    margin: 0 9px;\n",
       "    padding: 9px 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    border-bottom: none;\n",
       "    border-top: none;\n",
       "    text-align: left;\n",
       "    background: var(--box-col);\n",
       "    display: flex;\n",
       "    box-sizing: content-box;\n",
       "    z-index: 1;\n",
       "}\n",
       ".wire-label{\n",
       "    color: var(--index-col);\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    padding-right: 5px;\n",
       "}\n",
       ".gate_top > .wire-label,\n",
       ".gate_bottom > .wire-label {\n",
       "    padding-top: 0;\n",
       "}\n",
       ".nested-label-layer{\n",
       "    background: var(--box-col);\n",
       "    padding: 0 5px;\n",
       "}\n",
       ".nested-label-layer .wire-label{\n",
       "    padding: 10px 0;\n",
       "}\n",
       "\n",
       "/* Multi-qubit gates */\n",
       ".gate_bottom{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-bottom: 10px;\n",
       "    padding-bottom: 0;\n",
       "    border-bottom: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_top{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-top: 10px;\n",
       "    padding-top: 0;\n",
       "    border-top: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_name{\n",
       "    text-align: center;\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Single qubit gate*/\n",
       ".gate_box{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    margin: 10px;\n",
       "    padding: 0 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "/* Special gates */\n",
       ".gate_connection {\n",
       "    position: absolute;\n",
       "    top: -3px;\n",
       "    left: -1px;\n",
       "    border: none;\n",
       "    margin: calc(var(--box-height)/2) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "}\n",
       ".gate_swap {\n",
       "    height: 20px;\n",
       "    width: 20px;\n",
       "    margin: calc(var(--box-height)/2 - 6px) calc(50% - 9px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M60%200%20L32%2028%20L4%200%20L0%204%20L28%2032%20L0%2060%20L4%2064%20L32%2036%20L60%2064%20L64%2060%20L36%2032%20L64%204%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_measure {\n",
       "    height: 20px;\n",
       "    width: 25px;\n",
       "    margin: calc(var(--box-height)/2 - 10px) calc(50% - 11px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%27-10%20-10%2084%2084%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27white%27%0A%20%20stroke%3D%22black%22%0A%20%20stroke-width%3D%224px%22%0A%3E%0A%20%20%3Cpath%20d%3D%27M63%2C63%20C63%2C32%2048%2C16%2032%2C16%20C16%2C16%201%2C32%201%2C63%20L63%2C63%27%20/%3E%0A%20%20%3Cpath%20d%3D%22M32%2C63%20L56%2C16%22%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_control {\n",
       "    position: absolute;\n",
       "    top: 0;\n",
       "    left: 0;\n",
       "    border-radius: 50%;\n",
       "    width: 6px;\n",
       "    height: 6px;\n",
       "    margin: calc(var(--box-height)/2 - 3px) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    background: var(--box-col);\n",
       "}\n",
       ".gate_control.classical{\n",
       "    background: var(--c-wire-col);\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       ".control_index{\n",
       "    position: absolute;\n",
       "    right: calc(50% - 1em);\n",
       "    top: calc(50% - 1.4em);\n",
       "    color: var(--c-wire-col);\n",
       "    font-size: 0.8em;\n",
       "}\n",
       ".control_index.measure{\n",
       "    right: calc(50% - 1.2em);\n",
       "    top: calc(50% - 1.8em);\n",
       "    color: var(--index-col);\n",
       "}\n",
       ".gate_x {\n",
       "    top: -10px;\n",
       "    left: -6px;\n",
       "    border-radius: 50%;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 20px;\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M36%2064%20L36%2036%20L64%2036%20L64%2028%20L36%2028%20L36%200%20L28%200%20L28%2028%20L0%2028%20L0%2036%20L28%2036%20L28%2064%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-color: var(--box-col);\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_reset{\n",
       "    margin: 11px 10px;\n",
       "    padding: 0 0 0 10px;\n",
       "    border: none !important;\n",
       "    border-left: 2px solid var(--wire-col) !important;\n",
       "    background: transparent;\n",
       "}\n",
       ".gate_reset_spider{\n",
       "    width: calc(var(--box-height) - 24px);\n",
       "    height: calc(var(--box-height) - 24px);\n",
       "    background: var(--box-col);\n",
       "    border: 2px solid var(--wire-col);\n",
       "    border-radius: 50%;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       "\n",
       "/* Add wire sections coming in and out of the gate */\n",
       ".gate_in:before, .gate_in:after{\n",
       "    content: '';\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    top: calc(50% - 1px);\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 9px;\n",
       "    height: 0;\n",
       "    background: var(--wire-col);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".classical.gate_in:before,\n",
       ".classical.gate_in:after{\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       "\n",
       ".gate_in:before{\n",
       "    left: -12px;\n",
       "}\n",
       ".gate_out:after{\n",
       "    right: -12px;\n",
       "}\n",
       ".gate_top.gate_in:before, .gate_top.gate_out:after{\n",
       "    top:calc(50% - 6.5px)\n",
       "}\n",
       ".gate_bottom.gate_in:before, .gate_bottom.gate_out:after{\n",
       "    top:calc(50% + 4.5px)\n",
       "}\n",
       "\n",
       "\n",
       ".link-bottom, .link-top {\n",
       "    height: var(--box-height);\n",
       "    width: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    left: calc(50% - 1px);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".link-top{\n",
       "    top: calc(0px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom{\n",
       "    top: calc(var(--box-height)/2)\n",
       "}\n",
       ".half-link {\n",
       "    height: calc(var(--box-height) - 9px);\n",
       "}\n",
       ".half-link.link-bottom{\n",
       "    top: calc(var(--box-height)/2 + 11px)\n",
       "}\n",
       ".half-link.link-top{\n",
       "    top: calc(-2px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom.measurement{\n",
       "    width: 3px;\n",
       "    left: calc(50% - 0.5px);\n",
       "    border: none;\n",
       "    background: var(--c-wire-col);\n",
       "    height: calc(var(--box-height) + 2px);\n",
       "    z-index: 1;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "/* tool tips */\n",
       ".tool-tip-container{\n",
       "    margin: calc(0px - var(--box-height)) auto 0;\n",
       "    padding-top: var(--box-height);\n",
       "    position: relative;\n",
       "    bottom: 0;\n",
       "    left: 0;\n",
       "    right: 0;\n",
       "    height: 0;\n",
       "    z-index: 4;\n",
       "    width: fit-content;\n",
       "    overflow: hidden;\n",
       "}\n",
       ".tool-tip-container.no-js{\n",
       "    overflow: visible;\n",
       "}\n",
       ".tool-tip-container.no-js:hover{\n",
       "    z-index: 10;\n",
       "}\n",
       ".nested > .tool-tip-container{\n",
       "    position: absolute;\n",
       "    bottom: -10px;\n",
       "}\n",
       ".tool-tip{\n",
       "    visibility: hidden;\n",
       "    opacity: 0;\n",
       "    -webkit-transition: visibility 0.2s, opacity 0.2s;\n",
       "    -moz-transition: visibility 0.2s, opacity 0.2s;\n",
       "    transition: visibility 0.2s, opacity 0.2s;\n",
       "    max-width: 250px;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip{\n",
       "    visibility: visible;\n",
       "    opacity: 1;\n",
       "}\n",
       ".tool-tip-content{\n",
       "    background: var(--main-bg);\n",
       "    margin: 0 auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    max-width: 100%;\n",
       "}\n",
       ".no-js > .tool-tip > .tool-tip-content{\n",
       "    height: auto;\n",
       "    padding: 20px;\n",
       "    margin: 0 auto;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip > .tool-tip-content,\n",
       ".no-js > tool-tip > .tool-tip-content:hover{\n",
       "    box-shadow: 0 -5px 20px 5px var(--faint-col-overlay);\n",
       "}\n",
       ".tool-tip:after{\n",
       "    content: \" \";\n",
       "    position: absolute;\n",
       "    bottom: 0;\n",
       "    left: 50%;\n",
       "    margin-left: -5px;\n",
       "    border-width: 5px;\n",
       "    border-style: solid;\n",
       "    border-color: transparent transparent var(--main-bg) transparent;\n",
       "}\n",
       ".tool-tip .complex-number{\n",
       "    padding: 4px;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested{\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "}\n",
       ".nested-label-layer.as-height{\n",
       "    padding: 0;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested > .nested-circuit-container,\n",
       ".circuit-preview.condensed > .nested-circuit-container{\n",
       "    background: transparent;\n",
       "    border: none;\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "    max-width: unset;\n",
       "}\n",
       "\n",
       "/* Tool-tip modal */\n",
       ".circuit-grid{\n",
       "    display: flex;\n",
       "    flex-direction: row-reverse;\n",
       "    align-items: stretch;\n",
       "    align-content: stretch;\n",
       "}\n",
       ".circuit-grid-circuit{\n",
       "    flex: 1 1 auto;\n",
       "    margin-top: 30px;\n",
       "    overflow: auto;\n",
       "    max-height: inherit;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "/*  FOR DISPLAYING CHARTS  */\n",
       "table{\n",
       "    border-collapse: collapse;\n",
       "}\n",
       ".table-container{\n",
       "    margin: auto;\n",
       "}\n",
       ".bar-chart-container{\n",
       "    min-width: 300px;\n",
       "    width: 60%;\n",
       "}\n",
       ".square-chart-container{\n",
       "    width: auto;\n",
       "    min-width: 0;\n",
       "    overflow: hidden;\n",
       "}\n",
       "\n",
       "/* Make sure we can see the rightmost border */\n",
       ".square-chart-container tbody{\n",
       "    position: relative;\n",
       "    left: -1px;\n",
       "    display: block;\n",
       "}\n",
       "thead > tr{\n",
       "    background: transparent !important;\n",
       "}\n",
       "tr:hover, tr {\n",
       "    background: initial !important;\n",
       "}\n",
       "\n",
       "td, th{\n",
       "    padding: 10px;\n",
       "    position: relative;\n",
       "}\n",
       "\n",
       "/* COMPLEX NUMBERS AND MATRICES */\n",
       ".complex-number{\n",
       "    padding: 10px;\n",
       "}\n",
       ".mid-number{\n",
       "    padding: 5px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".large-number{\n",
       "    padding: 2px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".matrix_container{\n",
       "    border: 2px solid var(--mid-col);\n",
       "    border-top: 0;\n",
       "    border-bottom: 0;\n",
       "    margin: auto !important;\n",
       "    border-collapse: collapse;\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "\n",
       "/* LIST RESULTS NICELY */\n",
       ".list{\n",
       "    flex-wrap: wrap;\n",
       "    justify-content: space-evenly;\n",
       "    align-items: stretch;\n",
       "    padding: 0;\n",
       "}\n",
       ".list > *{\n",
       "    margin: 10px;\n",
       "}\n",
       ".list > .row-sub-heading{\n",
       "    margin: 10px 0;\n",
       "}\n",
       "</style>\n",
       "\n",
       "</head>\n",
       "<body>\n",
       "    <div class=\"row circuit-grid circuit__preview-body\">\n",
       "        <div class=\"circuit-grid-circuit thin-scrollbar\"  style=\"\">\n",
       "            \n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "    <div class=\"circuit-preview circuit_variables condensed\">\n",
       "        \n",
       "            \n",
       "            <div class=\"nested-label-layer as-height\">\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "            </div>\n",
       "            <div class=\"nested-circuit-container\"><div class=\"circuit-inner-scroll\">\n",
       "        \n",
       "        <div class=\"circuit-container nested\">\n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">q[0]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[1]</div>\n",
       "        \n",
       "        \n",
       "            <div class=\"qubit bit\">c[0]</div>\n",
       "        \n",
       "            <div class=\"qubit bit\">c[1]</div>\n",
       "        \n",
       "    </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire classical\"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire classical\"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container h\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">H</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire classical\"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire classical\"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire classical\"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire classical\"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        <div class=\"gate_container\">\n",
       "        \n",
       "            <div class=\"link-bottom measurement\"></div>\n",
       "        \n",
       "        \n",
       "\n",
       "        <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        <div class=\"gate gate_connection gate_measure\"></div>\n",
       "        \n",
       "            <div class=\"control_index measure z\">z</div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        \n",
       "            <div class=\"link-bottom measurement\"></div>\n",
       "        \n",
       "        \n",
       "\n",
       "        <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        <div class=\"gate gate_connection \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "        <div class=\"gate_container\">\n",
       "        \n",
       "        \n",
       "\n",
       "        <div class=\"gate_container\">\n",
       "        <div class=\"wire classical\"></div>\n",
       "        \n",
       "    </div>\n",
       "        <div class=\"gate gate_connection \"></div>\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire classical\"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        <div class=\"gate_container\">\n",
       "        \n",
       "            <div class=\"link-bottom measurement\"></div>\n",
       "        \n",
       "        \n",
       "\n",
       "        <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        <div class=\"gate gate_connection gate_measure\"></div>\n",
       "        \n",
       "            <div class=\"control_index measure z\">z</div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        \n",
       "            <div class=\"link-bottom measurement\"></div>\n",
       "        \n",
       "        \n",
       "\n",
       "        <div class=\"gate_container\">\n",
       "        <div class=\"wire classical\"></div>\n",
       "        \n",
       "    </div>\n",
       "        <div class=\"gate gate_connection \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "        <div class=\"gate_container\">\n",
       "        \n",
       "        \n",
       "\n",
       "        <div class=\"gate_container\">\n",
       "        <div class=\"wire classical\"></div>\n",
       "        \n",
       "    </div>\n",
       "        <div class=\"gate gate_connection \"></div>\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire classical\"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire classical\"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">q[0]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[1]</div>\n",
       "        \n",
       "        \n",
       "            <div class=\"qubit bit\">c[0]</div>\n",
       "        \n",
       "            <div class=\"qubit bit\">c[1]</div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        \n",
       "            </div></div>\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "\n",
       "\n",
       "        </div>\n",
       "    </div>\n",
       "</body>\n",
       "</html>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "circ = Circuit(2,2).H(0).CX(0,1).measure_all()\n",
    "render_circuit_jupyter(circ)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "compound-thanks",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pytket.extensions.qiskit import AerBackend\n",
    "\n",
    "backend = AerBackend()\n",
    "result_counts = backend.run_circuit(circ, n_shots=1000).get_counts()\n",
    "plot_counts(result_counts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "living-tracy",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "<!DOCTYPE html>\n",
       "<html lang=\"en\">\n",
       "<head>\n",
       "    <meta charset=\"UTF-8\">\n",
       "    \n",
       "<style>\n",
       "body, .circuit__preview-body {\n",
       "    font-family: \"roboto\", system-ui, sans-serif;\n",
       "    --accent-col: green;\n",
       "    --accent-col-fill: darkseagreen;\n",
       "    --accent-col-alt: #aca;\n",
       "    --accent-col-emph: limegreen;\n",
       "    --accent-col-overlay: rgba(130,255,140,0.2);\n",
       "    --accent-col-outline: rgba(30, 250, 30,0.2);\n",
       "    --main-col: black;\n",
       "    --mid-col: #bbb;\n",
       "    --faint-col: #eee;\n",
       "    --faint-col-overlay: rgba(0, 0, 0, 0.05);\n",
       "    --main-bg: white;\n",
       "}\n",
       "\n",
       ".row{\n",
       "    display: flex;\n",
       "    flex-wrap: wrap;\n",
       "    align-items: center;\n",
       "    padding: 10px;\n",
       "    border-bottom: 1px solid var(--faint-col);\n",
       "    position: relative;\n",
       "}\n",
       ".row-item{\n",
       "    flex-grow: 1\n",
       "}\n",
       ".row-item-l{\n",
       "    text-align: left;\n",
       "}\n",
       ".row-item-r{\n",
       "    text-align: right;\n",
       "}\n",
       ".row-sub-heading{\n",
       "    border-color: var(--accent-col-emph);\n",
       "}\n",
       "\n",
       "/* FOR DISPLAYING CIRCUITS */\n",
       "/* Main preview container */\n",
       ".circuit-preview {\n",
       "    width: 100%;\n",
       "    height: 100%;\n",
       "    text-align: center;\n",
       "    color: black;\n",
       "}\n",
       ".circuit_variables {\n",
       "    /* Define some variables */\n",
       "    --box-height: 40px;\n",
       "    --wire-col: black;\n",
       "    --c-wire-col: #bbb;\n",
       "    --box-col: #ccc;\n",
       "    --box-col-overlay: rgba(0,0,0,0.05);\n",
       "    --c-box-col: #ddd;\n",
       "    --index-col: #888;\n",
       "}\n",
       ".circuit-preview.condensed{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       "\n",
       "/* Box colours */\n",
       ".h {\n",
       "    --box-col: #ffee00;\n",
       "    --box-col-overlay: rgba(255, 255, 0, 0.2);\n",
       "    --c-box-col: #ffee88;\n",
       "    --index-col: #ffcc00;\n",
       "}\n",
       ".x {\n",
       "    --box-col: #ff8888;\n",
       "    --box-col-overlay: rgba(255, 0, 0, 0.2);\n",
       "    --c-box-col: #e8a6a6;\n",
       "    --index-col: red;\n",
       "}\n",
       ".y {\n",
       "    --box-col: #6699ff;\n",
       "    --box-col-overlay: rgba(0, 0, 255, 0.2);\n",
       "    --c-box-col: #86c6f6;\n",
       "    --index-col: blue;\n",
       "}\n",
       ".z {\n",
       "    --box-col: #ccffcc;\n",
       "    --box-col-overlay: rgba(0, 255, 0, 0.2);\n",
       "    --c-box-col: #e2ffe2;\n",
       "    --index-col: green;\n",
       "}\n",
       "\n",
       ".circuit-container{\n",
       "    max-width: 100%;\n",
       "    display: flex;\n",
       "    flex-flow: row wrap;\n",
       "    justify-content: center;\n",
       "    align-content: flex-start;\n",
       "    margin: auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    background: rgba(255, 255, 255, 1);\n",
       "}\n",
       ".circuit-preview.condensed > .circuit-container{\n",
       "    flex-wrap: nowrap;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".circuit-container.nested{\n",
       "    position: relative;\n",
       "    flex-wrap: nowrap;\n",
       "    margin: -2px 0;\n",
       "}\n",
       ".nested-circuit-container{\n",
       "    display: flex;\n",
       "    overflow: auto;\n",
       "    max-width: 400px;\n",
       "    background: var(--box-col-overlay);\n",
       "    border: 1px solid var(--box-col);\n",
       "}\n",
       ".nested-circuit-container::-webkit-scrollbar {\n",
       "    height: 0;\n",
       "    width: 0;\n",
       "}\n",
       ".circuit-inner-scroll{\n",
       "    overflow: visible;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    margin: auto;\n",
       "    margin-top: 2px;\n",
       "}\n",
       ".circuit-end{\n",
       "    width: 2px;\n",
       "    height: auto;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0 calc(var(--box-height)/2 + 20px);\n",
       "}\n",
       ".circuit-layer{\n",
       "    min-width: 40px;\n",
       "    width: max-content;\n",
       "    display: flex;\n",
       "    flex-flow: column nowrap;\n",
       "    flex-grow: 1;\n",
       "    justify-content: space-between;\n",
       "    align-items: stretch;\n",
       "    margin-bottom: 20px;\n",
       "}\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-child(2),\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-last-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-last-child(2),\n",
       ".gate_container.nested > .circuit-layer:first-child,\n",
       ".gate_container.nested > .circuit-layer:last-child{\n",
       "    min-width: 10px;\n",
       "}\n",
       ".nested .circuit-layer{\n",
       "    margin-bottom: 0;\n",
       "}\n",
       ".flex_wire{\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Display qubit names at start of circuit */\n",
       ".circuit-layer.qubits{\n",
       "    flex-grow: 0;\n",
       "    color: var(--wire-col);\n",
       "}\n",
       ".qubit{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    padding: 10px;\n",
       "    text-align: center;\n",
       "    font-family: monospace;\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".wire{\n",
       "    height: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0;\n",
       "}\n",
       ".wire.classical{\n",
       "    border-color: var(--c-wire-col) !important;\n",
       "    background: var(--c-wire-col) !important;\n",
       "}\n",
       ".wire.transparent-wire{\n",
       "    border-color: transparent;\n",
       "    background: transparent;\n",
       "}\n",
       "\n",
       "/* Generic base for our gates */\n",
       ".gate_container{\n",
       "    position: relative;\n",
       "    min-width: -moz-fit-content;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".gate_container.nested{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container.nested:after{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container .classical{\n",
       "    background: var(--c-box-col);\n",
       "    border-color: var(--index-col);\n",
       "}\n",
       ".gate{\n",
       "    position: relative;\n",
       "    height: calc(var(--box-height) - 16px);\n",
       "    margin: 0 9px;\n",
       "    padding: 9px 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    border-bottom: none;\n",
       "    border-top: none;\n",
       "    text-align: left;\n",
       "    background: var(--box-col);\n",
       "    display: flex;\n",
       "    box-sizing: content-box;\n",
       "    z-index: 1;\n",
       "}\n",
       ".wire-label{\n",
       "    color: var(--index-col);\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    padding-right: 5px;\n",
       "}\n",
       ".gate_top > .wire-label,\n",
       ".gate_bottom > .wire-label {\n",
       "    padding-top: 0;\n",
       "}\n",
       ".nested-label-layer{\n",
       "    background: var(--box-col);\n",
       "    padding: 0 5px;\n",
       "}\n",
       ".nested-label-layer .wire-label{\n",
       "    padding: 10px 0;\n",
       "}\n",
       "\n",
       "/* Multi-qubit gates */\n",
       ".gate_bottom{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-bottom: 10px;\n",
       "    padding-bottom: 0;\n",
       "    border-bottom: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_top{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-top: 10px;\n",
       "    padding-top: 0;\n",
       "    border-top: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_name{\n",
       "    text-align: center;\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Single qubit gate*/\n",
       ".gate_box{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    margin: 10px;\n",
       "    padding: 0 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "/* Special gates */\n",
       ".gate_connection {\n",
       "    position: absolute;\n",
       "    top: -3px;\n",
       "    left: -1px;\n",
       "    border: none;\n",
       "    margin: calc(var(--box-height)/2) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "}\n",
       ".gate_swap {\n",
       "    height: 20px;\n",
       "    width: 20px;\n",
       "    margin: calc(var(--box-height)/2 - 6px) calc(50% - 9px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M60%200%20L32%2028%20L4%200%20L0%204%20L28%2032%20L0%2060%20L4%2064%20L32%2036%20L60%2064%20L64%2060%20L36%2032%20L64%204%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_measure {\n",
       "    height: 20px;\n",
       "    width: 25px;\n",
       "    margin: calc(var(--box-height)/2 - 10px) calc(50% - 11px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%27-10%20-10%2084%2084%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27white%27%0A%20%20stroke%3D%22black%22%0A%20%20stroke-width%3D%224px%22%0A%3E%0A%20%20%3Cpath%20d%3D%27M63%2C63%20C63%2C32%2048%2C16%2032%2C16%20C16%2C16%201%2C32%201%2C63%20L63%2C63%27%20/%3E%0A%20%20%3Cpath%20d%3D%22M32%2C63%20L56%2C16%22%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_control {\n",
       "    position: absolute;\n",
       "    top: 0;\n",
       "    left: 0;\n",
       "    border-radius: 50%;\n",
       "    width: 6px;\n",
       "    height: 6px;\n",
       "    margin: calc(var(--box-height)/2 - 3px) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    background: var(--box-col);\n",
       "}\n",
       ".gate_control.classical{\n",
       "    background: var(--c-wire-col);\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       ".control_index{\n",
       "    position: absolute;\n",
