Visualization_Figures.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "114b7952",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-14T22:45:04.795520Z",
     "start_time": "2023-08-14T22:45:02.531011Z"
    }
   },
   "outputs": [],
   "source": [
    "import tools.IonChainTools as ict\n",
    "from tools.MSFidelityEstimation import estimateMSFidelity_errgate_allnearpairs\n",
    "\n",
    "import matplotlib\n",
    "import matplotlib.patches as patches\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.gridspec as gS\n",
    "import matplotlib.cm as cm\n",
    "import seaborn as sb\n",
    "import numpy as np\n",
    "\n",
    "from itertools import combinations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "d3fa3f60",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-14T22:45:04.806093Z",
     "start_time": "2023-08-14T22:45:04.803262Z"
    }
   },
   "outputs": [],
   "source": [
    "π = np.pi"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "82fecacd",
   "metadata": {
    "heading_collapsed": true
   },
   "source": [
    "# DAMOP POSTER"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9368238d",
   "metadata": {
    "heading_collapsed": true,
    "hidden": true
   },
   "source": [
    "## Colormaps"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "a17e182d",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-31T21:01:15.890313Z",
     "start_time": "2023-07-31T21:01:15.882513Z"
    },
    "hidden": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/html": [
       "<div style=\"vertical-align: middle;\"><strong>white2red</strong> </div><div class=\"cmap\"><img alt=\"white2red colormap\" title=\"white2red\" style=\"border: 1px solid #555;\" src=\"data:image/png;base64,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\"></div><div style=\"vertical-align: middle; max-width: 514px; display: flex; justify-content: space-between;\"><div style=\"float: left;\"><div title=\"#ffffffff\" style=\"display: inline-block; width: 1em; height: 1em; margin: 0; vertical-align: middle; border: 1px solid #555; background-color: #ffffffff;\"></div> under</div><div style=\"margin: 0 auto; display: inline-block;\">bad <div title=\"#00000000\" style=\"display: inline-block; width: 1em; height: 1em; margin: 0; vertical-align: middle; border: 1px solid #555; background-color: #00000000;\"></div></div><div style=\"float: right;\">over <div title=\"#ff0000ff\" style=\"display: inline-block; width: 1em; height: 1em; margin: 0; vertical-align: middle; border: 1px solid #555; background-color: #ff0000ff;\"></div></div>"
      ],
      "text/plain": [
       "<matplotlib.colors.LinearSegmentedColormap at 0x7fc6a38b3c40>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cdict = {'red':   [(0.0,  1.0, 1.0),\n",
    "                   (1.0,  1.0, 1.0)],\n",
    "\n",
    "         'green': [(0.0,  1.0, 1.0),\n",
    "                  (1.0,  0.0, 0.0)],\n",
    "\n",
    "         'blue':  [(0.0,  1.0, 1.0),\n",
    "                   (1.0,  0.0, 0.0)]}\n",
    "white2red = matplotlib.colors.LinearSegmentedColormap(\"white2red\", cdict)\n",
    "white2red"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "59f06449",
   "metadata": {
    "heading_collapsed": true,
    "hidden": true
   },
   "source": [
    "## Side-by-Side, COM vs Best, Error Gate Diagram"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "8130e0d1",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-31T21:01:22.310971Z",
     "start_time": "2023-07-31T21:01:21.594075Z"
    },
    "hidden": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 2000x2000 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 8\n",
    "m1=0\n",
    "m2=4\n",
    "bw = 0.7\n",
    "targets = (1,6)\n",
    "\n",
    "comfid = estimateMSFidelity_errgate_allnearpairs(N, m1, targets, bw)\n",
