Day2/Introduction-to-Quantum-Computing-and-Qiskit-Day-2.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Qiskit Terra"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'qiskit': '0.11.0',\n",
       " 'qiskit-terra': '0.8.2',\n",
       " 'qiskit-ignis': '0.1.1',\n",
       " 'qiskit-aer': '0.2.3',\n",
       " 'qiskit-ibmq-provider': '0.3.0',\n",
       " 'qiskit-aqua': '0.5.2'}"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit import version\n",
    "version._get_qiskit_versions()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Example : 5 qubit GHZ states"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit.circuit.instructionset.InstructionSet at 0x13b5aef4048>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit import QuantumRegister, ClassicalRegister, QuantumCircuit, execute\n",
    "\n",
    "# Create a Quantum Register with 3 qubits.\n",
    "qr = QuantumRegister(5, 'q')\n",
    "# Create a Classical Register with 5 bits.\n",
    "cr = ClassicalRegister(5, 'c')\n",
    "# Create a Quantum Circuit acting on the q register\n",
    "Q_ghz = QuantumCircuit(qr,cr)\n",
    "\n",
    "\n",
    "Q_ghz.h(qr[2])\n",
    "Q_ghz.cx(qr[2], qr[1])\n",
    "Q_ghz.cx(qr[1], qr[0])\n",
    "Q_ghz.cx(qr[2], qr[3])\n",
    "Q_ghz.cx(qr[3], qr[4])\n",
    "Q_ghz.barrier(qr)\n",
    "Q_ghz.measure(qr, cr)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The circuit you think:\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 774x442.9 with 1 Axes>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "Q_ghz.draw(output='mpl',scale=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 817x442.9 with 1 Axes>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.compiler import transpile\n",
    "trans_circ = transpile(Q_ghz, basis_gates=['u1', 'u3', 'u2', 'cx'])\n",
    "trans_circ.draw(output='mpl',scale=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "gates =  {'u2': 1, 'cx': 4, 'barrier': 1, 'measure': 5}\n",
      "depth =  5\n"
     ]
    }
   ],
   "source": [
    "print('gates = ', trans_circ.count_ops())\n",
    "print('depth = ', trans_circ.depth())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Transpiler"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Check the account and select device and add transpiler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Available Providers: \n",
      "[<AccountProvider for IBMQ(hub='ibm-q', group='open', project='main')>,\n",
      " <AccountProvider for IBMQ(hub='ibm-q-hub-ntu', group='ntu-internal', project='default')>]\n",
      "Available Device: \n",
      "[<IBMQSimulator('ibmq_qasm_simulator') from IBMQ(hub='ibm-q', group='open', project='main')>,\n",
      " <IBMQBackend('ibmqx4') from IBMQ(hub='ibm-q', group='open', project='main')>,\n",
      " <IBMQBackend('ibmqx2') from IBMQ(hub='ibm-q', group='open', project='main')>,\n",
      " <IBMQBackend('ibmq_16_melbourne') from IBMQ(hub='ibm-q', group='open', project='main')>]\n"
     ]
    }
   ],
   "source": [
    "from pprint import pprint\n",
    "from qiskit import IBMQ\n",
    "account_api='10020ff2a93a8771e98f6b0a4962ff796fd7096ce3b048372b11cdf5ea3b7b460f22798be9d7670f9af12933740dc50f1ca2244298381ed05db4abd553c37ef2'\n",
    "IBMQ.save_account(account_api,overwrite=True)\n",
    "IBMQ.load_account()\n",
    "print('Available Providers: ')\n",
    "pprint(IBMQ.providers())\n",
    "print('Available Device: ')\n",
    "pprint(IBMQ.get_provider(hub='ibm-q').backends())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "BackendStatus(backend_name='ibmq_16_melbourne', backend_version='1.0.0', operational=True, pending_jobs=54, status_msg='active')"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "device_QC = IBMQ.get_provider(hub='ibm-q').get_backend('ibmq_16_melbourne')\n",
    "device_QC.status()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 989x1689.9 with 1 Axes>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "trans_ghz_default = transpile(Q_ghz, device_QC)\n",
    "trans_ghz_default.draw(output='mpl',scale=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "gates =  {'u2': 7, 'cx': 4, 'barrier': 1, 'measure': 5}\n",
      "depth =  8\n",
      "total gate use:  16\n"
     ]
    }
   ],
   "source": [
    "print('gates = ', trans_ghz_default.count_ops())\n",
    "print('depth = ', trans_ghz_default.depth())\n",
    "print('total gate use: ',trans_ghz_default.size())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "C:\\Users\\HCL\\Anaconda3\\envs\\Qiskit\\lib\\site-packages\\qiskit\\providers\\ibmq\\ibmqfactory.py:531: DeprecationWarning: IBMQ.backends() is being deprecated. Please use IBMQ.get_provider() to retrieve a provider and AccountProvider.backends() to find its backends.\n",
      "  DeprecationWarning)\n"
     ]
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "45526e86d41b4e97b422adad96d7c6e7",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "VBox(children=(HTML(value=\"<h1 style='color:#ffffff;background-color:#000000;padding-top: 1%;padding-bottom: 1…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Properties of backends\n",
    "from qiskit.tools.jupyter import *\n",
    "%qiskit_backend_monitor device_QC"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#layout = {qr[0]: 10, qr[1]: 4, qr[2]: 5, qr[3]: 6, qr[4]: 8}\n",
    "layout = [10, 4, 5, 6, 8]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 860x829.9 with 1 Axes>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "trans_mapped = transpile(Q_ghz, device_QC, initial_layout=layout)\n",
    "trans_mapped.draw(output='mpl',scale=0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Job Status: job is queued (55)      "
     ]
    }
   ],
   "source": [
    "from qiskit.tools.monitor import job_monitor\n",
    "job = execute([trans_ghz_default, trans_mapped], device_QC)\n",
    "job_monitor(job)\n",
    "res = job.result()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Comparasion Results (Exercise)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Q: Compare the results of simulator, default_map and layout mapping (by your self)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}