       "    right: calc(50% - 1em);\n",
       "    top: calc(50% - 1.4em);\n",
       "    color: var(--c-wire-col);\n",
       "    font-size: 0.8em;\n",
       "}\n",
       ".control_index.measure{\n",
       "    right: calc(50% - 1.2em);\n",
       "    top: calc(50% - 1.8em);\n",
       "    color: var(--index-col);\n",
       "}\n",
       ".gate_x {\n",
       "    top: -10px;\n",
       "    left: -6px;\n",
       "    border-radius: 50%;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 20px;\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M36%2064%20L36%2036%20L64%2036%20L64%2028%20L36%2028%20L36%200%20L28%200%20L28%2028%20L0%2028%20L0%2036%20L28%2036%20L28%2064%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-color: var(--box-col);\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_reset{\n",
       "    margin: 11px 10px;\n",
       "    padding: 0 0 0 10px;\n",
       "    border: none !important;\n",
       "    border-left: 2px solid var(--wire-col) !important;\n",
       "    background: transparent;\n",
       "}\n",
       ".gate_reset_spider{\n",
       "    width: calc(var(--box-height) - 24px);\n",
       "    height: calc(var(--box-height) - 24px);\n",
       "    background: var(--box-col);\n",
       "    border: 2px solid var(--wire-col);\n",
       "    border-radius: 50%;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       "\n",
       "/* Add wire sections coming in and out of the gate */\n",
       ".gate_in:before, .gate_in:after{\n",
       "    content: '';\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    top: calc(50% - 1px);\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 9px;\n",
       "    height: 0;\n",
       "    background: var(--wire-col);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".classical.gate_in:before,\n",
       ".classical.gate_in:after{\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       "\n",
       ".gate_in:before{\n",
       "    left: -12px;\n",
       "}\n",
       ".gate_out:after{\n",
       "    right: -12px;\n",
       "}\n",
       ".gate_top.gate_in:before, .gate_top.gate_out:after{\n",
       "    top:calc(50% - 6.5px)\n",
       "}\n",
       ".gate_bottom.gate_in:before, .gate_bottom.gate_out:after{\n",
       "    top:calc(50% + 4.5px)\n",
       "}\n",
       "\n",
       "\n",
       ".link-bottom, .link-top {\n",
       "    height: var(--box-height);\n",
       "    width: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    left: calc(50% - 1px);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".link-top{\n",
       "    top: calc(0px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom{\n",
       "    top: calc(var(--box-height)/2)\n",
       "}\n",
       ".half-link {\n",
       "    height: calc(var(--box-height) - 9px);\n",
       "}\n",
       ".half-link.link-bottom{\n",
       "    top: calc(var(--box-height)/2 + 11px)\n",
       "}\n",
       ".half-link.link-top{\n",
       "    top: calc(-2px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom.measurement{\n",
       "    width: 3px;\n",
       "    left: calc(50% - 0.5px);\n",
       "    border: none;\n",
       "    background: var(--c-wire-col);\n",
       "    height: calc(var(--box-height) + 2px);\n",
       "    z-index: 1;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "/* tool tips */\n",
       ".tool-tip-container{\n",
       "    margin: calc(0px - var(--box-height)) auto 0;\n",
       "    padding-top: var(--box-height);\n",
       "    position: relative;\n",
       "    bottom: 0;\n",
       "    left: 0;\n",
       "    right: 0;\n",
       "    height: 0;\n",
       "    z-index: 4;\n",
       "    width: fit-content;\n",
       "    overflow: hidden;\n",
       "}\n",
       ".tool-tip-container.no-js{\n",
       "    overflow: visible;\n",
       "}\n",
       ".tool-tip-container.no-js:hover{\n",
       "    z-index: 10;\n",
       "}\n",
       ".nested > .tool-tip-container{\n",
       "    position: absolute;\n",
       "    bottom: -10px;\n",
       "}\n",
       ".tool-tip{\n",
       "    visibility: hidden;\n",
       "    opacity: 0;\n",
       "    -webkit-transition: visibility 0.2s, opacity 0.2s;\n",
       "    -moz-transition: visibility 0.2s, opacity 0.2s;\n",
       "    transition: visibility 0.2s, opacity 0.2s;\n",
       "    max-width: 250px;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip{\n",
       "    visibility: visible;\n",
       "    opacity: 1;\n",
       "}\n",
       ".tool-tip-content{\n",
       "    background: var(--main-bg);\n",
       "    margin: 0 auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    max-width: 100%;\n",
       "}\n",
       ".no-js > .tool-tip > .tool-tip-content{\n",
       "    height: auto;\n",
       "    padding: 20px;\n",
       "    margin: 0 auto;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip > .tool-tip-content,\n",
       ".no-js > tool-tip > .tool-tip-content:hover{\n",
       "    box-shadow: 0 -5px 20px 5px var(--faint-col-overlay);\n",
       "}\n",
       ".tool-tip:after{\n",
       "    content: \" \";\n",
       "    position: absolute;\n",
       "    bottom: 0;\n",
       "    left: 50%;\n",
       "    margin-left: -5px;\n",
       "    border-width: 5px;\n",
       "    border-style: solid;\n",
       "    border-color: transparent transparent var(--main-bg) transparent;\n",
       "}\n",
       ".tool-tip .complex-number{\n",
       "    padding: 4px;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested{\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "}\n",
       ".nested-label-layer.as-height{\n",
       "    padding: 0;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested > .nested-circuit-container,\n",
       ".circuit-preview.condensed > .nested-circuit-container{\n",
       "    background: transparent;\n",
       "    border: none;\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "    max-width: unset;\n",
       "}\n",
       "\n",
       "/* Tool-tip modal */\n",
       ".circuit-grid{\n",
       "    display: flex;\n",
       "    flex-direction: row-reverse;\n",
       "    align-items: stretch;\n",
       "    align-content: stretch;\n",
       "}\n",
       ".circuit-grid-circuit{\n",
       "    flex: 1 1 auto;\n",
       "    margin-top: 30px;\n",
       "    overflow: auto;\n",
       "    max-height: inherit;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "/*  FOR DISPLAYING CHARTS  */\n",
       "table{\n",
       "    border-collapse: collapse;\n",
       "}\n",
       ".table-container{\n",
       "    margin: auto;\n",
       "}\n",
       ".bar-chart-container{\n",
       "    min-width: 300px;\n",
       "    width: 60%;\n",
       "}\n",
       ".square-chart-container{\n",
       "    width: auto;\n",
       "    min-width: 0;\n",
       "    overflow: hidden;\n",
       "}\n",
       "\n",
       "/* Make sure we can see the rightmost border */\n",
       ".square-chart-container tbody{\n",
       "    position: relative;\n",
       "    left: -1px;\n",
       "    display: block;\n",
       "}\n",
       "thead > tr{\n",
       "    background: transparent !important;\n",
       "}\n",
       "tr:hover, tr {\n",
       "    background: initial !important;\n",
       "}\n",
       "\n",
       "td, th{\n",
       "    padding: 10px;\n",
       "    position: relative;\n",
       "}\n",
       "\n",
       "/* COMPLEX NUMBERS AND MATRICES */\n",
       ".complex-number{\n",
       "    padding: 10px;\n",
       "}\n",
       ".mid-number{\n",
       "    padding: 5px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".large-number{\n",
       "    padding: 2px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".matrix_container{\n",
       "    border: 2px solid var(--mid-col);\n",
       "    border-top: 0;\n",
       "    border-bottom: 0;\n",
       "    margin: auto !important;\n",
       "    border-collapse: collapse;\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "\n",
       "/* LIST RESULTS NICELY */\n",
       ".list{\n",
       "    flex-wrap: wrap;\n",
       "    justify-content: space-evenly;\n",
       "    align-items: stretch;\n",
       "    padding: 0;\n",
       "}\n",
       ".list > *{\n",
       "    margin: 10px;\n",
       "}\n",
       ".list > .row-sub-heading{\n",
       "    margin: 10px 0;\n",
       "}\n",
       "</style>\n",
       "\n",
       "</head>\n",
       "<body>\n",
       "    <div class=\"row circuit-grid circuit__preview-body\">\n",
       "        <div class=\"circuit-grid-circuit thin-scrollbar\"  style=\"\">\n",
       "            \n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "    <div class=\"circuit-preview circuit_variables condensed\">\n",
       "        \n",
       "            \n",
       "            <div class=\"nested-label-layer as-height\">\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "            </div>\n",
       "            <div class=\"nested-circuit-container\"><div class=\"circuit-inner-scroll\">\n",
       "        \n",
       "        <div class=\"circuit-container nested\">\n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">q[0]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[1]</div>\n",
       "        \n",
       "        \n",
       "            <div class=\"qubit bit\">c[0]</div>\n",
       "        \n",
       "    </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire classical\"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container h\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">H</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire classical\"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire classical\"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        <div class=\"gate_container\">\n",
       "        \n",
       "            <div class=\"link-bottom measurement\"></div>\n",
       "        \n",
       "        \n",
       "\n",
       "        <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        <div class=\"gate gate_connection gate_measure\"></div>\n",
       "        \n",
       "            <div class=\"control_index measure z\">z</div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "        <div class=\"gate_container\">\n",
       "        \n",
       "        \n",
       "\n",
       "        <div class=\"gate_container\">\n",
       "        <div class=\"wire classical\"></div>\n",
       "        \n",
       "    </div>\n",
       "        <div class=\"gate gate_connection \"></div>\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
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       "\n",
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       "            \n",
       "            <div class=\"circuit-layer qubits\">\n",
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       "        \n",
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       "        \n",
       "            <div class=\"qubit bit\">c[0]</div>\n",
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      "text/plain": [
       "<Figure size 432x144 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "circ = Circuit(2,1).H(0).CX(0,1).Measure(1,0)\n",
    "render_circuit_jupyter(circ)\n",
    "\n",
    "backend = AerBackend()\n",
    "result_counts = backend.run_circuit(circ, n_shots=1000).get_counts()\n",
    "plot_counts(result_counts)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "public-jonathan",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "The first argument is the qubit to be measured and the second specifies the classical bit where the result is stored."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "molecular-monte",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Preparing and Running Quantum Circuits\n",
    "\n",
    "In practice running on a real device is a little more complicated.\n",
    "- So far we have used ideal classical simulators, which are noise free, do not have architectures, have a diverse gate set."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "industrial-letter",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
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       "\n",
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       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "<!DOCTYPE html>\n",
       "<html lang=\"en\">\n",
       "<head>\n",
       "    <meta charset=\"UTF-8\">\n",
       "    \n",
       "<style>\n",
       "body, .circuit__preview-body {\n",
       "    font-family: \"roboto\", system-ui, sans-serif;\n",
       "    --accent-col: green;\n",
       "    --accent-col-fill: darkseagreen;\n",
       "    --accent-col-alt: #aca;\n",
       "    --accent-col-emph: limegreen;\n",
       "    --accent-col-overlay: rgba(130,255,140,0.2);\n",
       "    --accent-col-outline: rgba(30, 250, 30,0.2);\n",
       "    --main-col: black;\n",
       "    --mid-col: #bbb;\n",
       "    --faint-col: #eee;\n",
       "    --faint-col-overlay: rgba(0, 0, 0, 0.05);\n",
       "    --main-bg: white;\n",
       "}\n",
       "\n",
       ".row{\n",
       "    display: flex;\n",
       "    flex-wrap: wrap;\n",
       "    align-items: center;\n",
       "    padding: 10px;\n",
       "    border-bottom: 1px solid var(--faint-col);\n",
       "    position: relative;\n",
       "}\n",
       ".row-item{\n",
       "    flex-grow: 1\n",
       "}\n",
       ".row-item-l{\n",
       "    text-align: left;\n",
       "}\n",
       ".row-item-r{\n",
       "    text-align: right;\n",
       "}\n",
       ".row-sub-heading{\n",
       "    border-color: var(--accent-col-emph);\n",
       "}\n",
       "\n",
       "/* FOR DISPLAYING CIRCUITS */\n",
       "/* Main preview container */\n",
       ".circuit-preview {\n",
       "    width: 100%;\n",
       "    height: 100%;\n",
       "    text-align: center;\n",
       "    color: black;\n",
       "}\n",
       ".circuit_variables {\n",
       "    /* Define some variables */\n",
       "    --box-height: 40px;\n",
       "    --wire-col: black;\n",
       "    --c-wire-col: #bbb;\n",
       "    --box-col: #ccc;\n",
       "    --box-col-overlay: rgba(0,0,0,0.05);\n",
       "    --c-box-col: #ddd;\n",
       "    --index-col: #888;\n",
       "}\n",
       ".circuit-preview.condensed{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       "\n",
       "/* Box colours */\n",
       ".h {\n",
       "    --box-col: #ffee00;\n",
       "    --box-col-overlay: rgba(255, 255, 0, 0.2);\n",
       "    --c-box-col: #ffee88;\n",
       "    --index-col: #ffcc00;\n",
       "}\n",
       ".x {\n",
       "    --box-col: #ff8888;\n",
       "    --box-col-overlay: rgba(255, 0, 0, 0.2);\n",
       "    --c-box-col: #e8a6a6;\n",
       "    --index-col: red;\n",
       "}\n",
       ".y {\n",
       "    --box-col: #6699ff;\n",
       "    --box-col-overlay: rgba(0, 0, 255, 0.2);\n",
       "    --c-box-col: #86c6f6;\n",
       "    --index-col: blue;\n",
       "}\n",
       ".z {\n",
       "    --box-col: #ccffcc;\n",
       "    --box-col-overlay: rgba(0, 255, 0, 0.2);\n",
       "    --c-box-col: #e2ffe2;\n",
       "    --index-col: green;\n",
       "}\n",
       "\n",
       ".circuit-container{\n",
       "    max-width: 100%;\n",
       "    display: flex;\n",
       "    flex-flow: row wrap;\n",
       "    justify-content: center;\n",
       "    align-content: flex-start;\n",
       "    margin: auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    background: rgba(255, 255, 255, 1);\n",
       "}\n",
       ".circuit-preview.condensed > .circuit-container{\n",
       "    flex-wrap: nowrap;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".circuit-container.nested{\n",
       "    position: relative;\n",
       "    flex-wrap: nowrap;\n",
       "    margin: -2px 0;\n",
       "}\n",
       ".nested-circuit-container{\n",
       "    display: flex;\n",
       "    overflow: auto;\n",
       "    max-width: 400px;\n",
       "    background: var(--box-col-overlay);\n",
       "    border: 1px solid var(--box-col);\n",
       "}\n",
       ".nested-circuit-container::-webkit-scrollbar {\n",
       "    height: 0;\n",
       "    width: 0;\n",
       "}\n",
       ".circuit-inner-scroll{\n",
       "    overflow: visible;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    margin: auto;\n",
       "    margin-top: 2px;\n",
       "}\n",
       ".circuit-end{\n",
       "    width: 2px;\n",
       "    height: auto;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0 calc(var(--box-height)/2 + 20px);\n",
       "}\n",
       ".circuit-layer{\n",
       "    min-width: 40px;\n",
       "    width: max-content;\n",
       "    display: flex;\n",
       "    flex-flow: column nowrap;\n",
       "    flex-grow: 1;\n",
       "    justify-content: space-between;\n",
       "    align-items: stretch;\n",
       "    margin-bottom: 20px;\n",
       "}\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-child(2),\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-last-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-last-child(2),\n",
       ".gate_container.nested > .circuit-layer:first-child,\n",
       ".gate_container.nested > .circuit-layer:last-child{\n",
       "    min-width: 10px;\n",
       "}\n",
       ".nested .circuit-layer{\n",
       "    margin-bottom: 0;\n",
       "}\n",
       ".flex_wire{\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Display qubit names at start of circuit */\n",
       ".circuit-layer.qubits{\n",
       "    flex-grow: 0;\n",
       "    color: var(--wire-col);\n",
       "}\n",
       ".qubit{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    padding: 10px;\n",
       "    text-align: center;\n",
       "    font-family: monospace;\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".wire{\n",
       "    height: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0;\n",
       "}\n",
       ".wire.classical{\n",
       "    border-color: var(--c-wire-col) !important;\n",
       "    background: var(--c-wire-col) !important;\n",
       "}\n",
       ".wire.transparent-wire{\n",
       "    border-color: transparent;\n",
       "    background: transparent;\n",
       "}\n",
       "\n",
       "/* Generic base for our gates */\n",
       ".gate_container{\n",
       "    position: relative;\n",
       "    min-width: -moz-fit-content;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".gate_container.nested{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container.nested:after{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container .classical{\n",
       "    background: var(--c-box-col);\n",
       "    border-color: var(--index-col);\n",
       "}\n",
       ".gate{\n",
       "    position: relative;\n",
       "    height: calc(var(--box-height) - 16px);\n",
       "    margin: 0 9px;\n",
       "    padding: 9px 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    border-bottom: none;\n",
       "    border-top: none;\n",
       "    text-align: left;\n",
       "    background: var(--box-col);\n",
       "    display: flex;\n",
       "    box-sizing: content-box;\n",
       "    z-index: 1;\n",
       "}\n",
       ".wire-label{\n",
       "    color: var(--index-col);\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    padding-right: 5px;\n",
       "}\n",
       ".gate_top > .wire-label,\n",
       ".gate_bottom > .wire-label {\n",
       "    padding-top: 0;\n",
       "}\n",
       ".nested-label-layer{\n",
       "    background: var(--box-col);\n",
       "    padding: 0 5px;\n",
       "}\n",
       ".nested-label-layer .wire-label{\n",
       "    padding: 10px 0;\n",
       "}\n",
       "\n",
       "/* Multi-qubit gates */\n",
       ".gate_bottom{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-bottom: 10px;\n",
       "    padding-bottom: 0;\n",
       "    border-bottom: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_top{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-top: 10px;\n",
       "    padding-top: 0;\n",
       "    border-top: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_name{\n",
       "    text-align: center;\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Single qubit gate*/\n",
       ".gate_box{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    margin: 10px;\n",
       "    padding: 0 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "/* Special gates */\n",
       ".gate_connection {\n",
       "    position: absolute;\n",
       "    top: -3px;\n",
       "    left: -1px;\n",
       "    border: none;\n",
       "    margin: calc(var(--box-height)/2) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "}\n",
       ".gate_swap {\n",
       "    height: 20px;\n",
       "    width: 20px;\n",
       "    margin: calc(var(--box-height)/2 - 6px) calc(50% - 9px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M60%200%20L32%2028%20L4%200%20L0%204%20L28%2032%20L0%2060%20L4%2064%20L32%2036%20L60%2064%20L64%2060%20L36%2032%20L64%204%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_measure {\n",
       "    height: 20px;\n",
       "    width: 25px;\n",
       "    margin: calc(var(--box-height)/2 - 10px) calc(50% - 11px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%27-10%20-10%2084%2084%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27white%27%0A%20%20stroke%3D%22black%22%0A%20%20stroke-width%3D%224px%22%0A%3E%0A%20%20%3Cpath%20d%3D%27M63%2C63%20C63%2C32%2048%2C16%2032%2C16%20C16%2C16%201%2C32%201%2C63%20L63%2C63%27%20/%3E%0A%20%20%3Cpath%20d%3D%22M32%2C63%20L56%2C16%22%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_control {\n",
       "    position: absolute;\n",
       "    top: 0;\n",
       "    left: 0;\n",
       "    border-radius: 50%;\n",
       "    width: 6px;\n",
       "    height: 6px;\n",
       "    margin: calc(var(--box-height)/2 - 3px) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    background: var(--box-col);\n",
       "}\n",
       ".gate_control.classical{\n",
       "    background: var(--c-wire-col);\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       ".control_index{\n",
       "    position: absolute;\n",
       "    right: calc(50% - 1em);\n",
       "    top: calc(50% - 1.4em);\n",
       "    color: var(--c-wire-col);\n",
       "    font-size: 0.8em;\n",
       "}\n",
       ".control_index.measure{\n",
       "    right: calc(50% - 1.2em);\n",
       "    top: calc(50% - 1.8em);\n",
       "    color: var(--index-col);\n",
       "}\n",
       ".gate_x {\n",
       "    top: -10px;\n",
       "    left: -6px;\n",
       "    border-radius: 50%;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 20px;\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M36%2064%20L36%2036%20L64%2036%20L64%2028%20L36%2028%20L36%200%20L28%200%20L28%2028%20L0%2028%20L0%2036%20L28%2036%20L28%2064%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-color: var(--box-col);\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_reset{\n",
       "    margin: 11px 10px;\n",
       "    padding: 0 0 0 10px;\n",
       "    border: none !important;\n",
       "    border-left: 2px solid var(--wire-col) !important;\n",
       "    background: transparent;\n",
       "}\n",
       ".gate_reset_spider{\n",
       "    width: calc(var(--box-height) - 24px);\n",
       "    height: calc(var(--box-height) - 24px);\n",
       "    background: var(--box-col);\n",
       "    border: 2px solid var(--wire-col);\n",
       "    border-radius: 50%;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       "\n",
       "/* Add wire sections coming in and out of the gate */\n",
       ".gate_in:before, .gate_in:after{\n",
       "    content: '';\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    top: calc(50% - 1px);\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 9px;\n",
       "    height: 0;\n",
       "    background: var(--wire-col);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".classical.gate_in:before,\n",
       ".classical.gate_in:after{\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       "\n",
       ".gate_in:before{\n",
       "    left: -12px;\n",
       "}\n",
       ".gate_out:after{\n",
       "    right: -12px;\n",
       "}\n",
       ".gate_top.gate_in:before, .gate_top.gate_out:after{\n",
       "    top:calc(50% - 6.5px)\n",
       "}\n",
       ".gate_bottom.gate_in:before, .gate_bottom.gate_out:after{\n",
       "    top:calc(50% + 4.5px)\n",
       "}\n",
       "\n",
       "\n",
       ".link-bottom, .link-top {\n",
       "    height: var(--box-height);\n",
       "    width: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    left: calc(50% - 1px);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".link-top{\n",
       "    top: calc(0px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom{\n",
       "    top: calc(var(--box-height)/2)\n",
       "}\n",
       ".half-link {\n",
       "    height: calc(var(--box-height) - 9px);\n",
       "}\n",
       ".half-link.link-bottom{\n",
       "    top: calc(var(--box-height)/2 + 11px)\n",
       "}\n",
       ".half-link.link-top{\n",
       "    top: calc(-2px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom.measurement{\n",
       "    width: 3px;\n",
       "    left: calc(50% - 0.5px);\n",
       "    border: none;\n",
       "    background: var(--c-wire-col);\n",
       "    height: calc(var(--box-height) + 2px);\n",
       "    z-index: 1;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "/* tool tips */\n",
       ".tool-tip-container{\n",
       "    margin: calc(0px - var(--box-height)) auto 0;\n",
       "    padding-top: var(--box-height);\n",
       "    position: relative;\n",
       "    bottom: 0;\n",
       "    left: 0;\n",
       "    right: 0;\n",
       "    height: 0;\n",
       "    z-index: 4;\n",
       "    width: fit-content;\n",
       "    overflow: hidden;\n",
       "}\n",
       ".tool-tip-container.no-js{\n",
       "    overflow: visible;\n",
       "}\n",
       ".tool-tip-container.no-js:hover{\n",
       "    z-index: 10;\n",
       "}\n",
       ".nested > .tool-tip-container{\n",
       "    position: absolute;\n",
       "    bottom: -10px;\n",
       "}\n",
       ".tool-tip{\n",
       "    visibility: hidden;\n",
       "    opacity: 0;\n",
       "    -webkit-transition: visibility 0.2s, opacity 0.2s;\n",
       "    -moz-transition: visibility 0.2s, opacity 0.2s;\n",
       "    transition: visibility 0.2s, opacity 0.2s;\n",
       "    max-width: 250px;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip{\n",
       "    visibility: visible;\n",
       "    opacity: 1;\n",
       "}\n",
       ".tool-tip-content{\n",
       "    background: var(--main-bg);\n",
       "    margin: 0 auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    max-width: 100%;\n",
       "}\n",
       ".no-js > .tool-tip > .tool-tip-content{\n",