    "bestfid = estimateMSFidelity_errgate_allnearpairs(N, m2, targets, bw)\n",
    "\n",
    "positions = ict.calcPositions(N)\n",
    "intensities = ict.calcCrosstalkIntensities(N, targets, bw)\n",
    "neighbors = [a for a in range(N) if a in (targets[0]-1, targets[0]+1, targets[1]-1, targets[1]+1)] \n",
    "\n",
    "\n",
    "fig = plt.figure(figsize=(20,20))\n",
    "gs = matplotlib.gridspec.GridSpec(2, 1, height_ratios=[3, 3])\n",
    "ax1 = plt.subplot(gs[0, 0])\n",
    "ax2 = plt.subplot(gs[1, 0])\n",
    "\n",
    "axes = [ax1, ax2]\n",
    "\n",
    "\n",
    "for ax in axes:\n",
    "    ax.get_xaxis().set_visible(False)\n",
    "    ax.get_yaxis().set_visible(False)\n",
    "    for side in ['top','bottom','left','right']:\n",
    "       ax.spines[side].set_visible(False)\n",
    "    ax.set_xlim(-3,3)\n",
    "    ax.set_aspect('equal')\n",
    "\n",
    "# Create beam profile\n",
    "beamcenters = [positions[t] for t in targets]\n",
    "position_intensities = ict.calcCrosstalkIntensitiesAtPositions(beamcenters, bw, np.linspace(-3, 3, 1000))\n",
    "position_strengths = np.sqrt(position_intensities)\n",
    "gradient = position_intensities.reshape(1, -1)\n",
    "\n",
    "for m, ax in zip((m1,m2),(axes[0], axes[1])):\n",
    "    if m==m1:\n",
    "        ax.text(*(-3, 0.75), s=\"COM Mode\", fontsize=32)\n",
    "        ax.text(*(2.2, 0.75), s=fr\"$\\mathcal{'{F}'}\\approx {comfid:.2f}$\", fontsize=32)\n",
    "        ax.set_ylim(-0.5,1)\n",
    "        ax.imshow(gradient, extent=[-3, 3, -0.25, 0.25], cmap=white2red)\n",
    "    else:\n",
    "        ax.text(*(-3, -0.75), s=f\"{m2+1}th Mode\", fontsize=32)\n",
    "        ax.text(*(2.2, -0.75), s=fr\"$\\mathcal{'{F}'}\\approx {bestfid:.2f}$\", fontsize=32)\n",
    "        ax.set_ylim(-1,0.5)\n",
    "        ax.imshow(gradient, extent=[-3, 3, -0.25, 0.25], cmap=white2red)\n",
    "    arcdirection = -1 if m==m1 else 1\n",
    "    # Draw Gates\n",
    "    mvec = ict.calcAxialModes(N)[m][1]\n",
    "    cmap = matplotlib.cm.get_cmap('Blues')\n",
    "    i,j = targets\n",
    "    iondistance = abs(positions[i]-positions[j])\n",
    "    archeight = iondistance/4\n",
    "    gatearc = patches.Arc(((positions[i]+positions[j])/2,0), abs(positions[i]-positions[j]),\n",
    "                          archeight*arcdirection, theta1=0, theta2=180, lw=10, color=cmap(2.0))\n",
    "    ax.add_patch(gatearc)\n",
    "    for t in targets:\n",
    "        for n in neighbors:\n",
    "            a, b = t, n\n",
    "            relspeed = abs(np.sqrt(intensities[a]*intensities[b])*mvec[a]*mvec[b])\n",
    "            relspeed /= abs(np.sqrt(intensities[i]*intensities[j])*mvec[i]*mvec[j])\n",
    "            #print(a,b,relspeed)\n",
    "            iondistance = abs(positions[a]-positions[b])\n",
    "            archeight = iondistance/2.2\n",
    "            gatearc = patches.Arc(((positions[a]+positions[b])/2,0), abs(positions[a]-positions[b]),\n",
    "                                  archeight*arcdirection, theta1=180, theta2=360,\n",
    "                                  lw=10, color=cmap(relspeed*2))\n",
    "            ax.add_patch(gatearc)\n",
    "\n",
    "\n",
    "    # Draw Mode Coupling Arrows\n",
    "    for i,pos in enumerate(positions):\n",
    "        ax.arrow(pos,0,mvec[i]/1.5,0,width=0.05, length_includes_head=True, head_length=0.05,\n",
    "                lw=0, color='green')\n",
    "             \n",
    "    # Draw Ions\n",
    "    for i,pos in enumerate(positions):\n",
    "        color = (51/255, 0, 111/255) if i in targets else (0.75,0.50,1.00)\n",
    "        ion = patches.Circle((pos,0), 0.1, color=color)\n",
    "        ax.add_patch(ion)\n",
    "        \n",