       "    height: auto;\n",
       "    padding: 20px;\n",
       "    margin: 0 auto;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip > .tool-tip-content,\n",
       ".no-js > tool-tip > .tool-tip-content:hover{\n",
       "    box-shadow: 0 -5px 20px 5px var(--faint-col-overlay);\n",
       "}\n",
       ".tool-tip:after{\n",
       "    content: \" \";\n",
       "    position: absolute;\n",
       "    bottom: 0;\n",
       "    left: 50%;\n",
       "    margin-left: -5px;\n",
       "    border-width: 5px;\n",
       "    border-style: solid;\n",
       "    border-color: transparent transparent var(--main-bg) transparent;\n",
       "}\n",
       ".tool-tip .complex-number{\n",
       "    padding: 4px;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested{\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "}\n",
       ".nested-label-layer.as-height{\n",
       "    padding: 0;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested > .nested-circuit-container,\n",
       ".circuit-preview.condensed > .nested-circuit-container{\n",
       "    background: transparent;\n",
       "    border: none;\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "    max-width: unset;\n",
       "}\n",
       "\n",
       "/* Tool-tip modal */\n",
       ".circuit-grid{\n",
       "    display: flex;\n",
       "    flex-direction: row-reverse;\n",
       "    align-items: stretch;\n",
       "    align-content: stretch;\n",
       "}\n",
       ".circuit-grid-circuit{\n",
       "    flex: 1 1 auto;\n",
       "    margin-top: 30px;\n",
       "    overflow: auto;\n",
       "    max-height: inherit;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "/*  FOR DISPLAYING CHARTS  */\n",
       "table{\n",
       "    border-collapse: collapse;\n",
       "}\n",
       ".table-container{\n",
       "    margin: auto;\n",
       "}\n",
       ".bar-chart-container{\n",
       "    min-width: 300px;\n",
       "    width: 60%;\n",
       "}\n",
       ".square-chart-container{\n",
       "    width: auto;\n",
       "    min-width: 0;\n",
       "    overflow: hidden;\n",
       "}\n",
       "\n",
       "/* Make sure we can see the rightmost border */\n",
       ".square-chart-container tbody{\n",
       "    position: relative;\n",
       "    left: -1px;\n",
       "    display: block;\n",
       "}\n",
       "thead > tr{\n",
       "    background: transparent !important;\n",
       "}\n",
       "tr:hover, tr {\n",
       "    background: initial !important;\n",
       "}\n",
       "\n",
       "td, th{\n",
       "    padding: 10px;\n",
       "    position: relative;\n",
       "}\n",
       "\n",
       "/* COMPLEX NUMBERS AND MATRICES */\n",
       ".complex-number{\n",
       "    padding: 10px;\n",
       "}\n",
       ".mid-number{\n",
       "    padding: 5px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".large-number{\n",
       "    padding: 2px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".matrix_container{\n",
       "    border: 2px solid var(--mid-col);\n",
       "    border-top: 0;\n",
       "    border-bottom: 0;\n",
       "    margin: auto !important;\n",
       "    border-collapse: collapse;\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "\n",
       "/* LIST RESULTS NICELY */\n",
       ".list{\n",
       "    flex-wrap: wrap;\n",
       "    justify-content: space-evenly;\n",
       "    align-items: stretch;\n",
       "    padding: 0;\n",
       "}\n",
       ".list > *{\n",
       "    margin: 10px;\n",
       "}\n",
       ".list > .row-sub-heading{\n",
       "    margin: 10px 0;\n",
       "}\n",
       "</style>\n",
       "\n",
       "</head>\n",
       "<body>\n",
       "    <div class=\"row circuit-grid circuit__preview-body\">\n",
       "        <div class=\"circuit-grid-circuit thin-scrollbar\"  style=\"\">\n",
       "            \n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "    <div class=\"circuit-preview circuit_variables condensed\">\n",
       "        \n",
       "            \n",
       "            <div class=\"nested-label-layer as-height\">\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "            </div>\n",
       "            <div class=\"nested-circuit-container\"><div class=\"circuit-inner-scroll\">\n",
       "        \n",
       "        <div class=\"circuit-container nested\">\n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">q[0]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[1]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[2]</div>\n",
       "        \n",
       "        \n",
       "    </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container h\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">H</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(0.5)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        <div class=\"gate_container\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "            <div class=\"gate gate_connection \"></div>\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(0.25)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
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       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container h\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">H</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
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       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
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       "                    \n",
       "                        \n",
       "                            \n",
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       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
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       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(0.5)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
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       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container h\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">H</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
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       "                    \n",
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       "        \n",
       "            <div class=\"gate_container\">\n",
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       "        \n",
       "        <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        <div class=\"gate gate_connection gate_swap\"></div>\n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        \n",
       "            <div class=\"link-bottom\"></div>\n",
       "        \n",
       "        \n",
       "        <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        <div class=\"gate gate_connection \"></div>\n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        \n",
       "        \n",
       "        <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        <div class=\"gate gate_connection gate_swap\"></div>\n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">q[0]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[1]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[2]</div>\n",
       "        \n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        \n",
       "            </div></div>\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "\n",
       "\n",
       "        </div>\n",
       "    </div>\n",
       "</body>\n",
       "</html>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "qft_circ=Circuit(3)\n",
    "\n",
    "qft_circ.H(0)\n",
    "qft_circ.CRz(0.5, 0, 1)\n",
    "qft_circ.CRz(0.25, 0, 2)\n",
    "\n",
    "qft_circ.H(1)\n",
    "qft_circ.CRz(0.5, 1, 2)\n",
    "\n",
    "qft_circ.H(2)\n",
    "\n",
    "qft_circ.SWAP(0,2)\n",
    "\n",
    "render_circuit_jupyter(qft_circ)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "specified-perfume",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{<OpType.Rz: 32>, <OpType.U3: 33>, <OpType.U2: 34>, <OpType.U1: 35>, <OpType.CX: 37>, <OpType.X: 19>, <OpType.noop: 55>, <OpType.Measure: 56>, <OpType.Reset: 58>, <OpType.SX: 27>}\n"
     ]
    }
   ],
   "source": [
    "from pytket.extensions.qiskit import IBMQBackend\n",
    "dev_b = IBMQBackend(\"ibmq_belem\")\n",
    "print(dev_b.backend_info.gate_set)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "supreme-hungary",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
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       " viewBox=\"0.00 0.00 128.48 118.68\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
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       "<title>Qubit connectivity</title>\n",
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       "<title>q[0]</title>\n",
       "<ellipse fill=\"none\" stroke=\"blue\" cx=\"24.14\" cy=\"-86.07\" rx=\"24.27\" ry=\"24.27\"/>\n",
       "<text text-anchor=\"middle\" x=\"24.14\" y=\"-83.57\" font-family=\"Courier,monospace\" font-size=\"10.00\">q[0]</text>\n",
       "</g>\n",
       "<!-- q[1] -->\n",
       "<g id=\"node2\" class=\"node\">\n",
       "<title>q[1]</title>\n",
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       "<text text-anchor=\"middle\" x=\"96.34\" y=\"-84.04\" font-family=\"Courier,monospace\" font-size=\"10.00\">q[1]</text>\n",
       "</g>\n",
       "<!-- q[0]&#45;&#45;q[1] -->\n",
       "<g id=\"edge1\" class=\"edge\">\n",
       "<title>q[0]&#45;&#45;q[1]</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M48.58,-86.23C56.11,-86.28 64.39,-86.33 71.92,-86.38\"/>\n",
       "</g>\n",
       "<!-- q[2] -->\n",
       "<g id=\"node3\" class=\"node\">\n",
       "<title>q[2]</title>\n",
       "<ellipse fill=\"none\" stroke=\"blue\" cx=\"60.73\" cy=\"-24.14\" rx=\"24.27\" ry=\"24.27\"/>\n",
       "<text text-anchor=\"middle\" x=\"60.73\" y=\"-21.64\" font-family=\"Courier,monospace\" font-size=\"10.00\">q[2]</text>\n",
       "</g>\n",
       "<!-- q[0]&#45;&#45;q[2] -->\n",
       "<g id=\"edge2\" class=\"edge\">\n",
       "<title>q[0]&#45;&#45;q[2]</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M36.52,-65.1C40.34,-58.64 44.54,-51.54 48.35,-45.08\"/>\n",
       "</g>\n",
       "<!-- q[1]&#45;&#45;q[2] -->\n",
       "<g id=\"edge3\" class=\"edge\">\n",
       "<title>q[1]&#45;&#45;q[2]</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M84.28,-65.41C80.57,-58.91 76.48,-51.75 72.77,-45.24\"/>\n",
       "</g>\n",
       "</g>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<graphviz.dot.Graph at 0x7fea3d8f26d0>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from pytket.utils import Graph\n",
    "Graph(qft_circ).get_qubit_graph()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "sought-maryland",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 144x144 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "G = nx.Graph(dev_b.backend_info.architecture.coupling)\n",
    "plt.figure(figsize=(2,2))\n",
    "nx.draw(G)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "modified-blank",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "<!DOCTYPE html>\n",
       "<html lang=\"en\">\n",
       "<head>\n",
       "    <meta charset=\"UTF-8\">\n",
       "    \n",
       "<style>\n",
       "body, .circuit__preview-body {\n",
       "    font-family: \"roboto\", system-ui, sans-serif;\n",
       "    --accent-col: green;\n",
       "    --accent-col-fill: darkseagreen;\n",
       "    --accent-col-alt: #aca;\n",
       "    --accent-col-emph: limegreen;\n",
       "    --accent-col-overlay: rgba(130,255,140,0.2);\n",
       "    --accent-col-outline: rgba(30, 250, 30,0.2);\n",
       "    --main-col: black;\n",
       "    --mid-col: #bbb;\n",
       "    --faint-col: #eee;\n",
       "    --faint-col-overlay: rgba(0, 0, 0, 0.05);\n",
       "    --main-bg: white;\n",
       "}\n",
       "\n",
       ".row{\n",
       "    display: flex;\n",
       "    flex-wrap: wrap;\n",
       "    align-items: center;\n",
       "    padding: 10px;\n",
       "    border-bottom: 1px solid var(--faint-col);\n",
       "    position: relative;\n",
       "}\n",
       ".row-item{\n",
       "    flex-grow: 1\n",
       "}\n",
       ".row-item-l{\n",
       "    text-align: left;\n",
       "}\n",
       ".row-item-r{\n",
       "    text-align: right;\n",
       "}\n",
       ".row-sub-heading{\n",
       "    border-color: var(--accent-col-emph);\n",
       "}\n",
       "\n",
       "/* FOR DISPLAYING CIRCUITS */\n",
       "/* Main preview container */\n",
       ".circuit-preview {\n",
       "    width: 100%;\n",
       "    height: 100%;\n",
       "    text-align: center;\n",
       "    color: black;\n",
       "}\n",
       ".circuit_variables {\n",
       "    /* Define some variables */\n",
       "    --box-height: 40px;\n",
       "    --wire-col: black;\n",
       "    --c-wire-col: #bbb;\n",
       "    --box-col: #ccc;\n",
       "    --box-col-overlay: rgba(0,0,0,0.05);\n",
       "    --c-box-col: #ddd;\n",
       "    --index-col: #888;\n",
       "}\n",
       ".circuit-preview.condensed{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       "\n",
       "/* Box colours */\n",
       ".h {\n",
       "    --box-col: #ffee00;\n",
       "    --box-col-overlay: rgba(255, 255, 0, 0.2);\n",
       "    --c-box-col: #ffee88;\n",
       "    --index-col: #ffcc00;\n",
       "}\n",
       ".x {\n",
       "    --box-col: #ff8888;\n",
       "    --box-col-overlay: rgba(255, 0, 0, 0.2);\n",
       "    --c-box-col: #e8a6a6;\n",
       "    --index-col: red;\n",
       "}\n",
       ".y {\n",
       "    --box-col: #6699ff;\n",
       "    --box-col-overlay: rgba(0, 0, 255, 0.2);\n",
       "    --c-box-col: #86c6f6;\n",
       "    --index-col: blue;\n",
       "}\n",
       ".z {\n",
       "    --box-col: #ccffcc;\n",
       "    --box-col-overlay: rgba(0, 255, 0, 0.2);\n",
       "    --c-box-col: #e2ffe2;\n",
       "    --index-col: green;\n",
       "}\n",
       "\n",
       ".circuit-container{\n",
       "    max-width: 100%;\n",
       "    display: flex;\n",
       "    flex-flow: row wrap;\n",
       "    justify-content: center;\n",
       "    align-content: flex-start;\n",
       "    margin: auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    background: rgba(255, 255, 255, 1);\n",
       "}\n",
       ".circuit-preview.condensed > .circuit-container{\n",
       "    flex-wrap: nowrap;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".circuit-container.nested{\n",
       "    position: relative;\n",
       "    flex-wrap: nowrap;\n",
       "    margin: -2px 0;\n",
       "}\n",
       ".nested-circuit-container{\n",
       "    display: flex;\n",
       "    overflow: auto;\n",
       "    max-width: 400px;\n",
       "    background: var(--box-col-overlay);\n",
       "    border: 1px solid var(--box-col);\n",
       "}\n",
       ".nested-circuit-container::-webkit-scrollbar {\n",
       "    height: 0;\n",
       "    width: 0;\n",
       "}\n",
       ".circuit-inner-scroll{\n",
       "    overflow: visible;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    margin: auto;\n",
       "    margin-top: 2px;\n",
       "}\n",
       ".circuit-end{\n",
       "    width: 2px;\n",
       "    height: auto;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0 calc(var(--box-height)/2 + 20px);\n",
       "}\n",
       ".circuit-layer{\n",
       "    min-width: 40px;\n",
       "    width: max-content;\n",
       "    display: flex;\n",
       "    flex-flow: column nowrap;\n",
       "    flex-grow: 1;\n",
       "    justify-content: space-between;\n",
       "    align-items: stretch;\n",
       "    margin-bottom: 20px;\n",
       "}\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-child(2),\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-last-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-last-child(2),\n",
       ".gate_container.nested > .circuit-layer:first-child,\n",
       ".gate_container.nested > .circuit-layer:last-child{\n",
       "    min-width: 10px;\n",
       "}\n",
       ".nested .circuit-layer{\n",
       "    margin-bottom: 0;\n",
       "}\n",
       ".flex_wire{\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Display qubit names at start of circuit */\n",
       ".circuit-layer.qubits{\n",
       "    flex-grow: 0;\n",
       "    color: var(--wire-col);\n",
       "}\n",
       ".qubit{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    padding: 10px;\n",
       "    text-align: center;\n",
       "    font-family: monospace;\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".wire{\n",
       "    height: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0;\n",
       "}\n",
       ".wire.classical{\n",
       "    border-color: var(--c-wire-col) !important;\n",
       "    background: var(--c-wire-col) !important;\n",
       "}\n",
       ".wire.transparent-wire{\n",
       "    border-color: transparent;\n",
       "    background: transparent;\n",
       "}\n",
       "\n",
       "/* Generic base for our gates */\n",
       ".gate_container{\n",
       "    position: relative;\n",
       "    min-width: -moz-fit-content;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".gate_container.nested{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container.nested:after{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container .classical{\n",
       "    background: var(--c-box-col);\n",
       "    border-color: var(--index-col);\n",
       "}\n",
       ".gate{\n",
       "    position: relative;\n",
       "    height: calc(var(--box-height) - 16px);\n",
       "    margin: 0 9px;\n",
       "    padding: 9px 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    border-bottom: none;\n",
       "    border-top: none;\n",
       "    text-align: left;\n",
       "    background: var(--box-col);\n",
       "    display: flex;\n",
       "    box-sizing: content-box;\n",
       "    z-index: 1;\n",
       "}\n",
       ".wire-label{\n",
       "    color: var(--index-col);\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    padding-right: 5px;\n",
       "}\n",
       ".gate_top > .wire-label,\n",
       ".gate_bottom > .wire-label {\n",
       "    padding-top: 0;\n",
       "}\n",
       ".nested-label-layer{\n",
       "    background: var(--box-col);\n",
       "    padding: 0 5px;\n",
       "}\n",
       ".nested-label-layer .wire-label{\n",
       "    padding: 10px 0;\n",
       "}\n",
       "\n",
       "/* Multi-qubit gates */\n",
       ".gate_bottom{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-bottom: 10px;\n",
       "    padding-bottom: 0;\n",
       "    border-bottom: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_top{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-top: 10px;\n",
       "    padding-top: 0;\n",
       "    border-top: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_name{\n",
       "    text-align: center;\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Single qubit gate*/\n",
       ".gate_box{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    margin: 10px;\n",
       "    padding: 0 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "/* Special gates */\n",
       ".gate_connection {\n",
       "    position: absolute;\n",
       "    top: -3px;\n",
       "    left: -1px;\n",
       "    border: none;\n",
       "    margin: calc(var(--box-height)/2) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "}\n",
       ".gate_swap {\n",
       "    height: 20px;\n",
       "    width: 20px;\n",
       "    margin: calc(var(--box-height)/2 - 6px) calc(50% - 9px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M60%200%20L32%2028%20L4%200%20L0%204%20L28%2032%20L0%2060%20L4%2064%20L32%2036%20L60%2064%20L64%2060%20L36%2032%20L64%204%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_measure {\n",
       "    height: 20px;\n",
       "    width: 25px;\n",
       "    margin: calc(var(--box-height)/2 - 10px) calc(50% - 11px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%27-10%20-10%2084%2084%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27white%27%0A%20%20stroke%3D%22black%22%0A%20%20stroke-width%3D%224px%22%0A%3E%0A%20%20%3Cpath%20d%3D%27M63%2C63%20C63%2C32%2048%2C16%2032%2C16%20C16%2C16%201%2C32%201%2C63%20L63%2C63%27%20/%3E%0A%20%20%3Cpath%20d%3D%22M32%2C63%20L56%2C16%22%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_control {\n",
       "    position: absolute;\n",
       "    top: 0;\n",
       "    left: 0;\n",
       "    border-radius: 50%;\n",
       "    width: 6px;\n",
       "    height: 6px;\n",
       "    margin: calc(var(--box-height)/2 - 3px) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    background: var(--box-col);\n",
       "}\n",
       ".gate_control.classical{\n",
       "    background: var(--c-wire-col);\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       ".control_index{\n",
       "    position: absolute;\n",
       "    right: calc(50% - 1em);\n",
       "    top: calc(50% - 1.4em);\n",
       "    color: var(--c-wire-col);\n",
       "    font-size: 0.8em;\n",
       "}\n",
       ".control_index.measure{\n",
       "    right: calc(50% - 1.2em);\n",
       "    top: calc(50% - 1.8em);\n",
       "    color: var(--index-col);\n",
       "}\n",
       ".gate_x {\n",
       "    top: -10px;\n",
       "    left: -6px;\n",
       "    border-radius: 50%;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 20px;\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M36%2064%20L36%2036%20L64%2036%20L64%2028%20L36%2028%20L36%200%20L28%200%20L28%2028%20L0%2028%20L0%2036%20L28%2036%20L28%2064%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-color: var(--box-col);\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_reset{\n",
       "    margin: 11px 10px;\n",
       "    padding: 0 0 0 10px;\n",
       "    border: none !important;\n",
       "    border-left: 2px solid var(--wire-col) !important;\n",
       "    background: transparent;\n",
       "}\n",
       ".gate_reset_spider{\n",
       "    width: calc(var(--box-height) - 24px);\n",
       "    height: calc(var(--box-height) - 24px);\n",
       "    background: var(--box-col);\n",
       "    border: 2px solid var(--wire-col);\n",
       "    border-radius: 50%;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       "\n",
       "/* Add wire sections coming in and out of the gate */\n",
       ".gate_in:before, .gate_in:after{\n",
       "    content: '';\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    top: calc(50% - 1px);\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 9px;\n",
       "    height: 0;\n",
       "    background: var(--wire-col);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".classical.gate_in:before,\n",
       ".classical.gate_in:after{\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       "\n",
       ".gate_in:before{\n",
       "    left: -12px;\n",
       "}\n",
       ".gate_out:after{\n",
       "    right: -12px;\n",
       "}\n",
       ".gate_top.gate_in:before, .gate_top.gate_out:after{\n",
       "    top:calc(50% - 6.5px)\n",
       "}\n",
       ".gate_bottom.gate_in:before, .gate_bottom.gate_out:after{\n",
       "    top:calc(50% + 4.5px)\n",
       "}\n",
       "\n",
       "\n",
       ".link-bottom, .link-top {\n",
       "    height: var(--box-height);\n",
       "    width: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    left: calc(50% - 1px);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".link-top{\n",
       "    top: calc(0px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom{\n",
       "    top: calc(var(--box-height)/2)\n",
       "}\n",
       ".half-link {\n",
       "    height: calc(var(--box-height) - 9px);\n",
       "}\n",
       ".half-link.link-bottom{\n",
       "    top: calc(var(--box-height)/2 + 11px)\n",
       "}\n",
       ".half-link.link-top{\n",
       "    top: calc(-2px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom.measurement{\n",
       "    width: 3px;\n",
       "    left: calc(50% - 0.5px);\n",
       "    border: none;\n",
       "    background: var(--c-wire-col);\n",
       "    height: calc(var(--box-height) + 2px);\n",
       "    z-index: 1;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "/* tool tips */\n",
       ".tool-tip-container{\n",
       "    margin: calc(0px - var(--box-height)) auto 0;\n",
       "    padding-top: var(--box-height);\n",
       "    position: relative;\n",
       "    bottom: 0;\n",
       "    left: 0;\n",
       "    right: 0;\n",
       "    height: 0;\n",
       "    z-index: 4;\n",
       "    width: fit-content;\n",
       "    overflow: hidden;\n",
       "}\n",
       ".tool-tip-container.no-js{\n",
       "    overflow: visible;\n",
       "}\n",
       ".tool-tip-container.no-js:hover{\n",
       "    z-index: 10;\n",
       "}\n",
       ".nested > .tool-tip-container{\n",
       "    position: absolute;\n",
       "    bottom: -10px;\n",
       "}\n",
       ".tool-tip{\n",
       "    visibility: hidden;\n",
       "    opacity: 0;\n",
       "    -webkit-transition: visibility 0.2s, opacity 0.2s;\n",
       "    -moz-transition: visibility 0.2s, opacity 0.2s;\n",
       "    transition: visibility 0.2s, opacity 0.2s;\n",
       "    max-width: 250px;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip{\n",
       "    visibility: visible;\n",
       "    opacity: 1;\n",
       "}\n",
       ".tool-tip-content{\n",
       "    background: var(--main-bg);\n",
       "    margin: 0 auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    max-width: 100%;\n",
       "}\n",
       ".no-js > .tool-tip > .tool-tip-content{\n",
       "    height: auto;\n",
       "    padding: 20px;\n",
       "    margin: 0 auto;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip > .tool-tip-content,\n",
       ".no-js > tool-tip > .tool-tip-content:hover{\n",
       "    box-shadow: 0 -5px 20px 5px var(--faint-col-overlay);\n",
       "}\n",
       ".tool-tip:after{\n",
       "    content: \" \";\n",
       "    position: absolute;\n",
       "    bottom: 0;\n",
       "    left: 50%;\n",
       "    margin-left: -5px;\n",
       "    border-width: 5px;\n",
       "    border-style: solid;\n",
       "    border-color: transparent transparent var(--main-bg) transparent;\n",
       "}\n",
       ".tool-tip .complex-number{\n",
       "    padding: 4px;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested{\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "}\n",
       ".nested-label-layer.as-height{\n",
       "    padding: 0;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested > .nested-circuit-container,\n",
       ".circuit-preview.condensed > .nested-circuit-container{\n",
       "    background: transparent;\n",
       "    border: none;\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "    max-width: unset;\n",
       "}\n",
       "\n",
       "/* Tool-tip modal */\n",
       ".circuit-grid{\n",
       "    display: flex;\n",
       "    flex-direction: row-reverse;\n",
       "    align-items: stretch;\n",
       "    align-content: stretch;\n",
       "}\n",
       ".circuit-grid-circuit{\n",
       "    flex: 1 1 auto;\n",
       "    margin-top: 30px;\n",
       "    overflow: auto;\n",
       "    max-height: inherit;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "/*  FOR DISPLAYING CHARTS  */\n",
       "table{\n",
       "    border-collapse: collapse;\n",
       "}\n",
       ".table-container{\n",
       "    margin: auto;\n",
       "}\n",
       ".bar-chart-container{\n",
       "    min-width: 300px;\n",
       "    width: 60%;\n",
       "}\n",
       ".square-chart-container{\n",
       "    width: auto;\n",
       "    min-width: 0;\n",
       "    overflow: hidden;\n",
       "}\n",
       "\n",
       "/* Make sure we can see the rightmost border */\n",
       ".square-chart-container tbody{\n",
       "    position: relative;\n",
       "    left: -1px;\n",
       "    display: block;\n",
       "}\n",
       "thead > tr{\n",
       "    background: transparent !important;\n",
       "}\n",
       "tr:hover, tr {\n",
       "    background: initial !important;\n",
       "}\n",
       "\n",
       "td, th{\n",
       "    padding: 10px;\n",
       "    position: relative;\n",
       "}\n",
       "\n",
       "/* COMPLEX NUMBERS AND MATRICES */\n",
       ".complex-number{\n",
       "    padding: 10px;\n",
       "}\n",
       ".mid-number{\n",
       "    padding: 5px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".large-number{\n",
       "    padding: 2px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".matrix_container{\n",
       "    border: 2px solid var(--mid-col);\n",
       "    border-top: 0;\n",
       "    border-bottom: 0;\n",
       "    margin: auto !important;\n",
       "    border-collapse: collapse;\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "\n",
       "/* LIST RESULTS NICELY */\n",
       ".list{\n",
       "    flex-wrap: wrap;\n",
       "    justify-content: space-evenly;\n",
       "    align-items: stretch;\n",
       "    padding: 0;\n",
       "}\n",
       ".list > *{\n",
       "    margin: 10px;\n",
       "}\n",
       ".list > .row-sub-heading{\n",
       "    margin: 10px 0;\n",
       "}\n",
       "</style>\n",
       "\n",
       "</head>\n",
       "<body>\n",
       "    <div class=\"row circuit-grid circuit__preview-body\">\n",
       "        <div class=\"circuit-grid-circuit thin-scrollbar\"  style=\"\">\n",
       "            \n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "    <div class=\"circuit-preview circuit_variables condensed\">\n",
       "        \n",
       "            \n",
       "            <div class=\"nested-label-layer as-height\">\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "            </div>\n",
       "            <div class=\"nested-circuit-container\"><div class=\"circuit-inner-scroll\">\n",
       "        \n",
       "        <div class=\"circuit-container nested\">\n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">node[1]</div>\n",
       "        \n",
       "            <div class=\"qubit\">node[2]</div>\n",
       "        \n",
       "            <div class=\"qubit\">node[3]</div>\n",
       "        \n",
       "        \n",
       "    </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">SX</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(0.5)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">SX</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        <div class=\"gate_container\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "            <div class=\"gate gate_connection \"></div>\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(3.75)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        <div class=\"gate_container\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "            <div class=\"gate gate_connection \"></div>\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">SX</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(3.875)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(0.5)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">SX</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(0.25)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "                    <div class=\"link-top\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        <div class=\"gate_container\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "            <div class=\"gate gate_connection \"></div>\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "                    <div class=\"link-top\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(3.75)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        <div class=\"gate_container\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "            <div class=\"gate gate_connection \"></div>\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "                    <div class=\"link-top\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">SX</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(0.5)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">SX</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "                    <div class=\"link-top\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "                    <div class=\"link-top\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">node[1]</div>\n",
       "        \n",
       "            <div class=\"qubit\">node[2]</div>\n",
       "        \n",
       "            <div class=\"qubit\">node[3]</div>\n",
       "        \n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        \n",
       "            </div></div>\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "\n",
       "\n",
       "        </div>\n",
       "    </div>\n",
       "</body>\n",
       "</html>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "compiled_qft_circ = dev_b.get_compiled_circuit(qft_circ)\n",
    "render_circuit_jupyter(compiled_qft_circ)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "universal-logan",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Gate set: {<OpType.Rz: 32>, <OpType.U3: 33>, <OpType.U2: 34>, <OpType.U1: 35>, <OpType.CX: 37>, <OpType.X: 19>, <OpType.noop: 55>, <OpType.Measure: 56>, <OpType.Reset: 58>, <OpType.SX: 27>}\n"
     ]
    }
   ],
   "source": [
    "print(\"Gate set:\", dev_b.backend_info.gate_set)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "unlimited-washington",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Generated by graphviz version 2.44.0 (20200408.0750)\n",
       " -->\n",
       "<!-- Title: Qubit connectivity Pages: 1 -->\n",
       "<svg width=\"146pt\" height=\"203pt\"\n",
       " viewBox=\"0.00 0.00 145.59 202.94\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "<g id=\"graph0\" class=\"graph\" transform=\"scale(1 1) rotate(0) translate(4 198.94)\">\n",
       "<title>Qubit connectivity</title>\n",
       "<polygon fill=\"white\" stroke=\"transparent\" points=\"-4,4 -4,-198.94 141.59,-198.94 141.59,4 -4,4\"/>\n",
       "<!-- node[3] -->\n",
       "<g id=\"node1\" class=\"node\">\n",
       "<title>node[3]</title>\n",
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       "<text text-anchor=\"middle\" x=\"34.73\" y=\"-157.71\" font-family=\"Courier,monospace\" font-size=\"10.00\">node[3]</text>\n",
       "</g>\n",
       "<!-- node[1] -->\n",
       "<g id=\"node2\" class=\"node\">\n",
       "<title>node[1]</title>\n",
       "<ellipse fill=\"none\" stroke=\"blue\" cx=\"78.75\" cy=\"-102.89\" rx=\"34.96\" ry=\"34.96\"/>\n",
       "<text text-anchor=\"middle\" x=\"78.75\" y=\"-100.39\" font-family=\"Courier,monospace\" font-size=\"10.00\">node[1]</text>\n",
       "</g>\n",
       "<!-- node[3]&#45;&#45;node[1] -->\n",
       "<g id=\"edge1\" class=\"edge\">\n",
       "<title>node[3]&#45;&#45;node[1]</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M55.97,-132.55C56.5,-131.87 57.02,-131.18 57.55,-130.49\"/>\n",
       "</g>\n",
       "<!-- node[2] -->\n",
       "<g id=\"node3\" class=\"node\">\n",
       "<title>node[2]</title>\n",
       "<ellipse fill=\"none\" stroke=\"blue\" cx=\"102.86\" cy=\"-34.73\" rx=\"34.96\" ry=\"34.96\"/>\n",
       "<text text-anchor=\"middle\" x=\"102.86\" y=\"-32.23\" font-family=\"Courier,monospace\" font-size=\"10.00\">node[2]</text>\n",
       "</g>\n",
       "<!-- node[1]&#45;&#45;node[2] -->\n",
       "<g id=\"edge2\" class=\"edge\">\n",
       "<title>node[1]&#45;&#45;node[2]</title>\n",
       "<path fill=\"none\" stroke=\"black\" d=\"M90.38,-70.01C90.67,-69.19 90.96,-68.37 91.25,-67.55\"/>\n",
       "</g>\n",
       "</g>\n",
       "</svg>\n"
      ],
      "text/plain": [
       "<graphviz.dot.Graph at 0x7fea3d90c4c0>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Graph(compiled_qft_circ).get_qubit_graph()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "interstate-appraisal",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 216x216 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G = nx.Graph(dev_b.backend_info.architecture.coupling)\n",
    "plt.figure(figsize=(3,3))\n",
    "nx.draw(G)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "higher-greek",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Importing, Exporting and Analysing Quantum Circuits\n",
    "\n",
    "Tket allows users to:\n",
    "- Export circuits to commonly accepted standard representations.\n",
    "- Seamlessly move between software packages.\n",
    "- Analyse circuits to gauge their complexity."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "thorough-rochester",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "OpenQASM is one of the current industry standards for low-level circuit description languages and is widely supported. It servers as a platform-independent method of storing circuits. Tket has bidirectional conversion support for QASM."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "killing-defensive",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
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       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "<!DOCTYPE html>\n",
       "<html lang=\"en\">\n",
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       "    font-family: \"roboto\", system-ui, sans-serif;\n",
       "    --accent-col: green;\n",
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       "    --main-col: black;\n",
       "    --mid-col: #bbb;\n",
       "    --faint-col: #eee;\n",
       "    --faint-col-overlay: rgba(0, 0, 0, 0.05);\n",
       "    --main-bg: white;\n",
       "}\n",
       "\n",
       ".row{\n",
       "    display: flex;\n",
       "    flex-wrap: wrap;\n",
       "    align-items: center;\n",
       "    padding: 10px;\n",
       "    border-bottom: 1px solid var(--faint-col);\n",
       "    position: relative;\n",
       "}\n",
       ".row-item{\n",
       "    flex-grow: 1\n",
       "}\n",
       ".row-item-l{\n",
       "    text-align: left;\n",
       "}\n",
       ".row-item-r{\n",
       "    text-align: right;\n",
       "}\n",
       ".row-sub-heading{\n",
       "    border-color: var(--accent-col-emph);\n",
       "}\n",
       "\n",
       "/* FOR DISPLAYING CIRCUITS */\n",
       "/* Main preview container */\n",
       ".circuit-preview {\n",
       "    width: 100%;\n",
       "    height: 100%;\n",
       "    text-align: center;\n",
       "    color: black;\n",
       "}\n",
       ".circuit_variables {\n",
       "    /* Define some variables */\n",
       "    --box-height: 40px;\n",
       "    --wire-col: black;\n",
       "    --c-wire-col: #bbb;\n",
       "    --box-col: #ccc;\n",
       "    --box-col-overlay: rgba(0,0,0,0.05);\n",
       "    --c-box-col: #ddd;\n",
       "    --index-col: #888;\n",
       "}\n",
       ".circuit-preview.condensed{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       "\n",
       "/* Box colours */\n",
       ".h {\n",
       "    --box-col: #ffee00;\n",
       "    --box-col-overlay: rgba(255, 255, 0, 0.2);\n",
       "    --c-box-col: #ffee88;\n",
       "    --index-col: #ffcc00;\n",
       "}\n",
       ".x {\n",
       "    --box-col: #ff8888;\n",
       "    --box-col-overlay: rgba(255, 0, 0, 0.2);\n",
       "    --c-box-col: #e8a6a6;\n",
       "    --index-col: red;\n",
       "}\n",
       ".y {\n",
       "    --box-col: #6699ff;\n",
       "    --box-col-overlay: rgba(0, 0, 255, 0.2);\n",
       "    --c-box-col: #86c6f6;\n",
       "    --index-col: blue;\n",
       "}\n",
       ".z {\n",
       "    --box-col: #ccffcc;\n",
       "    --box-col-overlay: rgba(0, 255, 0, 0.2);\n",
       "    --c-box-col: #e2ffe2;\n",
       "    --index-col: green;\n",
       "}\n",
       "\n",
       ".circuit-container{\n",
       "    max-width: 100%;\n",
       "    display: flex;\n",
       "    flex-flow: row wrap;\n",
       "    justify-content: center;\n",
       "    align-content: flex-start;\n",
       "    margin: auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    background: rgba(255, 255, 255, 1);\n",
       "}\n",
       ".circuit-preview.condensed > .circuit-container{\n",
       "    flex-wrap: nowrap;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".circuit-container.nested{\n",
       "    position: relative;\n",
       "    flex-wrap: nowrap;\n",
       "    margin: -2px 0;\n",
       "}\n",
       ".nested-circuit-container{\n",
       "    display: flex;\n",
       "    overflow: auto;\n",
       "    max-width: 400px;\n",
       "    background: var(--box-col-overlay);\n",
       "    border: 1px solid var(--box-col);\n",
       "}\n",
       ".nested-circuit-container::-webkit-scrollbar {\n",
       "    height: 0;\n",
       "    width: 0;\n",
       "}\n",
       ".circuit-inner-scroll{\n",
       "    overflow: visible;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    margin: auto;\n",
       "    margin-top: 2px;\n",
       "}\n",
       ".circuit-end{\n",
       "    width: 2px;\n",
       "    height: auto;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0 calc(var(--box-height)/2 + 20px);\n",
       "}\n",
       ".circuit-layer{\n",
       "    min-width: 40px;\n",
       "    width: max-content;\n",
       "    display: flex;\n",
       "    flex-flow: column nowrap;\n",
       "    flex-grow: 1;\n",
       "    justify-content: space-between;\n",
       "    align-items: stretch;\n",
       "    margin-bottom: 20px;\n",
       "}\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-child(2),\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-last-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-last-child(2),\n",
       ".gate_container.nested > .circuit-layer:first-child,\n",
       ".gate_container.nested > .circuit-layer:last-child{\n",
       "    min-width: 10px;\n",
       "}\n",
       ".nested .circuit-layer{\n",
       "    margin-bottom: 0;\n",
       "}\n",
       ".flex_wire{\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Display qubit names at start of circuit */\n",
       ".circuit-layer.qubits{\n",
       "    flex-grow: 0;\n",
       "    color: var(--wire-col);\n",
       "}\n",
       ".qubit{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    padding: 10px;\n",
       "    text-align: center;\n",
       "    font-family: monospace;\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".wire{\n",
       "    height: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0;\n",
       "}\n",
       ".wire.classical{\n",
       "    border-color: var(--c-wire-col) !important;\n",
       "    background: var(--c-wire-col) !important;\n",
       "}\n",
       ".wire.transparent-wire{\n",
       "    border-color: transparent;\n",
       "    background: transparent;\n",
       "}\n",
       "\n",
       "/* Generic base for our gates */\n",
       ".gate_container{\n",
       "    position: relative;\n",
       "    min-width: -moz-fit-content;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".gate_container.nested{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container.nested:after{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container .classical{\n",
       "    background: var(--c-box-col);\n",
       "    border-color: var(--index-col);\n",
       "}\n",
       ".gate{\n",
       "    position: relative;\n",
       "    height: calc(var(--box-height) - 16px);\n",
       "    margin: 0 9px;\n",
       "    padding: 9px 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    border-bottom: none;\n",
       "    border-top: none;\n",
       "    text-align: left;\n",
       "    background: var(--box-col);\n",
       "    display: flex;\n",
       "    box-sizing: content-box;\n",
       "    z-index: 1;\n",
       "}\n",
       ".wire-label{\n",
       "    color: var(--index-col);\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    padding-right: 5px;\n",
       "}\n",
       ".gate_top > .wire-label,\n",
       ".gate_bottom > .wire-label {\n",
       "    padding-top: 0;\n",
       "}\n",
       ".nested-label-layer{\n",
       "    background: var(--box-col);\n",
       "    padding: 0 5px;\n",
       "}\n",
       ".nested-label-layer .wire-label{\n",
       "    padding: 10px 0;\n",
       "}\n",
       "\n",
       "/* Multi-qubit gates */\n",
       ".gate_bottom{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-bottom: 10px;\n",
       "    padding-bottom: 0;\n",
       "    border-bottom: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_top{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-top: 10px;\n",
       "    padding-top: 0;\n",
       "    border-top: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_name{\n",
       "    text-align: center;\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Single qubit gate*/\n",
       ".gate_box{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    margin: 10px;\n",
       "    padding: 0 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "/* Special gates */\n",
       ".gate_connection {\n",
       "    position: absolute;\n",
       "    top: -3px;\n",
       "    left: -1px;\n",
       "    border: none;\n",
       "    margin: calc(var(--box-height)/2) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "}\n",
       ".gate_swap {\n",
       "    height: 20px;\n",
       "    width: 20px;\n",
       "    margin: calc(var(--box-height)/2 - 6px) calc(50% - 9px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M60%200%20L32%2028%20L4%200%20L0%204%20L28%2032%20L0%2060%20L4%2064%20L32%2036%20L60%2064%20L64%2060%20L36%2032%20L64%204%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_measure {\n",
       "    height: 20px;\n",
       "    width: 25px;\n",
       "    margin: calc(var(--box-height)/2 - 10px) calc(50% - 11px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%27-10%20-10%2084%2084%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27white%27%0A%20%20stroke%3D%22black%22%0A%20%20stroke-width%3D%224px%22%0A%3E%0A%20%20%3Cpath%20d%3D%27M63%2C63%20C63%2C32%2048%2C16%2032%2C16%20C16%2C16%201%2C32%201%2C63%20L63%2C63%27%20/%3E%0A%20%20%3Cpath%20d%3D%22M32%2C63%20L56%2C16%22%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_control {\n",
       "    position: absolute;\n",
       "    top: 0;\n",
       "    left: 0;\n",
       "    border-radius: 50%;\n",
       "    width: 6px;\n",
       "    height: 6px;\n",
       "    margin: calc(var(--box-height)/2 - 3px) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    background: var(--box-col);\n",
       "}\n",
       ".gate_control.classical{\n",
       "    background: var(--c-wire-col);\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       ".control_index{\n",
       "    position: absolute;\n",
       "    right: calc(50% - 1em);\n",
       "    top: calc(50% - 1.4em);\n",
       "    color: var(--c-wire-col);\n",
       "    font-size: 0.8em;\n",
       "}\n",
       ".control_index.measure{\n",
       "    right: calc(50% - 1.2em);\n",
       "    top: calc(50% - 1.8em);\n",
       "    color: var(--index-col);\n",
       "}\n",
       ".gate_x {\n",
       "    top: -10px;\n",
       "    left: -6px;\n",
       "    border-radius: 50%;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 20px;\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M36%2064%20L36%2036%20L64%2036%20L64%2028%20L36%2028%20L36%200%20L28%200%20L28%2028%20L0%2028%20L0%2036%20L28%2036%20L28%2064%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-color: var(--box-col);\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_reset{\n",
       "    margin: 11px 10px;\n",
       "    padding: 0 0 0 10px;\n",
       "    border: none !important;\n",
       "    border-left: 2px solid var(--wire-col) !important;\n",
       "    background: transparent;\n",
       "}\n",
       ".gate_reset_spider{\n",
       "    width: calc(var(--box-height) - 24px);\n",
       "    height: calc(var(--box-height) - 24px);\n",
       "    background: var(--box-col);\n",
       "    border: 2px solid var(--wire-col);\n",
       "    border-radius: 50%;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       "\n",
       "/* Add wire sections coming in and out of the gate */\n",
       ".gate_in:before, .gate_in:after{\n",
       "    content: '';\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    top: calc(50% - 1px);\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 9px;\n",
       "    height: 0;\n",
       "    background: var(--wire-col);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".classical.gate_in:before,\n",
       ".classical.gate_in:after{\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       "\n",
       ".gate_in:before{\n",
       "    left: -12px;\n",
       "}\n",
       ".gate_out:after{\n",
       "    right: -12px;\n",
       "}\n",
       ".gate_top.gate_in:before, .gate_top.gate_out:after{\n",
       "    top:calc(50% - 6.5px)\n",
       "}\n",
       ".gate_bottom.gate_in:before, .gate_bottom.gate_out:after{\n",
       "    top:calc(50% + 4.5px)\n",
       "}\n",
       "\n",
       "\n",
       ".link-bottom, .link-top {\n",
       "    height: var(--box-height);\n",
       "    width: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    left: calc(50% - 1px);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".link-top{\n",
       "    top: calc(0px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom{\n",
       "    top: calc(var(--box-height)/2)\n",
       "}\n",
       ".half-link {\n",
       "    height: calc(var(--box-height) - 9px);\n",
       "}\n",
       ".half-link.link-bottom{\n",
       "    top: calc(var(--box-height)/2 + 11px)\n",
       "}\n",
       ".half-link.link-top{\n",
       "    top: calc(-2px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom.measurement{\n",
       "    width: 3px;\n",
       "    left: calc(50% - 0.5px);\n",
       "    border: none;\n",
       "    background: var(--c-wire-col);\n",
       "    height: calc(var(--box-height) + 2px);\n",
       "    z-index: 1;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "/* tool tips */\n",
       ".tool-tip-container{\n",
       "    margin: calc(0px - var(--box-height)) auto 0;\n",
       "    padding-top: var(--box-height);\n",
       "    position: relative;\n",
       "    bottom: 0;\n",
       "    left: 0;\n",
       "    right: 0;\n",
       "    height: 0;\n",
       "    z-index: 4;\n",
       "    width: fit-content;\n",
       "    overflow: hidden;\n",
       "}\n",
       ".tool-tip-container.no-js{\n",
       "    overflow: visible;\n",
       "}\n",
       ".tool-tip-container.no-js:hover{\n",
       "    z-index: 10;\n",
       "}\n",
       ".nested > .tool-tip-container{\n",
       "    position: absolute;\n",
       "    bottom: -10px;\n",
       "}\n",
       ".tool-tip{\n",
       "    visibility: hidden;\n",
       "    opacity: 0;\n",
       "    -webkit-transition: visibility 0.2s, opacity 0.2s;\n",
       "    -moz-transition: visibility 0.2s, opacity 0.2s;\n",
       "    transition: visibility 0.2s, opacity 0.2s;\n",
       "    max-width: 250px;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip{\n",
       "    visibility: visible;\n",
       "    opacity: 1;\n",
       "}\n",
       ".tool-tip-content{\n",
       "    background: var(--main-bg);\n",
       "    margin: 0 auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    max-width: 100%;\n",
       "}\n",
       ".no-js > .tool-tip > .tool-tip-content{\n",
       "    height: auto;\n",
       "    padding: 20px;\n",
       "    margin: 0 auto;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip > .tool-tip-content,\n",
       ".no-js > tool-tip > .tool-tip-content:hover{\n",
       "    box-shadow: 0 -5px 20px 5px var(--faint-col-overlay);\n",
       "}\n",
       ".tool-tip:after{\n",
       "    content: \" \";\n",
       "    position: absolute;\n",
       "    bottom: 0;\n",
       "    left: 50%;\n",
       "    margin-left: -5px;\n",
       "    border-width: 5px;\n",
       "    border-style: solid;\n",
       "    border-color: transparent transparent var(--main-bg) transparent;\n",
       "}\n",
       ".tool-tip .complex-number{\n",
       "    padding: 4px;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested{\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "}\n",
       ".nested-label-layer.as-height{\n",
       "    padding: 0;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested > .nested-circuit-container,\n",
       ".circuit-preview.condensed > .nested-circuit-container{\n",
       "    background: transparent;\n",
       "    border: none;\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "    max-width: unset;\n",
       "}\n",
       "\n",
       "/* Tool-tip modal */\n",
       ".circuit-grid{\n",
       "    display: flex;\n",
       "    flex-direction: row-reverse;\n",
       "    align-items: stretch;\n",
       "    align-content: stretch;\n",
       "}\n",
       ".circuit-grid-circuit{\n",
       "    flex: 1 1 auto;\n",
       "    margin-top: 30px;\n",
       "    overflow: auto;\n",
       "    max-height: inherit;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "/*  FOR DISPLAYING CHARTS  */\n",
       "table{\n",
       "    border-collapse: collapse;\n",
       "}\n",
       ".table-container{\n",
       "    margin: auto;\n",
       "}\n",
       ".bar-chart-container{\n",
       "    min-width: 300px;\n",
       "    width: 60%;\n",
       "}\n",
       ".square-chart-container{\n",
       "    width: auto;\n",
       "    min-width: 0;\n",
       "    overflow: hidden;\n",
       "}\n",
       "\n",
       "/* Make sure we can see the rightmost border */\n",
       ".square-chart-container tbody{\n",