    "fig.subplots_adjust(wspace=0, hspace=0, top=0.4, bottom=0)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3d057320",
   "metadata": {
    "heading_collapsed": true,
    "hidden": true
   },
   "source": [
    "## Crosstalk vs Chain Length"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "97ecb786",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-31T21:01:47.098025Z",
     "start_time": "2023-07-31T21:01:46.771351Z"
    },
    "hidden": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Nrange = np.arange(1, 11, 2)\n",
    "fig, ax = plt.subplots(figsize=(12, 8))\n",
    "for N in Nrange:\n",
    "    positions = ict.calcPositions(N)\n",
    "    c = [(51/255, 0, 111/255) if i==(N-1)/2 else (0.75,0.50,1.00) for i in range(N)]\n",
    "    ax.scatter(positions, np.ones(N)*N, c=c, s=250)\n",
    "beamcenters = [0]\n",
    "bw=0.7\n",
    "intensities = ict.calcCrosstalkIntensitiesAtPositions(beamcenters, bw, np.linspace(positions[0]-1, positions[-1]+1, 1000))\n",
    "strengths = np.sqrt(intensities)\n",
    "gradient = intensities.reshape(1, -1)\n",
    "mappable = ax.imshow(gradient, extent=[positions[0]-1, positions[-1]+1, 0, 10],\n",
    "                     aspect=0.5, cmap=white2red, vmin=0, vmax=1)\n",
    "cbar = fig.colorbar(mappable, location='right', orientation='vertical', shrink=0.7, pad=0.1)\n",
    "cbar.ax.set_title(label='$E$-Field \\n Intensity', size=20, y=1.02)\n",
    "cbar.ax.tick_params(labelsize=15)\n",
    "ax.tick_params(labelsize=20)\n",
    "ax.set_yticks(np.arange(1,11,2))\n",
    "ax.set_title('Positions of Ions in Chains \\n and Gaussian Beam Intensity', fontsize=25)\n",
    "ax.set_xlabel('Positions of Ions \\n (Units of trap length scale, ≈4.4μm for Ca$^{40}$ in $ν_{axial} = 1$ MHz)',\n",
    "             fontsize=20)\n",
    "ax.set_ylabel('Ion Chain Length', fontsize=20);"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e5c606af",
   "metadata": {
    "heading_collapsed": true,
    "hidden": true
   },
   "source": [
    "## Axial and Radial Mode Spectrum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "b99ea449",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-07-31T21:02:02.258734Z",
     "start_time": "2023-07-31T21:02:02.025047Z"
    },
    "hidden": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x600 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N=10\n",
    "axialmodes = ict.calcAxialModes(N)\n",
    "radialmodes = ict.calcRadialModes(N, νratio=9)\n",
    "axialfreqs = [axialmodes[m][0] for m in range(N)]\n",
    "radialfreqs = [radialmodes[m][0] for m in range(N)]\n",
    "fig, ax = plt.subplots(figsize=(16,6))\n",
    "ax.set_xlim(0, 10)\n",
    "ax.get_yaxis().set_visible(False)\n",
    "ax.vlines(axialfreqs, ymin=0, ymax=1, label=\"Axial\", color=\"blue\", lw=3)\n",
    "ax.vlines(radialfreqs, ymin=0, ymax=1, label=\"Radial\", color=\"green\", lw=3)\n",
    "ax.set_xlabel(\"Frequency of Mode (units of COM frequency) \\n\"r\"$\\nu_{radial} = 9\\nu_{axial}$\", fontsize=30)\n",
    "ax.legend(fontsize=30)\n",
    "ax.tick_params(labelsize=30)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "35ca1c01",
   "metadata": {
    "heading_collapsed": true
   },
   "source": [
    "# AFOSR YIP"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "895f8dda",
   "metadata": {
    "hidden": true
   },
   "source": [
    "## Mode Vectors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "bc5fc93f",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-10T01:08:00.519621Z",
     "start_time": "2023-08-10T01:08:00.406420Z"
    },
    "hidden": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 5\n",
    "m = 4\n",
    "m2 = 1\n",
    "\n",
    "fig,axs = plt.subplots(1,2,dpi=100)\n",
    "ax,ax2 = axs\n",
    "        \n",