       "    position: relative;\n",
       "    left: -1px;\n",
       "    display: block;\n",
       "}\n",
       "thead > tr{\n",
       "    background: transparent !important;\n",
       "}\n",
       "tr:hover, tr {\n",
       "    background: initial !important;\n",
       "}\n",
       "\n",
       "td, th{\n",
       "    padding: 10px;\n",
       "    position: relative;\n",
       "}\n",
       "\n",
       "/* COMPLEX NUMBERS AND MATRICES */\n",
       ".complex-number{\n",
       "    padding: 10px;\n",
       "}\n",
       ".mid-number{\n",
       "    padding: 5px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".large-number{\n",
       "    padding: 2px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".matrix_container{\n",
       "    border: 2px solid var(--mid-col);\n",
       "    border-top: 0;\n",
       "    border-bottom: 0;\n",
       "    margin: auto !important;\n",
       "    border-collapse: collapse;\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "\n",
       "/* LIST RESULTS NICELY */\n",
       ".list{\n",
       "    flex-wrap: wrap;\n",
       "    justify-content: space-evenly;\n",
       "    align-items: stretch;\n",
       "    padding: 0;\n",
       "}\n",
       ".list > *{\n",
       "    margin: 10px;\n",
       "}\n",
       ".list > .row-sub-heading{\n",
       "    margin: 10px 0;\n",
       "}\n",
       "</style>\n",
       "\n",
       "</head>\n",
       "<body>\n",
       "    <div class=\"row circuit-grid circuit__preview-body\">\n",
       "        <div class=\"circuit-grid-circuit thin-scrollbar\"  style=\"\">\n",
       "            \n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "    <div class=\"circuit-preview circuit_variables condensed\">\n",
       "        \n",
       "            \n",
       "            <div class=\"nested-label-layer as-height\">\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "            </div>\n",
       "            <div class=\"nested-circuit-container\"><div class=\"circuit-inner-scroll\">\n",
       "        \n",
       "        <div class=\"circuit-container nested\">\n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">q[0]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[1]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[2]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[3]</div>\n",
       "        \n",
       "        \n",
       "    </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">T</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">T</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        <div class=\"gate_container\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "            <div class=\"gate gate_connection \"></div>\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Z</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        <div class=\"gate_container\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "            <div class=\"gate gate_connection \"></div>\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Z</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">T</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">q[0]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[1]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[2]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[3]</div>\n",
       "        \n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        \n",
       "            </div></div>\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "\n",
       "\n",
       "        </div>\n",
       "    </div>\n",
       "</body>\n",
       "</html>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pytket.qasm import circuit_from_qasm, circuit_to_qasm, circuit_to_qasm_str\n",
    "\n",
    "circ = circuit_from_qasm('example_circ.qasm')\n",
    "render_circuit_jupyter(circ)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "white-florence",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "OPENQASM 2.0;\n",
      "include \"qelib1.inc\";\n",
      "\n",
      "qreg q[4];\n",
      "t q[0];\n",
      "cx q[2],q[3];\n",
      "cx q[0],q[1];\n",
      "t q[3];\n",
      "cz q[0],q[2];\n",
      "cz q[1],q[3];\n",
      "t q[1];\n",
      "\n"
     ]
    }
   ],
   "source": [
    "print(circuit_to_qasm_str(circ))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "educational-canyon",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "Converters for other quantum software frameworks can optionally be included by installing the corresponding extension module. These are additional PyPI packages with names pytket-X.\n",
    "<p><center> <code> pip install pytket-qiskit </code> </center></p>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "macro-queensland",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 206.852x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit import QuantumCircuit\n",
    "\n",
    "qiskit_circ = QuantumCircuit(2, 2)\n",
    "\n",
    "qiskit_circ.h(0)\n",
    "qiskit_circ.cx(0, 1)\n",
    "\n",
    "qiskit_circ.draw(output='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "mineral-debut",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "<!DOCTYPE html>\n",
       "<html lang=\"en\">\n",
       "<head>\n",
       "    <meta charset=\"UTF-8\">\n",
       "    \n",
       "<style>\n",
       "body, .circuit__preview-body {\n",
       "    font-family: \"roboto\", system-ui, sans-serif;\n",
       "    --accent-col: green;\n",
       "    --accent-col-fill: darkseagreen;\n",
       "    --accent-col-alt: #aca;\n",
       "    --accent-col-emph: limegreen;\n",
       "    --accent-col-overlay: rgba(130,255,140,0.2);\n",
       "    --accent-col-outline: rgba(30, 250, 30,0.2);\n",
       "    --main-col: black;\n",
       "    --mid-col: #bbb;\n",
       "    --faint-col: #eee;\n",
       "    --faint-col-overlay: rgba(0, 0, 0, 0.05);\n",
       "    --main-bg: white;\n",
       "}\n",
       "\n",
       ".row{\n",
       "    display: flex;\n",
       "    flex-wrap: wrap;\n",
       "    align-items: center;\n",
       "    padding: 10px;\n",
       "    border-bottom: 1px solid var(--faint-col);\n",
       "    position: relative;\n",
       "}\n",
       ".row-item{\n",
       "    flex-grow: 1\n",
       "}\n",
       ".row-item-l{\n",
       "    text-align: left;\n",
       "}\n",
       ".row-item-r{\n",
       "    text-align: right;\n",
       "}\n",
       ".row-sub-heading{\n",
       "    border-color: var(--accent-col-emph);\n",
       "}\n",
       "\n",
       "/* FOR DISPLAYING CIRCUITS */\n",
       "/* Main preview container */\n",
       ".circuit-preview {\n",
       "    width: 100%;\n",
       "    height: 100%;\n",
       "    text-align: center;\n",
       "    color: black;\n",
       "}\n",
       ".circuit_variables {\n",
       "    /* Define some variables */\n",
       "    --box-height: 40px;\n",
       "    --wire-col: black;\n",
       "    --c-wire-col: #bbb;\n",
       "    --box-col: #ccc;\n",
       "    --box-col-overlay: rgba(0,0,0,0.05);\n",
       "    --c-box-col: #ddd;\n",
       "    --index-col: #888;\n",
       "}\n",
       ".circuit-preview.condensed{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       "\n",
       "/* Box colours */\n",
       ".h {\n",
       "    --box-col: #ffee00;\n",
       "    --box-col-overlay: rgba(255, 255, 0, 0.2);\n",
       "    --c-box-col: #ffee88;\n",
       "    --index-col: #ffcc00;\n",
       "}\n",
       ".x {\n",
       "    --box-col: #ff8888;\n",
       "    --box-col-overlay: rgba(255, 0, 0, 0.2);\n",
       "    --c-box-col: #e8a6a6;\n",
       "    --index-col: red;\n",
       "}\n",
       ".y {\n",
       "    --box-col: #6699ff;\n",
       "    --box-col-overlay: rgba(0, 0, 255, 0.2);\n",
       "    --c-box-col: #86c6f6;\n",
       "    --index-col: blue;\n",
       "}\n",
       ".z {\n",
       "    --box-col: #ccffcc;\n",
       "    --box-col-overlay: rgba(0, 255, 0, 0.2);\n",
       "    --c-box-col: #e2ffe2;\n",
       "    --index-col: green;\n",
       "}\n",
       "\n",
       ".circuit-container{\n",
       "    max-width: 100%;\n",
       "    display: flex;\n",
       "    flex-flow: row wrap;\n",
       "    justify-content: center;\n",
       "    align-content: flex-start;\n",
       "    margin: auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    background: rgba(255, 255, 255, 1);\n",
       "}\n",
       ".circuit-preview.condensed > .circuit-container{\n",
       "    flex-wrap: nowrap;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".circuit-container.nested{\n",
       "    position: relative;\n",
       "    flex-wrap: nowrap;\n",
       "    margin: -2px 0;\n",
       "}\n",
       ".nested-circuit-container{\n",
       "    display: flex;\n",
       "    overflow: auto;\n",
       "    max-width: 400px;\n",
       "    background: var(--box-col-overlay);\n",
       "    border: 1px solid var(--box-col);\n",
       "}\n",
       ".nested-circuit-container::-webkit-scrollbar {\n",
       "    height: 0;\n",
       "    width: 0;\n",
       "}\n",
       ".circuit-inner-scroll{\n",
       "    overflow: visible;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    margin: auto;\n",
       "    margin-top: 2px;\n",
       "}\n",
       ".circuit-end{\n",
       "    width: 2px;\n",
       "    height: auto;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0 calc(var(--box-height)/2 + 20px);\n",
       "}\n",
       ".circuit-layer{\n",
       "    min-width: 40px;\n",
       "    width: max-content;\n",
       "    display: flex;\n",
       "    flex-flow: column nowrap;\n",
       "    flex-grow: 1;\n",
       "    justify-content: space-between;\n",
       "    align-items: stretch;\n",
       "    margin-bottom: 20px;\n",
       "}\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-child(2),\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-last-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-last-child(2),\n",
       ".gate_container.nested > .circuit-layer:first-child,\n",
       ".gate_container.nested > .circuit-layer:last-child{\n",
       "    min-width: 10px;\n",
       "}\n",
       ".nested .circuit-layer{\n",
       "    margin-bottom: 0;\n",
       "}\n",
       ".flex_wire{\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Display qubit names at start of circuit */\n",
       ".circuit-layer.qubits{\n",
       "    flex-grow: 0;\n",
       "    color: var(--wire-col);\n",
       "}\n",
       ".qubit{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    padding: 10px;\n",
       "    text-align: center;\n",
       "    font-family: monospace;\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".wire{\n",
       "    height: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0;\n",
       "}\n",
       ".wire.classical{\n",
       "    border-color: var(--c-wire-col) !important;\n",
       "    background: var(--c-wire-col) !important;\n",
       "}\n",
       ".wire.transparent-wire{\n",
       "    border-color: transparent;\n",
       "    background: transparent;\n",
       "}\n",
       "\n",
       "/* Generic base for our gates */\n",
       ".gate_container{\n",
       "    position: relative;\n",
       "    min-width: -moz-fit-content;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".gate_container.nested{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container.nested:after{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container .classical{\n",
       "    background: var(--c-box-col);\n",
       "    border-color: var(--index-col);\n",
       "}\n",
       ".gate{\n",
       "    position: relative;\n",
       "    height: calc(var(--box-height) - 16px);\n",
       "    margin: 0 9px;\n",
       "    padding: 9px 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    border-bottom: none;\n",
       "    border-top: none;\n",
       "    text-align: left;\n",
       "    background: var(--box-col);\n",
       "    display: flex;\n",
       "    box-sizing: content-box;\n",
       "    z-index: 1;\n",
       "}\n",
       ".wire-label{\n",
       "    color: var(--index-col);\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    padding-right: 5px;\n",
       "}\n",
       ".gate_top > .wire-label,\n",
       ".gate_bottom > .wire-label {\n",
       "    padding-top: 0;\n",
       "}\n",
       ".nested-label-layer{\n",
       "    background: var(--box-col);\n",
       "    padding: 0 5px;\n",
       "}\n",
       ".nested-label-layer .wire-label{\n",
       "    padding: 10px 0;\n",
       "}\n",
       "\n",
       "/* Multi-qubit gates */\n",
       ".gate_bottom{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-bottom: 10px;\n",
       "    padding-bottom: 0;\n",
       "    border-bottom: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_top{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-top: 10px;\n",
       "    padding-top: 0;\n",
       "    border-top: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_name{\n",
       "    text-align: center;\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Single qubit gate*/\n",
       ".gate_box{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    margin: 10px;\n",
       "    padding: 0 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "/* Special gates */\n",
       ".gate_connection {\n",
       "    position: absolute;\n",
       "    top: -3px;\n",
       "    left: -1px;\n",
       "    border: none;\n",
       "    margin: calc(var(--box-height)/2) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "}\n",
       ".gate_swap {\n",
       "    height: 20px;\n",
       "    width: 20px;\n",
       "    margin: calc(var(--box-height)/2 - 6px) calc(50% - 9px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M60%200%20L32%2028%20L4%200%20L0%204%20L28%2032%20L0%2060%20L4%2064%20L32%2036%20L60%2064%20L64%2060%20L36%2032%20L64%204%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_measure {\n",
       "    height: 20px;\n",
       "    width: 25px;\n",
       "    margin: calc(var(--box-height)/2 - 10px) calc(50% - 11px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%27-10%20-10%2084%2084%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27white%27%0A%20%20stroke%3D%22black%22%0A%20%20stroke-width%3D%224px%22%0A%3E%0A%20%20%3Cpath%20d%3D%27M63%2C63%20C63%2C32%2048%2C16%2032%2C16%20C16%2C16%201%2C32%201%2C63%20L63%2C63%27%20/%3E%0A%20%20%3Cpath%20d%3D%22M32%2C63%20L56%2C16%22%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_control {\n",
       "    position: absolute;\n",
       "    top: 0;\n",
       "    left: 0;\n",
       "    border-radius: 50%;\n",
       "    width: 6px;\n",
       "    height: 6px;\n",
       "    margin: calc(var(--box-height)/2 - 3px) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    background: var(--box-col);\n",
       "}\n",
       ".gate_control.classical{\n",
       "    background: var(--c-wire-col);\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       ".control_index{\n",
       "    position: absolute;\n",
       "    right: calc(50% - 1em);\n",
       "    top: calc(50% - 1.4em);\n",
       "    color: var(--c-wire-col);\n",
       "    font-size: 0.8em;\n",
       "}\n",
       ".control_index.measure{\n",
       "    right: calc(50% - 1.2em);\n",
       "    top: calc(50% - 1.8em);\n",
       "    color: var(--index-col);\n",
       "}\n",
       ".gate_x {\n",
       "    top: -10px;\n",
       "    left: -6px;\n",
       "    border-radius: 50%;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 20px;\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M36%2064%20L36%2036%20L64%2036%20L64%2028%20L36%2028%20L36%200%20L28%200%20L28%2028%20L0%2028%20L0%2036%20L28%2036%20L28%2064%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-color: var(--box-col);\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_reset{\n",
       "    margin: 11px 10px;\n",
       "    padding: 0 0 0 10px;\n",
       "    border: none !important;\n",
       "    border-left: 2px solid var(--wire-col) !important;\n",
       "    background: transparent;\n",
       "}\n",
       ".gate_reset_spider{\n",
       "    width: calc(var(--box-height) - 24px);\n",
       "    height: calc(var(--box-height) - 24px);\n",
       "    background: var(--box-col);\n",
       "    border: 2px solid var(--wire-col);\n",
       "    border-radius: 50%;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       "\n",
       "/* Add wire sections coming in and out of the gate */\n",
       ".gate_in:before, .gate_in:after{\n",
       "    content: '';\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    top: calc(50% - 1px);\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 9px;\n",
       "    height: 0;\n",
       "    background: var(--wire-col);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".classical.gate_in:before,\n",
       ".classical.gate_in:after{\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       "\n",
       ".gate_in:before{\n",
       "    left: -12px;\n",
       "}\n",
       ".gate_out:after{\n",
       "    right: -12px;\n",
       "}\n",
       ".gate_top.gate_in:before, .gate_top.gate_out:after{\n",
       "    top:calc(50% - 6.5px)\n",
       "}\n",
       ".gate_bottom.gate_in:before, .gate_bottom.gate_out:after{\n",
       "    top:calc(50% + 4.5px)\n",
       "}\n",
       "\n",
       "\n",
       ".link-bottom, .link-top {\n",
       "    height: var(--box-height);\n",
       "    width: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    left: calc(50% - 1px);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".link-top{\n",
       "    top: calc(0px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom{\n",
       "    top: calc(var(--box-height)/2)\n",
       "}\n",
       ".half-link {\n",
       "    height: calc(var(--box-height) - 9px);\n",
       "}\n",
       ".half-link.link-bottom{\n",
       "    top: calc(var(--box-height)/2 + 11px)\n",
       "}\n",
       ".half-link.link-top{\n",
       "    top: calc(-2px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom.measurement{\n",
       "    width: 3px;\n",
       "    left: calc(50% - 0.5px);\n",
       "    border: none;\n",
       "    background: var(--c-wire-col);\n",
       "    height: calc(var(--box-height) + 2px);\n",
       "    z-index: 1;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "/* tool tips */\n",
       ".tool-tip-container{\n",
       "    margin: calc(0px - var(--box-height)) auto 0;\n",
       "    padding-top: var(--box-height);\n",
       "    position: relative;\n",
       "    bottom: 0;\n",
       "    left: 0;\n",
       "    right: 0;\n",
       "    height: 0;\n",
       "    z-index: 4;\n",
       "    width: fit-content;\n",
       "    overflow: hidden;\n",
       "}\n",
       ".tool-tip-container.no-js{\n",
       "    overflow: visible;\n",
       "}\n",
       ".tool-tip-container.no-js:hover{\n",
       "    z-index: 10;\n",
       "}\n",
       ".nested > .tool-tip-container{\n",
       "    position: absolute;\n",
       "    bottom: -10px;\n",
       "}\n",
       ".tool-tip{\n",
       "    visibility: hidden;\n",
       "    opacity: 0;\n",
       "    -webkit-transition: visibility 0.2s, opacity 0.2s;\n",
       "    -moz-transition: visibility 0.2s, opacity 0.2s;\n",
       "    transition: visibility 0.2s, opacity 0.2s;\n",
       "    max-width: 250px;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip{\n",
       "    visibility: visible;\n",
       "    opacity: 1;\n",
       "}\n",
       ".tool-tip-content{\n",
       "    background: var(--main-bg);\n",
       "    margin: 0 auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    max-width: 100%;\n",
       "}\n",
       ".no-js > .tool-tip > .tool-tip-content{\n",
       "    height: auto;\n",
       "    padding: 20px;\n",
       "    margin: 0 auto;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip > .tool-tip-content,\n",
       ".no-js > tool-tip > .tool-tip-content:hover{\n",
       "    box-shadow: 0 -5px 20px 5px var(--faint-col-overlay);\n",
       "}\n",
       ".tool-tip:after{\n",
       "    content: \" \";\n",
       "    position: absolute;\n",
       "    bottom: 0;\n",
       "    left: 50%;\n",
       "    margin-left: -5px;\n",
       "    border-width: 5px;\n",
       "    border-style: solid;\n",
       "    border-color: transparent transparent var(--main-bg) transparent;\n",
       "}\n",
       ".tool-tip .complex-number{\n",
       "    padding: 4px;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested{\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "}\n",
       ".nested-label-layer.as-height{\n",
       "    padding: 0;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested > .nested-circuit-container,\n",
       ".circuit-preview.condensed > .nested-circuit-container{\n",
       "    background: transparent;\n",
       "    border: none;\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "    max-width: unset;\n",
       "}\n",
       "\n",
       "/* Tool-tip modal */\n",
       ".circuit-grid{\n",
       "    display: flex;\n",
       "    flex-direction: row-reverse;\n",
       "    align-items: stretch;\n",
       "    align-content: stretch;\n",
       "}\n",
       ".circuit-grid-circuit{\n",
       "    flex: 1 1 auto;\n",
       "    margin-top: 30px;\n",
       "    overflow: auto;\n",
       "    max-height: inherit;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "/*  FOR DISPLAYING CHARTS  */\n",
       "table{\n",
       "    border-collapse: collapse;\n",
       "}\n",
       ".table-container{\n",
       "    margin: auto;\n",
       "}\n",
       ".bar-chart-container{\n",
       "    min-width: 300px;\n",
       "    width: 60%;\n",
       "}\n",
       ".square-chart-container{\n",
       "    width: auto;\n",
       "    min-width: 0;\n",
       "    overflow: hidden;\n",
       "}\n",
       "\n",
       "/* Make sure we can see the rightmost border */\n",
       ".square-chart-container tbody{\n",
       "    position: relative;\n",
       "    left: -1px;\n",
       "    display: block;\n",
       "}\n",
       "thead > tr{\n",
       "    background: transparent !important;\n",
       "}\n",
       "tr:hover, tr {\n",
       "    background: initial !important;\n",
       "}\n",
       "\n",
       "td, th{\n",
       "    padding: 10px;\n",
       "    position: relative;\n",
       "}\n",
       "\n",
       "/* COMPLEX NUMBERS AND MATRICES */\n",
       ".complex-number{\n",
       "    padding: 10px;\n",
       "}\n",
       ".mid-number{\n",
       "    padding: 5px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".large-number{\n",
       "    padding: 2px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".matrix_container{\n",
       "    border: 2px solid var(--mid-col);\n",
       "    border-top: 0;\n",
       "    border-bottom: 0;\n",
       "    margin: auto !important;\n",
       "    border-collapse: collapse;\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "\n",
       "/* LIST RESULTS NICELY */\n",
       ".list{\n",
       "    flex-wrap: wrap;\n",
       "    justify-content: space-evenly;\n",
       "    align-items: stretch;\n",
       "    padding: 0;\n",
       "}\n",
       ".list > *{\n",
       "    margin: 10px;\n",
       "}\n",
       ".list > .row-sub-heading{\n",
       "    margin: 10px 0;\n",
       "}\n",
       "</style>\n",
       "\n",
       "</head>\n",
       "<body>\n",
       "    <div class=\"row circuit-grid circuit__preview-body\">\n",
       "        <div class=\"circuit-grid-circuit thin-scrollbar\"  style=\"\">\n",
       "            \n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "    <div class=\"circuit-preview circuit_variables condensed\">\n",
       "        \n",
       "            \n",
       "            <div class=\"nested-label-layer as-height\">\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "            </div>\n",
       "            <div class=\"nested-circuit-container\"><div class=\"circuit-inner-scroll\">\n",
       "        \n",
       "        <div class=\"circuit-container nested\">\n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">q[0]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[1]</div>\n",
       "        \n",
       "        \n",
       "            <div class=\"qubit bit\">c[0]</div>\n",
       "        \n",
       "            <div class=\"qubit bit\">c[1]</div>\n",
       "        \n",
       "    </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire classical\"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire classical\"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container h\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">H</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire classical\"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire classical\"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire classical\"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire classical\"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        <div class=\"gate_container\">\n",
       "        \n",
       "            <div class=\"link-bottom measurement\"></div>\n",
       "        \n",
       "        \n",
       "\n",
       "        <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        <div class=\"gate gate_connection gate_measure\"></div>\n",
       "        \n",
       "            <div class=\"control_index measure z\">z</div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        \n",
       "            <div class=\"link-bottom measurement\"></div>\n",
       "        \n",
       "        \n",
       "\n",
       "        <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        <div class=\"gate gate_connection \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "        <div class=\"gate_container\">\n",
       "        \n",
       "        \n",
       "\n",
       "        <div class=\"gate_container\">\n",
       "        <div class=\"wire classical\"></div>\n",
       "        \n",
       "    </div>\n",
       "        <div class=\"gate gate_connection \"></div>\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire classical\"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        <div class=\"gate_container\">\n",
       "        \n",
       "            <div class=\"link-bottom measurement\"></div>\n",
       "        \n",
       "        \n",
       "\n",
       "        <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        <div class=\"gate gate_connection gate_measure\"></div>\n",
       "        \n",
       "            <div class=\"control_index measure z\">z</div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        \n",
       "            <div class=\"link-bottom measurement\"></div>\n",
       "        \n",
       "        \n",
       "\n",
       "        <div class=\"gate_container\">\n",
       "        <div class=\"wire classical\"></div>\n",
       "        \n",
       "    </div>\n",
       "        <div class=\"gate gate_connection \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "        <div class=\"gate_container\">\n",
       "        \n",
       "        \n",
       "\n",
       "        <div class=\"gate_container\">\n",
       "        <div class=\"wire classical\"></div>\n",
       "        \n",
       "    </div>\n",
       "        <div class=\"gate gate_connection \"></div>\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire classical\"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire classical\"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">q[0]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[1]</div>\n",
       "        \n",
       "        \n",
       "            <div class=\"qubit bit\">c[0]</div>\n",
       "        \n",
       "            <div class=\"qubit bit\">c[1]</div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        \n",
       "            </div></div>\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "\n",
       "\n",
       "        </div>\n",
       "    </div>\n",
       "</body>\n",
       "</html>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pytket.extensions.qiskit import qiskit_to_tk\n",
    "\n",
    "tket_circ = qiskit_to_tk(qiskit_circ)\n",
    "tket_circ.measure_all()\n",
    "\n",
    "render_circuit_jupyter(tket_circ)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "statewide-darkness",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'111': 507, '011': 493}\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/miniconda3/envs/public/lib/python3.8/site-packages/qiskit/utils/deprecation.py:62: DeprecationWarning: Using a qobj for run() is deprecated as of qiskit-aer 0.9.0 and will be removed no sooner than 3 months from that release date. Transpiled circuits should now be passed directly using `backend.run(circuits, **run_options).\n",
      "  return func(*args, **kwargs)\n"
     ]
    }
   ],
   "source": [
    "from pytket.extensions.qiskit import tk_to_qiskit\n",
    "from qiskit import Aer\n",
    "from qiskit import assemble\n",
    "\n",
    "sv_sim = Aer.get_backend('aer_simulator')\n",
    "\n",
    "tket_circ = Circuit(3).X(0).H(2).CX(0,1)\n",
    "qiskit_circ = tk_to_qiskit(tket_circ)\n",
    "qiskit_circ.measure_all()\n",
    "\n",
    "qobj = assemble(qiskit_circ, shots=1000)\n",
    "job = sv_sim.run(qobj)\n",
    "hist = job.result().get_counts()\n",
    "print(hist)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "piano-melbourne",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Circuit Analysis\n",
    "\n",
    "Common circuit metrics like gate count and depth are used to approximate the difficulty of running it on a device, providing some basic tools to help distinguish different implementations of a given algorithm.\n",
    "- On NISQ technology two-qubit gates being much slower and noisier.\n",
    "- Looking forward to the fault-tolerant regime, we will expect Clifford gates to be very cheap, but the T gate to require an expensive distillation procedure."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "convertible-polyester",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of gates = 7\n",
      "Circuit depth = 4\n",
      "Number of T gates = 3\n"
     ]
    }
   ],
   "source": [
    "print(f\"Number of gates = {circ.n_gates}\")\n",
    "print(f\"Circuit depth = {circ.depth()}\")\n",
    "print(f\"Number of T gates = {circ.n_gates_of_type(OpType.T)}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "prostate-boards",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# Max-Cut Problem \n",
    "\n",
    "Consider a graph, consisting of verticies and edges connecting them. A cut of such a graph is a partition of the vertices of the graph into two sets. Max-cut is the problem of finding a partition which maximises the number of edges between the two sets."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "contrary-continuity",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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GwYMH8fHxITIykjNnzhidUr0xqpUCUjyHMJvNrFu3jjfffJNnn32WrVu3Gp1SnRF6vESlFmRV6ySys7MZO3Yso0aNIjExER8fH6NTqpVLly4RERFh2Ou95IrnJOzjNM6ePUt0dLTLj9MwcpsFKZ5TadWqFTt37iQmJoZ+/fq59DgNIytakOI5nSZNmrBw4UIsFguTJk3iH//4Bzabzei0/gcjK1qQ4mnGCy+8UD1OY9SoUS43TkNutR6MfZxGSEiIS43TsNlsnDp1Sq54nox9nMYHH3zgMuM0Lly4QOvWrQ29xV+KpxPjx4+vHqcxbdo0Q8dpGL3NghRPV+zjNIqLiw0dp2F0RQtSPN3x9/dnw4YNTJ061bBxGkZXtCDFMwSTycTMmTPZsWMHM2fOZMGCBbqO03CFrVZeMjOY69evM3HiRCorK9m4cSPt2rXT9Hz2l6gUFBRgNps1PVdtyBXPYOzjNJ555hldxmnk5eXRoUMHQ6UDKZ5L4OXlxfvvv8+aNWs0H6fhCtssSPFcihdffJGsrCySk5OJi4ujsLDQ6edwhYoWpHguh9bjNFyhogUpnktiH6fxzjvvEB0dTXJystNiu8pWK6taF+f48eOMGTOGoUOHsmzZMpo1a9bgWCUlJbRs2ZLbt2/r9j6LmpArnotjH6eRn5/v8DiNM2fOEBISYrh0IMVzCwIDA9m+fTtxcXEOjdNwlW0WpHhug8lkYu7cuWzZsoVp06bx7rvvUllZWa8YrlLRgvyO55bk5+cTHx+Pn59fzeM07t2DzZvhX/+CX3+FsjKu37tHWe/edEhKgoEDwYAJAtXoPq1F4hTKysrE3LlzRXBwsMjKyvrjB8XFQrz5phD+/lUH/NdhM5mEaN5ciC5dhEhJMSx/KZ6bs337dhEUFCRWrlwpbDduCNG7txC+vv8j3H0Ps1mIRYsMyVtutR5Abm4uE0aPJuW33+hcVISprKzuHzabYfFimDtXuwTvgxTPQyifNw9bUhLN6llwAODnB0ePwuOPOz+xGpBVrSdQVobP2rUNkw6gvByWL3dqSg9CiucJ/Oc/4MizuxUV8NVXoOPUKymeJ/Dpp3DnjmMxvLxg927n5FMHpHiewK+/Oh6jrAzy8x2PU0ekeJ5AfarYmqisBB3f6SHF8wSc8WB206bQooXjceqIFM8TGDIEnDGPr39/x2PUEdnH8wTy8uDJJ6GkpOExevaEEyecl9MDkCueJxAaCuHhDf+8vz/Mn++8fOqAXPE8hcxMGDq06q6U+uDlBY8+CidPggN3N9cXueJ5Cs88A6tXV13+qiteXtCyJaSn6yodyBVPYhByxZMYghRPYghSPIkhSPEkhiDFkxiCFE9iCP8PnWADr7gsTrwAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 144x144 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "G = nx.Graph()\n",
    "G.add_edges_from([(0,1), (1,2), (2,0)])\n",
    "plt.figure(figsize=(2,2))\n",
    "nx.draw(G, node_color=['red', 'blue', 'red'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "separate-smoke",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "There are \\\\(2^3\\\\) possible assignments of colour to nodes. In general there are \\\\( 2^n \\\\). The Max-cut problem can then be stated as that of finding the colour assignment which maximises the number of edges between vertices of a different colour."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "little-chinese",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Quantum Approximate Optimization Algorithm (QAOA)\n",
    "\n",
    "Introduced in 'A Quantum Approximate Optimization Algorithm' (found at https://arxiv.org/abs/1411.4028). The idea is to prepare a quantum state which encodes a solution to the Max-cut problem. This is a variational algorithm, which is to say that a paramaterised state is prepared, with the paramaters varied to improve the solution. In particular, the state prepared has the form \n",
    "\\\\[ \\left| \\psi \\left( \\beta, \\gamma \\right) \\right\\rangle = U \\left( \\beta_m \\right) U \\left( \\gamma_m \\right) ... U \\left( \\beta_0 \\right) U \\left( \\gamma_0 \\right) \\left| \\psi_0 \\right\\rangle \\\\]\n",
    "where\n",
    "\\\\[ U \\left( \\beta_i \\right) = e^{i \\beta H_B} \\quad \\& \\quad U \\left( \\gamma_i \\right) = e^{i \\gamma H_P} \\\\]\n",
    "with \\\\( H_B \\\\) and \\\\( H_P \\\\) depending on the problem instance. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "together-girlfriend",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "In this case the *problem Hamiltonian* is\n",
    "\\\\[ H_P = \\frac{1}{2 \\sqrt{2}} \\left[ \\left( Z \\otimes Z \\otimes I \\right) + \\left( Z \\otimes I \\otimes Z \\right) + \\left( I \\otimes Z \\otimes Z \\right) \\right] \\\\]\n",
    "where you will notice that there is a \\\\( Z \\otimes Z \\\\) acting between each vertex which is connected by an edge."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "extensive-court",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "The *mixer Hamiltonian* has the form \n",
    "\\\\[ H_B = \\frac{1}{2 \\sqrt{2}} \\left[ \\left( X \\otimes I \\otimes I \\right) + \\left( I \\otimes X \\otimes I \\right) + \\left( I \\otimes I \\otimes X \\right) \\right] \\\\]\n",
    "where you will notice that there is an \\\\( X \\\\) acting on each vertex."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ideal-basin",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Symbolic Gates\n",
    "\n",
    "It is very common for an experiment to use many circuits with similar structure, but varying gate parameters. In variational algorithms like QAOA, we are trying to explore the energy landscape with respect to the circuit parameters. \n",
    "- The only differences between iterations of the optimisation procedure are the specific angles of rotations in the circuits. \n",
    "- Because the procedures of generating and compiling the circuits typically won’t care what the exact angles are, we can define the circuits abstractly, treating each parameter as an algebraic symbol. \n",
    "- sympy is a widely-used python package for symbolic expressions and algebraic manipulation, defining sympy.Symbol objects to represent algebraic variables and using them in sympy.Expression s to build mathematical statements and arithmetic expressions."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "loaded-ireland",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Mixing Unitary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "resident-whale",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "<!DOCTYPE html>\n",
       "<html lang=\"en\">\n",
       "<head>\n",
       "    <meta charset=\"UTF-8\">\n",
       "    \n",
       "<style>\n",
       "body, .circuit__preview-body {\n",
       "    font-family: \"roboto\", system-ui, sans-serif;\n",
       "    --accent-col: green;\n",
       "    --accent-col-fill: darkseagreen;\n",
       "    --accent-col-alt: #aca;\n",
       "    --accent-col-emph: limegreen;\n",
       "    --accent-col-overlay: rgba(130,255,140,0.2);\n",
       "    --accent-col-outline: rgba(30, 250, 30,0.2);\n",
       "    --main-col: black;\n",
       "    --mid-col: #bbb;\n",
       "    --faint-col: #eee;\n",
       "    --faint-col-overlay: rgba(0, 0, 0, 0.05);\n",
       "    --main-bg: white;\n",
       "}\n",
       "\n",
       ".row{\n",
       "    display: flex;\n",
       "    flex-wrap: wrap;\n",
       "    align-items: center;\n",
       "    padding: 10px;\n",
       "    border-bottom: 1px solid var(--faint-col);\n",
       "    position: relative;\n",
       "}\n",
       ".row-item{\n",
       "    flex-grow: 1\n",
       "}\n",
       ".row-item-l{\n",
       "    text-align: left;\n",
       "}\n",
       ".row-item-r{\n",
       "    text-align: right;\n",
       "}\n",
       ".row-sub-heading{\n",
       "    border-color: var(--accent-col-emph);\n",
       "}\n",
       "\n",
       "/* FOR DISPLAYING CIRCUITS */\n",
       "/* Main preview container */\n",
       ".circuit-preview {\n",
       "    width: 100%;\n",
       "    height: 100%;\n",
       "    text-align: center;\n",
       "    color: black;\n",
       "}\n",
       ".circuit_variables {\n",
       "    /* Define some variables */\n",
       "    --box-height: 40px;\n",
       "    --wire-col: black;\n",
       "    --c-wire-col: #bbb;\n",
       "    --box-col: #ccc;\n",
       "    --box-col-overlay: rgba(0,0,0,0.05);\n",
       "    --c-box-col: #ddd;\n",
       "    --index-col: #888;\n",
       "}\n",
       ".circuit-preview.condensed{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       "\n",
       "/* Box colours */\n",
       ".h {\n",
       "    --box-col: #ffee00;\n",
       "    --box-col-overlay: rgba(255, 255, 0, 0.2);\n",
       "    --c-box-col: #ffee88;\n",
       "    --index-col: #ffcc00;\n",
       "}\n",
       ".x {\n",
       "    --box-col: #ff8888;\n",
       "    --box-col-overlay: rgba(255, 0, 0, 0.2);\n",
       "    --c-box-col: #e8a6a6;\n",
       "    --index-col: red;\n",
       "}\n",
       ".y {\n",
       "    --box-col: #6699ff;\n",
       "    --box-col-overlay: rgba(0, 0, 255, 0.2);\n",
       "    --c-box-col: #86c6f6;\n",
       "    --index-col: blue;\n",
       "}\n",
       ".z {\n",
       "    --box-col: #ccffcc;\n",
       "    --box-col-overlay: rgba(0, 255, 0, 0.2);\n",
       "    --c-box-col: #e2ffe2;\n",
       "    --index-col: green;\n",
       "}\n",
       "\n",
       ".circuit-container{\n",
       "    max-width: 100%;\n",
       "    display: flex;\n",
       "    flex-flow: row wrap;\n",
       "    justify-content: center;\n",
       "    align-content: flex-start;\n",
       "    margin: auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    background: rgba(255, 255, 255, 1);\n",
       "}\n",
       ".circuit-preview.condensed > .circuit-container{\n",
       "    flex-wrap: nowrap;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".circuit-container.nested{\n",
       "    position: relative;\n",
       "    flex-wrap: nowrap;\n",
       "    margin: -2px 0;\n",
       "}\n",
       ".nested-circuit-container{\n",
       "    display: flex;\n",
       "    overflow: auto;\n",
       "    max-width: 400px;\n",
       "    background: var(--box-col-overlay);\n",
       "    border: 1px solid var(--box-col);\n",
       "}\n",
       ".nested-circuit-container::-webkit-scrollbar {\n",
       "    height: 0;\n",
       "    width: 0;\n",
       "}\n",
       ".circuit-inner-scroll{\n",
       "    overflow: visible;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    margin: auto;\n",
       "    margin-top: 2px;\n",
       "}\n",
       ".circuit-end{\n",
       "    width: 2px;\n",
       "    height: auto;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0 calc(var(--box-height)/2 + 20px);\n",
       "}\n",
       ".circuit-layer{\n",
       "    min-width: 40px;\n",
       "    width: max-content;\n",
       "    display: flex;\n",
       "    flex-flow: column nowrap;\n",
       "    flex-grow: 1;\n",
       "    justify-content: space-between;\n",
       "    align-items: stretch;\n",
       "    margin-bottom: 20px;\n",
       "}\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-child(2),\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-last-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-last-child(2),\n",
       ".gate_container.nested > .circuit-layer:first-child,\n",
       ".gate_container.nested > .circuit-layer:last-child{\n",
       "    min-width: 10px;\n",
       "}\n",
       ".nested .circuit-layer{\n",
       "    margin-bottom: 0;\n",
       "}\n",
       ".flex_wire{\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Display qubit names at start of circuit */\n",
       ".circuit-layer.qubits{\n",
       "    flex-grow: 0;\n",
       "    color: var(--wire-col);\n",
       "}\n",
       ".qubit{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    padding: 10px;\n",
       "    text-align: center;\n",
       "    font-family: monospace;\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".wire{\n",
       "    height: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0;\n",
       "}\n",
       ".wire.classical{\n",
       "    border-color: var(--c-wire-col) !important;\n",
       "    background: var(--c-wire-col) !important;\n",
       "}\n",
       ".wire.transparent-wire{\n",
       "    border-color: transparent;\n",
       "    background: transparent;\n",
       "}\n",
       "\n",
       "/* Generic base for our gates */\n",
       ".gate_container{\n",
       "    position: relative;\n",
       "    min-width: -moz-fit-content;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".gate_container.nested{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container.nested:after{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container .classical{\n",
       "    background: var(--c-box-col);\n",
       "    border-color: var(--index-col);\n",
       "}\n",
       ".gate{\n",
       "    position: relative;\n",
       "    height: calc(var(--box-height) - 16px);\n",
       "    margin: 0 9px;\n",
       "    padding: 9px 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    border-bottom: none;\n",
       "    border-top: none;\n",
       "    text-align: left;\n",
       "    background: var(--box-col);\n",
       "    display: flex;\n",
       "    box-sizing: content-box;\n",
       "    z-index: 1;\n",
       "}\n",
       ".wire-label{\n",
       "    color: var(--index-col);\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    padding-right: 5px;\n",
       "}\n",
       ".gate_top > .wire-label,\n",
       ".gate_bottom > .wire-label {\n",
       "    padding-top: 0;\n",
       "}\n",
       ".nested-label-layer{\n",
       "    background: var(--box-col);\n",
       "    padding: 0 5px;\n",
       "}\n",
       ".nested-label-layer .wire-label{\n",
       "    padding: 10px 0;\n",
       "}\n",
       "\n",
       "/* Multi-qubit gates */\n",
       ".gate_bottom{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-bottom: 10px;\n",
       "    padding-bottom: 0;\n",
       "    border-bottom: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_top{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-top: 10px;\n",
       "    padding-top: 0;\n",
       "    border-top: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_name{\n",
       "    text-align: center;\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Single qubit gate*/\n",
       ".gate_box{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    margin: 10px;\n",
       "    padding: 0 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "/* Special gates */\n",
       ".gate_connection {\n",
       "    position: absolute;\n",
       "    top: -3px;\n",
       "    left: -1px;\n",
       "    border: none;\n",
       "    margin: calc(var(--box-height)/2) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "}\n",
       ".gate_swap {\n",
       "    height: 20px;\n",
       "    width: 20px;\n",
       "    margin: calc(var(--box-height)/2 - 6px) calc(50% - 9px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M60%200%20L32%2028%20L4%200%20L0%204%20L28%2032%20L0%2060%20L4%2064%20L32%2036%20L60%2064%20L64%2060%20L36%2032%20L64%204%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_measure {\n",
       "    height: 20px;\n",
       "    width: 25px;\n",
       "    margin: calc(var(--box-height)/2 - 10px) calc(50% - 11px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%27-10%20-10%2084%2084%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27white%27%0A%20%20stroke%3D%22black%22%0A%20%20stroke-width%3D%224px%22%0A%3E%0A%20%20%3Cpath%20d%3D%27M63%2C63%20C63%2C32%2048%2C16%2032%2C16%20C16%2C16%201%2C32%201%2C63%20L63%2C63%27%20/%3E%0A%20%20%3Cpath%20d%3D%22M32%2C63%20L56%2C16%22%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_control {\n",
       "    position: absolute;\n",
       "    top: 0;\n",
       "    left: 0;\n",
       "    border-radius: 50%;\n",
       "    width: 6px;\n",
       "    height: 6px;\n",
       "    margin: calc(var(--box-height)/2 - 3px) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    background: var(--box-col);\n",
       "}\n",
       ".gate_control.classical{\n",
       "    background: var(--c-wire-col);\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       ".control_index{\n",
       "    position: absolute;\n",
       "    right: calc(50% - 1em);\n",
       "    top: calc(50% - 1.4em);\n",
       "    color: var(--c-wire-col);\n",
       "    font-size: 0.8em;\n",
       "}\n",
       ".control_index.measure{\n",
       "    right: calc(50% - 1.2em);\n",
       "    top: calc(50% - 1.8em);\n",
       "    color: var(--index-col);\n",
       "}\n",
       ".gate_x {\n",
       "    top: -10px;\n",
       "    left: -6px;\n",
       "    border-radius: 50%;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 20px;\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M36%2064%20L36%2036%20L64%2036%20L64%2028%20L36%2028%20L36%200%20L28%200%20L28%2028%20L0%2028%20L0%2036%20L28%2036%20L28%2064%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-color: var(--box-col);\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_reset{\n",
       "    margin: 11px 10px;\n",
       "    padding: 0 0 0 10px;\n",
       "    border: none !important;\n",
       "    border-left: 2px solid var(--wire-col) !important;\n",
       "    background: transparent;\n",
       "}\n",
       ".gate_reset_spider{\n",
       "    width: calc(var(--box-height) - 24px);\n",
       "    height: calc(var(--box-height) - 24px);\n",
       "    background: var(--box-col);\n",
       "    border: 2px solid var(--wire-col);\n",
       "    border-radius: 50%;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       "\n",
       "/* Add wire sections coming in and out of the gate */\n",
       ".gate_in:before, .gate_in:after{\n",
       "    content: '';\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    top: calc(50% - 1px);\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 9px;\n",
       "    height: 0;\n",
       "    background: var(--wire-col);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".classical.gate_in:before,\n",
       ".classical.gate_in:after{\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       "\n",
       ".gate_in:before{\n",
       "    left: -12px;\n",
       "}\n",
       ".gate_out:after{\n",
       "    right: -12px;\n",
       "}\n",
       ".gate_top.gate_in:before, .gate_top.gate_out:after{\n",
       "    top:calc(50% - 6.5px)\n",
       "}\n",
       ".gate_bottom.gate_in:before, .gate_bottom.gate_out:after{\n",
       "    top:calc(50% + 4.5px)\n",
       "}\n",
       "\n",
       "\n",
       ".link-bottom, .link-top {\n",
       "    height: var(--box-height);\n",
       "    width: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    left: calc(50% - 1px);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".link-top{\n",
       "    top: calc(0px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom{\n",
       "    top: calc(var(--box-height)/2)\n",
       "}\n",
       ".half-link {\n",
       "    height: calc(var(--box-height) - 9px);\n",
       "}\n",
       ".half-link.link-bottom{\n",
       "    top: calc(var(--box-height)/2 + 11px)\n",
       "}\n",
       ".half-link.link-top{\n",
       "    top: calc(-2px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom.measurement{\n",
       "    width: 3px;\n",
       "    left: calc(50% - 0.5px);\n",
       "    border: none;\n",
       "    background: var(--c-wire-col);\n",
       "    height: calc(var(--box-height) + 2px);\n",
       "    z-index: 1;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "/* tool tips */\n",
       ".tool-tip-container{\n",
       "    margin: calc(0px - var(--box-height)) auto 0;\n",
       "    padding-top: var(--box-height);\n",
       "    position: relative;\n",
       "    bottom: 0;\n",
       "    left: 0;\n",
       "    right: 0;\n",
       "    height: 0;\n",
       "    z-index: 4;\n",
       "    width: fit-content;\n",
       "    overflow: hidden;\n",
       "}\n",
       ".tool-tip-container.no-js{\n",
       "    overflow: visible;\n",
       "}\n",
       ".tool-tip-container.no-js:hover{\n",
       "    z-index: 10;\n",
       "}\n",
       ".nested > .tool-tip-container{\n",
       "    position: absolute;\n",
       "    bottom: -10px;\n",
       "}\n",
       ".tool-tip{\n",
       "    visibility: hidden;\n",
       "    opacity: 0;\n",
       "    -webkit-transition: visibility 0.2s, opacity 0.2s;\n",
       "    -moz-transition: visibility 0.2s, opacity 0.2s;\n",
       "    transition: visibility 0.2s, opacity 0.2s;\n",
       "    max-width: 250px;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip{\n",
       "    visibility: visible;\n",
       "    opacity: 1;\n",
       "}\n",
       ".tool-tip-content{\n",
       "    background: var(--main-bg);\n",
       "    margin: 0 auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    max-width: 100%;\n",
       "}\n",
       ".no-js > .tool-tip > .tool-tip-content{\n",
       "    height: auto;\n",
       "    padding: 20px;\n",
       "    margin: 0 auto;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip > .tool-tip-content,\n",
       ".no-js > tool-tip > .tool-tip-content:hover{\n",
       "    box-shadow: 0 -5px 20px 5px var(--faint-col-overlay);\n",
       "}\n",
       ".tool-tip:after{\n",
       "    content: \" \";\n",
       "    position: absolute;\n",
       "    bottom: 0;\n",
       "    left: 50%;\n",
       "    margin-left: -5px;\n",
       "    border-width: 5px;\n",
       "    border-style: solid;\n",
       "    border-color: transparent transparent var(--main-bg) transparent;\n",
       "}\n",
       ".tool-tip .complex-number{\n",
       "    padding: 4px;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested{\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "}\n",
       ".nested-label-layer.as-height{\n",
       "    padding: 0;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested > .nested-circuit-container,\n",
       ".circuit-preview.condensed > .nested-circuit-container{\n",
       "    background: transparent;\n",
       "    border: none;\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "    max-width: unset;\n",
       "}\n",
       "\n",
       "/* Tool-tip modal */\n",
       ".circuit-grid{\n",
       "    display: flex;\n",
       "    flex-direction: row-reverse;\n",
       "    align-items: stretch;\n",
       "    align-content: stretch;\n",
       "}\n",
       ".circuit-grid-circuit{\n",
       "    flex: 1 1 auto;\n",
       "    margin-top: 30px;\n",
       "    overflow: auto;\n",
       "    max-height: inherit;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "/*  FOR DISPLAYING CHARTS  */\n",
       "table{\n",
       "    border-collapse: collapse;\n",
       "}\n",
       ".table-container{\n",
       "    margin: auto;\n",
       "}\n",
       ".bar-chart-container{\n",
       "    min-width: 300px;\n",
       "    width: 60%;\n",
       "}\n",
       ".square-chart-container{\n",
       "    width: auto;\n",
       "    min-width: 0;\n",
       "    overflow: hidden;\n",
       "}\n",
       "\n",
       "/* Make sure we can see the rightmost border */\n",
       ".square-chart-container tbody{\n",
       "    position: relative;\n",
       "    left: -1px;\n",
       "    display: block;\n",
       "}\n",
       "thead > tr{\n",
       "    background: transparent !important;\n",
       "}\n",
       "tr:hover, tr {\n",
       "    background: initial !important;\n",
       "}\n",
       "\n",
       "td, th{\n",
       "    padding: 10px;\n",
       "    position: relative;\n",
       "}\n",
       "\n",
       "/* COMPLEX NUMBERS AND MATRICES */\n",
       ".complex-number{\n",
       "    padding: 10px;\n",
       "}\n",
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       "    padding: 5px;\n",
       "    font-size: 0.75em;\n",
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       "    padding: 2px;\n",
       "    font-size: 0.75em;\n",
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       "    border: 2px solid var(--mid-col);\n",
       "    border-top: 0;\n",
       "    border-bottom: 0;\n",
       "    margin: auto !important;\n",
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       ".list{\n",
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       "    margin: 10px 0;\n",
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       "\n",
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       "<body>\n",
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       "                \n",
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       "            <div class=\"nested-circuit-container\"><div class=\"circuit-inner-scroll\">\n",
       "        \n",
       "        <div class=\"circuit-container nested\">\n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">q[0]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[1]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[2]</div>\n",
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       "                    <span class=\"gate_name\">H</span>\n",
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       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(beta)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
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       "        <div class=\"flex_wire\">\n",
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       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(beta)</span>\n",
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       "            \n",
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       "            \n",
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       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(beta)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
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       "\n",
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       "    \n",
       "    \n",
       "\n",
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       "        </div>\n",
       "        <div class=\"gate_container h\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">H</span>\n",
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       "\n",
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       "        <div class=\"flex_wire\">\n",
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       "        <div class=\"gate_container h\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">H</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
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       "        <div class=\"flex_wire\">\n",
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       "\n",
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       "\n",
       "                    \n",
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       "                        \n",
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       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
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       "        <div class=\"gate_container h\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">H</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">q[0]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[1]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[2]</div>\n",
       "        \n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        \n",
       "            </div></div>\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "\n",
       "\n",
       "        </div>\n",
       "    </div>\n",
       "</body>\n",
       "</html>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pytket import Circuit\n",
    "from pytket.circuit import PauliExpBox\n",
    "from pytket.circuit import Pauli\n",
    "from pytket.passes import DecomposeBoxes\n",
    "from sympy import Symbol\n",
    "\n",
    "mixing_circ = Circuit(len(G.nodes()))\n",
    "beta = Symbol(\"beta\")\n",
    "\n",
    "for node in list(G.nodes()):\n",
    "    \n",
    "    paulis = [Pauli.I] * len(G.nodes())\n",
    "    paulis[node] = Pauli.X\n",
    "    \n",
    "    pauli_exp_box = PauliExpBox(paulis=paulis, t=beta)\n",
    "    mixing_circ.add_pauliexpbox(pauli_exp_box, list(G.nodes()))\n",
    "\n",
    "DecomposeBoxes().apply(mixing_circ)\n",
    "render_circuit_jupyter(mixing_circ)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "close-contact",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## Problem Unitary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "social-shepherd",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
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       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "<!DOCTYPE html>\n",
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       "    display: flex;\n",
       "    flex-wrap: wrap;\n",
       "    align-items: center;\n",
       "    padding: 10px;\n",
       "    border-bottom: 1px solid var(--faint-col);\n",
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       "    height: 100%;\n",
       "    text-align: center;\n",
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       ".circuit_variables {\n",
       "    /* Define some variables */\n",
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       "    --box-col: #ffee00;\n",
       "    --box-col-overlay: rgba(255, 255, 0, 0.2);\n",
       "    --c-box-col: #ffee88;\n",
       "    --index-col: #ffcc00;\n",
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       ".x {\n",
       "    --box-col: #ff8888;\n",
       "    --box-col-overlay: rgba(255, 0, 0, 0.2);\n",
       "    --c-box-col: #e8a6a6;\n",
       "    --index-col: red;\n",
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       ".y {\n",
       "    --box-col: #6699ff;\n",
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       "    --c-box-col: #86c6f6;\n",
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       ".z {\n",
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       "    --box-col-overlay: rgba(0, 255, 0, 0.2);\n",
       "    --c-box-col: #e2ffe2;\n",
       "    --index-col: green;\n",
       "}\n",
       "\n",
       ".circuit-container{\n",
       "    max-width: 100%;\n",
       "    display: flex;\n",
       "    flex-flow: row wrap;\n",
       "    justify-content: center;\n",
       "    align-content: flex-start;\n",
       "    margin: auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    background: rgba(255, 255, 255, 1);\n",
       "}\n",
       ".circuit-preview.condensed > .circuit-container{\n",
       "    flex-wrap: nowrap;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".circuit-container.nested{\n",
       "    position: relative;\n",
       "    flex-wrap: nowrap;\n",
       "    margin: -2px 0;\n",
       "}\n",
       ".nested-circuit-container{\n",
       "    display: flex;\n",
       "    overflow: auto;\n",
       "    max-width: 400px;\n",
       "    background: var(--box-col-overlay);\n",
       "    border: 1px solid var(--box-col);\n",
       "}\n",
       ".nested-circuit-container::-webkit-scrollbar {\n",
       "    height: 0;\n",
       "    width: 0;\n",
       "}\n",
       ".circuit-inner-scroll{\n",
       "    overflow: visible;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    margin: auto;\n",
       "    margin-top: 2px;\n",
       "}\n",
       ".circuit-end{\n",
       "    width: 2px;\n",
       "    height: auto;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0 calc(var(--box-height)/2 + 20px);\n",
       "}\n",
       ".circuit-layer{\n",
       "    min-width: 40px;\n",
       "    width: max-content;\n",
       "    display: flex;\n",
       "    flex-flow: column nowrap;\n",
       "    flex-grow: 1;\n",
       "    justify-content: space-between;\n",
       "    align-items: stretch;\n",
       "    margin-bottom: 20px;\n",
       "}\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-child(2),\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-last-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-last-child(2),\n",
       ".gate_container.nested > .circuit-layer:first-child,\n",
       ".gate_container.nested > .circuit-layer:last-child{\n",
       "    min-width: 10px;\n",
       "}\n",
       ".nested .circuit-layer{\n",
       "    margin-bottom: 0;\n",
       "}\n",
       ".flex_wire{\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Display qubit names at start of circuit */\n",
       ".circuit-layer.qubits{\n",
       "    flex-grow: 0;\n",
       "    color: var(--wire-col);\n",
       "}\n",
       ".qubit{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    padding: 10px;\n",
       "    text-align: center;\n",
       "    font-family: monospace;\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".wire{\n",
       "    height: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0;\n",
       "}\n",
       ".wire.classical{\n",
       "    border-color: var(--c-wire-col) !important;\n",
       "    background: var(--c-wire-col) !important;\n",
       "}\n",
       ".wire.transparent-wire{\n",
       "    border-color: transparent;\n",
       "    background: transparent;\n",
       "}\n",
       "\n",
       "/* Generic base for our gates */\n",
       ".gate_container{\n",
       "    position: relative;\n",
       "    min-width: -moz-fit-content;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".gate_container.nested{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container.nested:after{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container .classical{\n",
       "    background: var(--c-box-col);\n",
       "    border-color: var(--index-col);\n",
       "}\n",
       ".gate{\n",
       "    position: relative;\n",
       "    height: calc(var(--box-height) - 16px);\n",
       "    margin: 0 9px;\n",
       "    padding: 9px 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    border-bottom: none;\n",
       "    border-top: none;\n",
       "    text-align: left;\n",
       "    background: var(--box-col);\n",
       "    display: flex;\n",
       "    box-sizing: content-box;\n",
       "    z-index: 1;\n",
       "}\n",
       ".wire-label{\n",
       "    color: var(--index-col);\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    padding-right: 5px;\n",
       "}\n",
       ".gate_top > .wire-label,\n",
       ".gate_bottom > .wire-label {\n",
       "    padding-top: 0;\n",
       "}\n",
       ".nested-label-layer{\n",
       "    background: var(--box-col);\n",
       "    padding: 0 5px;\n",
       "}\n",
       ".nested-label-layer .wire-label{\n",
       "    padding: 10px 0;\n",
       "}\n",
       "\n",
       "/* Multi-qubit gates */\n",
       ".gate_bottom{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-bottom: 10px;\n",
       "    padding-bottom: 0;\n",
       "    border-bottom: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_top{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-top: 10px;\n",
       "    padding-top: 0;\n",
       "    border-top: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_name{\n",
       "    text-align: center;\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Single qubit gate*/\n",
       ".gate_box{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    margin: 10px;\n",
       "    padding: 0 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "/* Special gates */\n",
       ".gate_connection {\n",
       "    position: absolute;\n",
       "    top: -3px;\n",
       "    left: -1px;\n",
       "    border: none;\n",
       "    margin: calc(var(--box-height)/2) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "}\n",
       ".gate_swap {\n",
       "    height: 20px;\n",
       "    width: 20px;\n",
       "    margin: calc(var(--box-height)/2 - 6px) calc(50% - 9px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M60%200%20L32%2028%20L4%200%20L0%204%20L28%2032%20L0%2060%20L4%2064%20L32%2036%20L60%2064%20L64%2060%20L36%2032%20L64%204%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_measure {\n",
       "    height: 20px;\n",
       "    width: 25px;\n",
       "    margin: calc(var(--box-height)/2 - 10px) calc(50% - 11px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%27-10%20-10%2084%2084%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27white%27%0A%20%20stroke%3D%22black%22%0A%20%20stroke-width%3D%224px%22%0A%3E%0A%20%20%3Cpath%20d%3D%27M63%2C63%20C63%2C32%2048%2C16%2032%2C16%20C16%2C16%201%2C32%201%2C63%20L63%2C63%27%20/%3E%0A%20%20%3Cpath%20d%3D%22M32%2C63%20L56%2C16%22%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_control {\n",
       "    position: absolute;\n",
       "    top: 0;\n",
       "    left: 0;\n",
       "    border-radius: 50%;\n",
       "    width: 6px;\n",
       "    height: 6px;\n",
       "    margin: calc(var(--box-height)/2 - 3px) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    background: var(--box-col);\n",
       "}\n",
       ".gate_control.classical{\n",
       "    background: var(--c-wire-col);\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       ".control_index{\n",
       "    position: absolute;\n",
       "    right: calc(50% - 1em);\n",
       "    top: calc(50% - 1.4em);\n",
       "    color: var(--c-wire-col);\n",
       "    font-size: 0.8em;\n",
       "}\n",
       ".control_index.measure{\n",
       "    right: calc(50% - 1.2em);\n",
       "    top: calc(50% - 1.8em);\n",
       "    color: var(--index-col);\n",
       "}\n",
       ".gate_x {\n",
       "    top: -10px;\n",
       "    left: -6px;\n",
       "    border-radius: 50%;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 20px;\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M36%2064%20L36%2036%20L64%2036%20L64%2028%20L36%2028%20L36%200%20L28%200%20L28%2028%20L0%2028%20L0%2036%20L28%2036%20L28%2064%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-color: var(--box-col);\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_reset{\n",
       "    margin: 11px 10px;\n",
       "    padding: 0 0 0 10px;\n",
       "    border: none !important;\n",
       "    border-left: 2px solid var(--wire-col) !important;\n",
       "    background: transparent;\n",
       "}\n",
       ".gate_reset_spider{\n",
       "    width: calc(var(--box-height) - 24px);\n",
       "    height: calc(var(--box-height) - 24px);\n",
       "    background: var(--box-col);\n",
       "    border: 2px solid var(--wire-col);\n",
       "    border-radius: 50%;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       "\n",
       "/* Add wire sections coming in and out of the gate */\n",
       ".gate_in:before, .gate_in:after{\n",
       "    content: '';\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    top: calc(50% - 1px);\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 9px;\n",
       "    height: 0;\n",
       "    background: var(--wire-col);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".classical.gate_in:before,\n",
       ".classical.gate_in:after{\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       "\n",
       ".gate_in:before{\n",
       "    left: -12px;\n",
       "}\n",
       ".gate_out:after{\n",
       "    right: -12px;\n",
       "}\n",
       ".gate_top.gate_in:before, .gate_top.gate_out:after{\n",
       "    top:calc(50% - 6.5px)\n",
       "}\n",
       ".gate_bottom.gate_in:before, .gate_bottom.gate_out:after{\n",
       "    top:calc(50% + 4.5px)\n",
       "}\n",
       "\n",
       "\n",
       ".link-bottom, .link-top {\n",
       "    height: var(--box-height);\n",
       "    width: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    left: calc(50% - 1px);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".link-top{\n",
       "    top: calc(0px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom{\n",
       "    top: calc(var(--box-height)/2)\n",
       "}\n",
       ".half-link {\n",
       "    height: calc(var(--box-height) - 9px);\n",
       "}\n",
       ".half-link.link-bottom{\n",
       "    top: calc(var(--box-height)/2 + 11px)\n",
       "}\n",
       ".half-link.link-top{\n",
       "    top: calc(-2px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom.measurement{\n",
       "    width: 3px;\n",
       "    left: calc(50% - 0.5px);\n",
       "    border: none;\n",
       "    background: var(--c-wire-col);\n",
       "    height: calc(var(--box-height) + 2px);\n",
       "    z-index: 1;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "/* tool tips */\n",
       ".tool-tip-container{\n",
       "    margin: calc(0px - var(--box-height)) auto 0;\n",
       "    padding-top: var(--box-height);\n",
       "    position: relative;\n",
       "    bottom: 0;\n",
       "    left: 0;\n",
       "    right: 0;\n",
       "    height: 0;\n",
       "    z-index: 4;\n",
       "    width: fit-content;\n",
       "    overflow: hidden;\n",
       "}\n",
       ".tool-tip-container.no-js{\n",
       "    overflow: visible;\n",
       "}\n",
       ".tool-tip-container.no-js:hover{\n",
       "    z-index: 10;\n",
       "}\n",
       ".nested > .tool-tip-container{\n",
       "    position: absolute;\n",
       "    bottom: -10px;\n",
       "}\n",
       ".tool-tip{\n",
       "    visibility: hidden;\n",
       "    opacity: 0;\n",
       "    -webkit-transition: visibility 0.2s, opacity 0.2s;\n",
       "    -moz-transition: visibility 0.2s, opacity 0.2s;\n",
       "    transition: visibility 0.2s, opacity 0.2s;\n",
       "    max-width: 250px;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip{\n",
       "    visibility: visible;\n",
       "    opacity: 1;\n",
       "}\n",
       ".tool-tip-content{\n",
       "    background: var(--main-bg);\n",
       "    margin: 0 auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    max-width: 100%;\n",
       "}\n",
       ".no-js > .tool-tip > .tool-tip-content{\n",
       "    height: auto;\n",
       "    padding: 20px;\n",
       "    margin: 0 auto;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip > .tool-tip-content,\n",
       ".no-js > tool-tip > .tool-tip-content:hover{\n",
       "    box-shadow: 0 -5px 20px 5px var(--faint-col-overlay);\n",
       "}\n",
       ".tool-tip:after{\n",
       "    content: \" \";\n",
       "    position: absolute;\n",
       "    bottom: 0;\n",
       "    left: 50%;\n",
       "    margin-left: -5px;\n",
       "    border-width: 5px;\n",
       "    border-style: solid;\n",
       "    border-color: transparent transparent var(--main-bg) transparent;\n",
       "}\n",
       ".tool-tip .complex-number{\n",
       "    padding: 4px;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested{\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "}\n",
       ".nested-label-layer.as-height{\n",
       "    padding: 0;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested > .nested-circuit-container,\n",
       ".circuit-preview.condensed > .nested-circuit-container{\n",
       "    background: transparent;\n",
       "    border: none;\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "    max-width: unset;\n",
       "}\n",
       "\n",
       "/* Tool-tip modal */\n",
       ".circuit-grid{\n",
       "    display: flex;\n",
       "    flex-direction: row-reverse;\n",
       "    align-items: stretch;\n",
       "    align-content: stretch;\n",
       "}\n",
       ".circuit-grid-circuit{\n",
       "    flex: 1 1 auto;\n",
       "    margin-top: 30px;\n",
       "    overflow: auto;\n",
       "    max-height: inherit;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "/*  FOR DISPLAYING CHARTS  */\n",
       "table{\n",
       "    border-collapse: collapse;\n",
       "}\n",
       ".table-container{\n",
       "    margin: auto;\n",
       "}\n",
       ".bar-chart-container{\n",
       "    min-width: 300px;\n",
       "    width: 60%;\n",
       "}\n",
       ".square-chart-container{\n",
       "    width: auto;\n",
       "    min-width: 0;\n",
       "    overflow: hidden;\n",
       "}\n",
       "\n",
       "/* Make sure we can see the rightmost border */\n",
       ".square-chart-container tbody{\n",
       "    position: relative;\n",
       "    left: -1px;\n",
       "    display: block;\n",
       "}\n",
       "thead > tr{\n",
       "    background: transparent !important;\n",
       "}\n",
       "tr:hover, tr {\n",
       "    background: initial !important;\n",
       "}\n",
       "\n",
       "td, th{\n",
       "    padding: 10px;\n",
       "    position: relative;\n",
       "}\n",
       "\n",
       "/* COMPLEX NUMBERS AND MATRICES */\n",
       ".complex-number{\n",
       "    padding: 10px;\n",
       "}\n",
       ".mid-number{\n",
       "    padding: 5px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".large-number{\n",
       "    padding: 2px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".matrix_container{\n",
       "    border: 2px solid var(--mid-col);\n",
       "    border-top: 0;\n",
       "    border-bottom: 0;\n",
       "    margin: auto !important;\n",
       "    border-collapse: collapse;\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "\n",
       "/* LIST RESULTS NICELY */\n",
       ".list{\n",
       "    flex-wrap: wrap;\n",
       "    justify-content: space-evenly;\n",
       "    align-items: stretch;\n",
       "    padding: 0;\n",
       "}\n",
       ".list > *{\n",
       "    margin: 10px;\n",
       "}\n",
       ".list > .row-sub-heading{\n",
       "    margin: 10px 0;\n",
       "}\n",
       "</style>\n",
       "\n",
       "</head>\n",
       "<body>\n",
       "    <div class=\"row circuit-grid circuit__preview-body\">\n",
       "        <div class=\"circuit-grid-circuit thin-scrollbar\"  style=\"\">\n",
       "            \n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "    <div class=\"circuit-preview circuit_variables condensed\">\n",
       "        \n",
       "            \n",
       "            <div class=\"nested-label-layer as-height\">\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "            </div>\n",
       "            <div class=\"nested-circuit-container\"><div class=\"circuit-inner-scroll\">\n",
       "        \n",
       "        <div class=\"circuit-container nested\">\n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">q[0]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[1]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[2]</div>\n",
       "        \n",
       "        \n",
       "    </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "                    <div class=\"link-top\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(gamma)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "                    <div class=\"link-top\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        <div class=\"gate_container\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "            <div class=\"gate gate_connection \"></div>\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "                    <div class=\"link-top\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(gamma)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        <div class=\"gate_container\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "            <div class=\"gate gate_connection \"></div>\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "                    <div class=\"link-top\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "                    <div class=\"link-top\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(gamma)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "                    <div class=\"link-top\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">q[0]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[1]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[2]</div>\n",
       "        \n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        \n",
       "            </div></div>\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "\n",
       "\n",
       "        </div>\n",
       "    </div>\n",
       "</body>\n",
       "</html>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "problem_circ = Circuit(len(G.nodes()))\n",
    "gamma = Symbol(\"gamma\")\n",
    "\n",
    "for edge in list(G.edges()):\n",
    "        \n",
    "    paulis = [Pauli.I] * len(G.nodes())\n",
    "    paulis[edge[0]] = Pauli.Z\n",
    "    paulis[edge[1]] = Pauli.Z\n",
    "    \n",
    "    pauli_exp_box = PauliExpBox(paulis=paulis, t=gamma)\n",
    "    problem_circ.add_pauliexpbox(pauli_exp_box, list(G.nodes()))\n",
    "\n",
    "DecomposeBoxes().apply(problem_circ)\n",
    "render_circuit_jupyter(problem_circ)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "incorporated-printer",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## QAOA Circuit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "advanced-british",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "<!DOCTYPE html>\n",
       "<html lang=\"en\">\n",
       "<head>\n",
       "    <meta charset=\"UTF-8\">\n",
       "    \n",
       "<style>\n",
       "body, .circuit__preview-body {\n",
       "    font-family: \"roboto\", system-ui, sans-serif;\n",
       "    --accent-col: green;\n",
       "    --accent-col-fill: darkseagreen;\n",
       "    --accent-col-alt: #aca;\n",
       "    --accent-col-emph: limegreen;\n",
       "    --accent-col-overlay: rgba(130,255,140,0.2);\n",
       "    --accent-col-outline: rgba(30, 250, 30,0.2);\n",
       "    --main-col: black;\n",
       "    --mid-col: #bbb;\n",
       "    --faint-col: #eee;\n",
       "    --faint-col-overlay: rgba(0, 0, 0, 0.05);\n",
       "    --main-bg: white;\n",
       "}\n",
       "\n",
       ".row{\n",
       "    display: flex;\n",
       "    flex-wrap: wrap;\n",
       "    align-items: center;\n",
       "    padding: 10px;\n",
       "    border-bottom: 1px solid var(--faint-col);\n",
       "    position: relative;\n",
       "}\n",
       ".row-item{\n",
       "    flex-grow: 1\n",
       "}\n",
       ".row-item-l{\n",
       "    text-align: left;\n",
       "}\n",
       ".row-item-r{\n",
       "    text-align: right;\n",
       "}\n",
       ".row-sub-heading{\n",
       "    border-color: var(--accent-col-emph);\n",
       "}\n",
       "\n",
       "/* FOR DISPLAYING CIRCUITS */\n",
       "/* Main preview container */\n",
       ".circuit-preview {\n",
       "    width: 100%;\n",
       "    height: 100%;\n",
       "    text-align: center;\n",
       "    color: black;\n",
       "}\n",
       ".circuit_variables {\n",
       "    /* Define some variables */\n",
       "    --box-height: 40px;\n",
       "    --wire-col: black;\n",
       "    --c-wire-col: #bbb;\n",
       "    --box-col: #ccc;\n",
       "    --box-col-overlay: rgba(0,0,0,0.05);\n",
       "    --c-box-col: #ddd;\n",
       "    --index-col: #888;\n",
       "}\n",
       ".circuit-preview.condensed{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       "\n",
       "/* Box colours */\n",
       ".h {\n",
       "    --box-col: #ffee00;\n",
       "    --box-col-overlay: rgba(255, 255, 0, 0.2);\n",
       "    --c-box-col: #ffee88;\n",
       "    --index-col: #ffcc00;\n",
       "}\n",
       ".x {\n",
       "    --box-col: #ff8888;\n",
       "    --box-col-overlay: rgba(255, 0, 0, 0.2);\n",
       "    --c-box-col: #e8a6a6;\n",
       "    --index-col: red;\n",
       "}\n",
       ".y {\n",
       "    --box-col: #6699ff;\n",
       "    --box-col-overlay: rgba(0, 0, 255, 0.2);\n",
       "    --c-box-col: #86c6f6;\n",
       "    --index-col: blue;\n",
       "}\n",
       ".z {\n",
       "    --box-col: #ccffcc;\n",
       "    --box-col-overlay: rgba(0, 255, 0, 0.2);\n",
       "    --c-box-col: #e2ffe2;\n",
       "    --index-col: green;\n",
       "}\n",
       "\n",
       ".circuit-container{\n",
       "    max-width: 100%;\n",
       "    display: flex;\n",
       "    flex-flow: row wrap;\n",
       "    justify-content: center;\n",
       "    align-content: flex-start;\n",
       "    margin: auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    background: rgba(255, 255, 255, 1);\n",
       "}\n",
       ".circuit-preview.condensed > .circuit-container{\n",
       "    flex-wrap: nowrap;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".circuit-container.nested{\n",
       "    position: relative;\n",
       "    flex-wrap: nowrap;\n",
       "    margin: -2px 0;\n",
       "}\n",
       ".nested-circuit-container{\n",
       "    display: flex;\n",
       "    overflow: auto;\n",
       "    max-width: 400px;\n",
       "    background: var(--box-col-overlay);\n",
       "    border: 1px solid var(--box-col);\n",
       "}\n",
       ".nested-circuit-container::-webkit-scrollbar {\n",
       "    height: 0;\n",
       "    width: 0;\n",
       "}\n",
       ".circuit-inner-scroll{\n",
       "    overflow: visible;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    margin: auto;\n",
       "    margin-top: 2px;\n",
       "}\n",
       ".circuit-end{\n",
       "    width: 2px;\n",
       "    height: auto;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0 calc(var(--box-height)/2 + 20px);\n",
       "}\n",
       ".circuit-layer{\n",
       "    min-width: 40px;\n",
       "    width: max-content;\n",
       "    display: flex;\n",
       "    flex-flow: column nowrap;\n",
       "    flex-grow: 1;\n",
       "    justify-content: space-between;\n",
       "    align-items: stretch;\n",
       "    margin-bottom: 20px;\n",
       "}\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-child(2),\n",
       ".circuit-container:not(.nested) > .circuit-layer:nth-last-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-child(2),\n",
       ".circuit-container.nested > .circuit-layer:nth-last-child(2),\n",
       ".gate_container.nested > .circuit-layer:first-child,\n",
       ".gate_container.nested > .circuit-layer:last-child{\n",
       "    min-width: 10px;\n",
       "}\n",
       ".nested .circuit-layer{\n",
       "    margin-bottom: 0;\n",
       "}\n",
       ".flex_wire{\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Display qubit names at start of circuit */\n",
       ".circuit-layer.qubits{\n",
       "    flex-grow: 0;\n",
       "    color: var(--wire-col);\n",
       "}\n",
       ".qubit{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    padding: 10px;\n",
       "    text-align: center;\n",
       "    font-family: monospace;\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".wire{\n",
       "    height: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    margin: calc(var(--box-height)/2) 0;\n",
       "}\n",
       ".wire.classical{\n",
       "    border-color: var(--c-wire-col) !important;\n",
       "    background: var(--c-wire-col) !important;\n",
       "}\n",
       ".wire.transparent-wire{\n",
       "    border-color: transparent;\n",
       "    background: transparent;\n",
       "}\n",
       "\n",
       "/* Generic base for our gates */\n",
       ".gate_container{\n",
       "    position: relative;\n",
       "    min-width: -moz-fit-content;\n",
       "    min-width: fit-content;\n",
       "}\n",
       ".gate_container.nested{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container.nested:after{\n",
       "    display: flex;\n",
       "    flex-wrap: nowrap;\n",
       "}\n",
       ".gate_container .classical{\n",
       "    background: var(--c-box-col);\n",
       "    border-color: var(--index-col);\n",
       "}\n",
       ".gate{\n",
       "    position: relative;\n",
       "    height: calc(var(--box-height) - 16px);\n",
       "    margin: 0 9px;\n",
       "    padding: 9px 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    border-bottom: none;\n",
       "    border-top: none;\n",
       "    text-align: left;\n",
       "    background: var(--box-col);\n",
       "    display: flex;\n",
       "    box-sizing: content-box;\n",
       "    z-index: 1;\n",
       "}\n",
       ".wire-label{\n",
       "    color: var(--index-col);\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    padding-right: 5px;\n",
       "}\n",
       ".gate_top > .wire-label,\n",
       ".gate_bottom > .wire-label {\n",
       "    padding-top: 0;\n",
       "}\n",
       ".nested-label-layer{\n",
       "    background: var(--box-col);\n",
       "    padding: 0 5px;\n",
       "}\n",
       ".nested-label-layer .wire-label{\n",
       "    padding: 10px 0;\n",
       "}\n",
       "\n",
       "/* Multi-qubit gates */\n",
       ".gate_bottom{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-bottom: 10px;\n",
       "    padding-bottom: 0;\n",
       "    border-bottom: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_top{\n",
       "    height: calc(var(--box-height) - 18px);\n",
       "    margin-top: 10px;\n",
       "    padding-top: 0;\n",
       "    border-top: 1px solid var(--index-col);\n",
       "}\n",
       ".gate_name{\n",
       "    text-align: center;\n",
       "    flex-grow: 1;\n",
       "}\n",
       "/* Single qubit gate*/\n",
       ".gate_box{\n",
       "    height: calc(var(--box-height) - 20px);\n",
       "    margin: 10px;\n",
       "    padding: 0 5px;\n",
       "    border: 1px solid var(--index-col);\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "/* Special gates */\n",
       ".gate_connection {\n",
       "    position: absolute;\n",
       "    top: -3px;\n",
       "    left: -1px;\n",
       "    border: none;\n",
       "    margin: calc(var(--box-height)/2) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "}\n",
       ".gate_swap {\n",
       "    height: 20px;\n",
       "    width: 20px;\n",
       "    margin: calc(var(--box-height)/2 - 6px) calc(50% - 9px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M60%200%20L32%2028%20L4%200%20L0%204%20L28%2032%20L0%2060%20L4%2064%20L32%2036%20L60%2064%20L64%2060%20L36%2032%20L64%204%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_measure {\n",
       "    height: 20px;\n",
       "    width: 25px;\n",
       "    margin: calc(var(--box-height)/2 - 10px) calc(50% - 11px);\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%27-10%20-10%2084%2084%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27white%27%0A%20%20stroke%3D%22black%22%0A%20%20stroke-width%3D%224px%22%0A%3E%0A%20%20%3Cpath%20d%3D%27M63%2C63%20C63%2C32%2048%2C16%2032%2C16%20C16%2C16%201%2C32%201%2C63%20L63%2C63%27%20/%3E%0A%20%20%3Cpath%20d%3D%22M32%2C63%20L56%2C16%22%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_control {\n",
       "    position: absolute;\n",
       "    top: 0;\n",
       "    left: 0;\n",
       "    border-radius: 50%;\n",
       "    width: 6px;\n",
       "    height: 6px;\n",
       "    margin: calc(var(--box-height)/2 - 3px) calc(50% - 5px);\n",
       "    padding: 0;\n",
       "    border: 2px solid var(--wire-col);\n",
       "    background: var(--box-col);\n",
       "}\n",
       ".gate_control.classical{\n",
       "    background: var(--c-wire-col);\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       ".control_index{\n",
       "    position: absolute;\n",
       "    right: calc(50% - 1em);\n",
       "    top: calc(50% - 1.4em);\n",
       "    color: var(--c-wire-col);\n",
       "    font-size: 0.8em;\n",
       "}\n",
       ".control_index.measure{\n",
       "    right: calc(50% - 1.2em);\n",
       "    top: calc(50% - 1.8em);\n",
       "    color: var(--index-col);\n",
       "}\n",
       ".gate_x {\n",
       "    top: -10px;\n",
       "    left: -6px;\n",
       "    border-radius: 50%;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 20px;\n",
       "    background: url(\n",
       "data:image/svg+xml;utf8,%0A%3C%21--%20Generated%20with%20http%3A//jxnblk.com/paths%20--%3E%0A%3Csvg%0A%20%20xmlns%3D%27http%3A//www.w3.org/2000/svg%27%0A%20%20viewBox%3D%270%200%2064%2064%27%0A%20%20width%3D%2764%27%20height%3D%2764%27%0A%20%20fill%3D%27currentcolor%27%3E%0A%20%20%3Cpath%20d%3D%27M36%2064%20L36%2036%20L64%2036%20L64%2028%20L36%2028%20L36%200%20L28%200%20L28%2028%20L0%2028%20L0%2036%20L28%2036%20L28%2064%27%20/%3E%0A%3C/svg%3E\n",
       ") center;\n",
       "    background-color: var(--box-col);\n",
       "    background-size: cover;\n",
       "}\n",
       ".gate_reset{\n",
       "    margin: 11px 10px;\n",
       "    padding: 0 0 0 10px;\n",
       "    border: none !important;\n",
       "    border-left: 2px solid var(--wire-col) !important;\n",
       "    background: transparent;\n",
       "}\n",
       ".gate_reset_spider{\n",
       "    width: calc(var(--box-height) - 24px);\n",
       "    height: calc(var(--box-height) - 24px);\n",
       "    background: var(--box-col);\n",
       "    border: 2px solid var(--wire-col);\n",
       "    border-radius: 50%;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       "\n",
       "/* Add wire sections coming in and out of the gate */\n",
       ".gate_in:before, .gate_in:after{\n",
       "    content: '';\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    top: calc(50% - 1px);\n",
       "    border: 1px solid var(--wire-col);\n",
       "    width: 9px;\n",
       "    height: 0;\n",
       "    background: var(--wire-col);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".classical.gate_in:before,\n",
       ".classical.gate_in:after{\n",
       "    border-color: var(--c-wire-col);\n",
       "}\n",
       "\n",
       ".gate_in:before{\n",
       "    left: -12px;\n",
       "}\n",
       ".gate_out:after{\n",
       "    right: -12px;\n",
       "}\n",
       ".gate_top.gate_in:before, .gate_top.gate_out:after{\n",
       "    top:calc(50% - 6.5px)\n",
       "}\n",
       ".gate_bottom.gate_in:before, .gate_bottom.gate_out:after{\n",
       "    top:calc(50% + 4.5px)\n",
       "}\n",
       "\n",
       "\n",
       ".link-bottom, .link-top {\n",
       "    height: var(--box-height);\n",
       "    width: 0;\n",
       "    border: 1px solid var(--wire-col);\n",
       "    background: var(--wire-col);\n",
       "    position: absolute;\n",
       "    display: block;\n",
       "    left: calc(50% - 1px);\n",
       "    box-sizing: content-box;\n",
       "}\n",
       ".link-top{\n",
       "    top: calc(0px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom{\n",
       "    top: calc(var(--box-height)/2)\n",
       "}\n",
       ".half-link {\n",
       "    height: calc(var(--box-height) - 9px);\n",
       "}\n",
       ".half-link.link-bottom{\n",
       "    top: calc(var(--box-height)/2 + 11px)\n",
       "}\n",
       ".half-link.link-top{\n",
       "    top: calc(-2px - var(--box-height)/2);\n",
       "}\n",
       ".link-bottom.measurement{\n",
       "    width: 3px;\n",
       "    left: calc(50% - 0.5px);\n",
       "    border: none;\n",
       "    background: var(--c-wire-col);\n",
       "    height: calc(var(--box-height) + 2px);\n",
       "    z-index: 1;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "/* tool tips */\n",
       ".tool-tip-container{\n",
       "    margin: calc(0px - var(--box-height)) auto 0;\n",
       "    padding-top: var(--box-height);\n",
       "    position: relative;\n",
       "    bottom: 0;\n",
       "    left: 0;\n",
       "    right: 0;\n",
       "    height: 0;\n",
       "    z-index: 4;\n",
       "    width: fit-content;\n",
       "    overflow: hidden;\n",
       "}\n",
       ".tool-tip-container.no-js{\n",
       "    overflow: visible;\n",
       "}\n",
       ".tool-tip-container.no-js:hover{\n",
       "    z-index: 10;\n",
       "}\n",
       ".nested > .tool-tip-container{\n",
       "    position: absolute;\n",
       "    bottom: -10px;\n",
       "}\n",
       ".tool-tip{\n",
       "    visibility: hidden;\n",
       "    opacity: 0;\n",
       "    -webkit-transition: visibility 0.2s, opacity 0.2s;\n",
       "    -moz-transition: visibility 0.2s, opacity 0.2s;\n",
       "    transition: visibility 0.2s, opacity 0.2s;\n",
       "    max-width: 250px;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip{\n",
       "    visibility: visible;\n",
       "    opacity: 1;\n",
       "}\n",
       ".tool-tip-content{\n",
       "    background: var(--main-bg);\n",
       "    margin: 0 auto;\n",
       "    width: -moz-fit-content;\n",
       "    width: fit-content;\n",
       "    max-width: 100%;\n",
       "}\n",
       ".no-js > .tool-tip > .tool-tip-content{\n",
       "    height: auto;\n",
       "    padding: 20px;\n",
       "    margin: 0 auto;\n",
       "}\n",
       ".tool-tip-container.no-js:hover > .tool-tip > .tool-tip-content,\n",
       ".no-js > tool-tip > .tool-tip-content:hover{\n",
       "    box-shadow: 0 -5px 20px 5px var(--faint-col-overlay);\n",
       "}\n",
       ".tool-tip:after{\n",
       "    content: \" \";\n",
       "    position: absolute;\n",
       "    bottom: 0;\n",
       "    left: 50%;\n",
       "    margin-left: -5px;\n",
       "    border-width: 5px;\n",
       "    border-style: solid;\n",
       "    border-color: transparent transparent var(--main-bg) transparent;\n",
       "}\n",
       ".tool-tip .complex-number{\n",
       "    padding: 4px;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested{\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "}\n",
       ".nested-label-layer.as-height{\n",
       "    padding: 0;\n",
       "}\n",
       ".tool-tip-content > .gate_container.nested > .nested-circuit-container,\n",
       ".circuit-preview.condensed > .nested-circuit-container{\n",
       "    background: transparent;\n",
       "    border: none;\n",
       "    width: 100%;\n",
       "    min-width: unset;\n",
       "    max-width: unset;\n",
       "}\n",
       "\n",
       "/* Tool-tip modal */\n",
       ".circuit-grid{\n",
       "    display: flex;\n",
       "    flex-direction: row-reverse;\n",
       "    align-items: stretch;\n",
       "    align-content: stretch;\n",
       "}\n",
       ".circuit-grid-circuit{\n",
       "    flex: 1 1 auto;\n",
       "    margin-top: 30px;\n",
       "    overflow: auto;\n",
       "    max-height: inherit;\n",
       "}\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "/*  FOR DISPLAYING CHARTS  */\n",
       "table{\n",
       "    border-collapse: collapse;\n",
       "}\n",
       ".table-container{\n",
       "    margin: auto;\n",
       "}\n",
       ".bar-chart-container{\n",
       "    min-width: 300px;\n",
       "    width: 60%;\n",
       "}\n",
       ".square-chart-container{\n",
       "    width: auto;\n",
       "    min-width: 0;\n",
       "    overflow: hidden;\n",
       "}\n",
       "\n",
       "/* Make sure we can see the rightmost border */\n",
       ".square-chart-container tbody{\n",
       "    position: relative;\n",
       "    left: -1px;\n",
       "    display: block;\n",
       "}\n",
       "thead > tr{\n",
       "    background: transparent !important;\n",
       "}\n",
       "tr:hover, tr {\n",
       "    background: initial !important;\n",
       "}\n",
       "\n",
       "td, th{\n",
       "    padding: 10px;\n",
       "    position: relative;\n",
       "}\n",
       "\n",
       "/* COMPLEX NUMBERS AND MATRICES */\n",
       ".complex-number{\n",
       "    padding: 10px;\n",
       "}\n",
       ".mid-number{\n",
       "    padding: 5px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".large-number{\n",
       "    padding: 2px;\n",
       "    font-size: 0.75em;\n",
       "}\n",
       ".matrix_container{\n",
       "    border: 2px solid var(--mid-col);\n",
       "    border-top: 0;\n",
       "    border-bottom: 0;\n",
       "    margin: auto !important;\n",
       "    border-collapse: collapse;\n",
       "    text-align: center;\n",
       "}\n",
       "\n",
       "\n",
       "/* LIST RESULTS NICELY */\n",
       ".list{\n",
       "    flex-wrap: wrap;\n",
       "    justify-content: space-evenly;\n",
       "    align-items: stretch;\n",
       "    padding: 0;\n",
       "}\n",
       ".list > *{\n",
       "    margin: 10px;\n",
       "}\n",
       ".list > .row-sub-heading{\n",
       "    margin: 10px 0;\n",
       "}\n",
       "</style>\n",
       "\n",
       "</head>\n",
       "<body>\n",
       "    <div class=\"row circuit-grid circuit__preview-body\">\n",
       "        <div class=\"circuit-grid-circuit thin-scrollbar\"  style=\"\">\n",
       "            \n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "    <div class=\"circuit-preview circuit_variables condensed\">\n",
       "        \n",
       "            \n",
       "            <div class=\"nested-label-layer as-height\">\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "                    <div class=\"wire-label\"></div>\n",
       "                \n",
       "            </div>\n",
       "            <div class=\"nested-circuit-container\"><div class=\"circuit-inner-scroll\">\n",
       "        \n",
       "        <div class=\"circuit-container nested\">\n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">q[0]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[1]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[2]</div>\n",
       "        \n",
       "        \n",
       "    </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container h\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">H</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container h\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">H</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container h\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">H</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container \">\n",
       "        <div class=\"gate gate_in gate_out \n",
       "                gate_top \">\n",
       "            <span class=\"wire-label\">0</span>\n",
       "            <span class=\"gate_name\"></span>\n",
       "        </div>\n",
       "\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "            \n",
       "                <div class=\"gate_container \">\n",
       "        <div class=\"gate gate_in gate_out \n",
       "                 \">\n",
       "            <span class=\"wire-label\">1</span>\n",
       "            <span class=\"gate_name\">Barrier</span>\n",
       "        </div>\n",
       "\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "            \n",
       "                <div class=\"gate_container \">\n",
       "        <div class=\"gate gate_in gate_out \n",
       "                 gate_bottom\">\n",
       "            <span class=\"wire-label\">2</span>\n",
       "            <span class=\"gate_name\"></span>\n",
       "        </div>\n",
       "\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "            \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "                    <div class=\"link-top\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(0.5)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "                    <div class=\"link-top\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        <div class=\"gate_container\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "            <div class=\"gate gate_connection \"></div>\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "                    <div class=\"link-top\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(0.5)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        <div class=\"gate_container\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "            <div class=\"gate gate_connection \"></div>\n",
       "            \n",
       "                <div class=\"link-top\"></div>\n",
       "            \n",
       "        </div>\n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "                    <div class=\"link-top\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "                    <div class=\"link-top\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(0.5)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "            \n",
       "            \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container x\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">X</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                            \n",
       "    \n",
       "        \n",
       "        \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "                <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "                \n",
       "                <div class=\"gate gate_control z\"></div>\n",
       "                \n",
       "                    <div class=\"link-top\"></div>\n",
       "                \n",
       "            </div>\n",
       "            \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "                        \n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container \">\n",
       "        <div class=\"gate gate_in gate_out \n",
       "                gate_top \">\n",
       "            <span class=\"wire-label\">0</span>\n",
       "            <span class=\"gate_name\"></span>\n",
       "        </div>\n",
       "\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "            \n",
       "                <div class=\"gate_container \">\n",
       "        <div class=\"gate gate_in gate_out \n",
       "                 \">\n",
       "            <span class=\"wire-label\">1</span>\n",
       "            <span class=\"gate_name\">Barrier</span>\n",
       "        </div>\n",
       "\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "            \n",
       "                <div class=\"gate_container \">\n",
       "        <div class=\"gate gate_in gate_out \n",
       "                 gate_bottom\">\n",
       "            <span class=\"wire-label\">2</span>\n",
       "            <span class=\"gate_name\"></span>\n",
       "        </div>\n",
       "\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "            \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container h\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">H</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container h\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">H</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container h\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">H</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(1.25)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(1.25)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container z\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">Rz(1.25)</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container h\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">H</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container h\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">H</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container nested\">\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        <div class=\"gate_container h\">\n",
       "            \n",
       "            \n",
       "                <div class=\"gate gate_box gate_in gate_out \">\n",
       "                    <span class=\"gate_name\">H</span>\n",
       "                </div>\n",
       "            \n",
       "\n",
       "            \n",
       "        </div>\n",
       "        <div class=\"flex_wire\">\n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "    </div>\n",
       "\n",
       "    \n",
       "        \n",
       "    \n",
       "        \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "                <div class=\"circuit-layer hover-highlight-circuit\">\n",
       "                \n",
       "                    \n",
       "                    \n",
       "                        \n",
       "    \n",
       "    \n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "            <div class=\"gate_container\">\n",
       "        <div class=\"wire \"></div>\n",
       "        \n",
       "    </div>\n",
       "        \n",
       "\n",
       "    \n",
       "    \n",
       "\n",
       "                    \n",
       "                \n",
       "            </div>\n",
       "            \n",
       "            <div class=\"circuit-layer qubits\">\n",
       "        \n",
       "            <div class=\"qubit\">q[0]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[1]</div>\n",
       "        \n",
       "            <div class=\"qubit\">q[2]</div>\n",
       "        \n",
       "        \n",
       "    </div>\n",
       "        </div>\n",
       "        \n",
       "            </div></div>\n",
       "        \n",
       "    </div>\n",
       "\n",
       "    \n",
       "\n",
       "\n",
       "        </div>\n",
       "    </div>\n",
       "</body>\n",
       "</html>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
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   ],
   "source": [
    "circ = Circuit(len(G.nodes()))\n",
    "\n",
    "for node in list(G.nodes()):\n",
    "    circ.H(node)\n",
    "circ.add_barrier(list(G.nodes()))  \n",
    "\n",
    "circ.append(problem_circ)\n",
    "circ.add_barrier(list(G.nodes()))  \n",
    "\n",
    "circ.append(mixing_circ)\n",
    "\n",
    "s_map = {beta:1.25, gamma:0.5}\n",
    "circ.symbol_substitution(s_map)\n",
    "\n",
    "render_circuit_jupyter(circ)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "elect-institution",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
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   "source": [
    "<center> <h1> Questions </h1> </center>"
   ]
  }
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