    "ax = ict.visualizeRadialMode(N, m, ax, head_size = 0.5)\n",
    "ax2 = ict.visualizeRadialMode(N, m2, ax2, head_size = 0.5)\n",
    "\n",
    "for a in axs:\n",
    "    a.axis('off')\n",
    "\n",
    "#plt.savefig('5ions_m03')\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "760dbc82",
   "metadata": {
    "hidden": true
   },
   "source": [
    "## One representative mode"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6ba37b88",
   "metadata": {
    "hidden": true
   },
   "outputs": [],
   "source": [
    "N = 5\n",
    "bw = 0.5\n",
    "\n",
    "for t1 in range(N):\n",
    "    for t2 in range(N):\n",
    "        if t1 == t2:\n",
    "            continue\n",
    "        print(t1,t2,estimateMSFidelity_errgate_allnearpairs(N, 0, (t1,t2), bw))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "1688b194",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-10T01:10:00.200813Z",
     "start_time": "2023-08-10T01:09:59.910675Z"
    },
    "hidden": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 5\n",
    "m1=0\n",
    "m2=3\n",
    "bw = 0.5\n",
    "targets = (1,3)\n",
    "\n",
    "comfid = estimateMSFidelity_errgate_allnearpairs(N, m1, targets, bw)\n",
    "bestfid = estimateMSFidelity_errgate_allnearpairs(N, m2, targets, bw)\n",
    "\n",
    "positions = ict.calcPositions(N)\n",
    "intensities = ict.calcCrosstalkIntensities(N, targets, bw)\n",
    "neighbors = [a for a in range(N) if a in (targets[0]-1, targets[0]+1, targets[1]-1, targets[1]+1)] \n",
    "\n",
    "\n",
    "fig = plt.figure(figsize=(8,8),dpi=100)\n",
    "gs = gS.GridSpec(2, 1, height_ratios=[3, 3])\n",
    "ax1 = plt.subplot(gs[0, 0])\n",
    "ax2 = plt.subplot(gs[1, 0])\n",
    "\n",
    "axes = [ax1, ax2]\n",
    "\n",
    "\n",
    "for ax in axes:\n",
    "    ax.get_xaxis().set_visible(False)\n",
    "    ax.get_yaxis().set_visible(False)\n",
    "    for side in ['top','bottom','left','right']:\n",
    "       ax.spines[side].set_visible(False)\n",
    "    ax.set_xlim(-2,2)\n",
    "    ax.set_aspect('equal')\n",
    "\n",
    "# Create beam profile\n",
    "beamcenters = [positions[t] for t in targets]\n",
    "poss = np.linspace(-2, 2, 1000)\n",
    "position_intensities = ict.calcCrosstalkIntensitiesAtPositions(beamcenters, bw, poss)\n",
    "position_strengths = np.sqrt(position_intensities)\n",
    "gradient = position_intensities.reshape(1, -1)\n",
    "\n",
    "for m, ax in zip((m1,m2),(axes[0], axes[1])):\n",
    "    if m==m1:\n",
    "        ax.set_ylim(-0.5,1)\n",
    "        ax.imshow(gradient, extent=[-2, 2, -0.5, 0.5], cmap='Reds',alpha=0.2)\n",
    "    else:\n",
    "        ax.set_ylim(-1,0.5)\n",
    "        ax.imshow(gradient, extent=[-2, 2, -0.5, 0.5], cmap='Reds',alpha=0.2)\n",
    "    arcdirection = -1 if m==m1 else 1\n",
    "    # Draw Gates\n",
    "    mvec = ict.calcAxialModes(N)[m][1]\n",
    "    cmap = cm.get_cmap('Greys')\n",
    "    i,j = targets\n",
    "    iondistance = abs(positions[i]-positions[j])\n",
    "    archeight = iondistance/4\n",
    "    gatearc = patches.Arc(((positions[i]+positions[j])/2,0), abs(positions[i]-positions[j]),\n",
    "                          archeight*arcdirection, theta1=0, theta2=180, lw=3, color=cmap(2.0))\n",
    "    ax.add_patch(gatearc)\n",
    "    for t in targets:\n",
    "        for n in neighbors:\n",
    "            a, b = t, n\n",
    "            relspeed = abs(np.sqrt(intensities[a]*intensities[b])*mvec[a]*mvec[b])\n",
    "            relspeed /= abs(np.sqrt(intensities[i]*intensities[j])*mvec[i]*mvec[j])\n",
    "            #print(a,b,relspeed)\n",
    "            iondistance = abs(positions[a]-positions[b])\n",
    "            archeight = iondistance/3\n",
    "            gatearc = patches.Arc(((positions[a]+positions[b])/2,0), abs(positions[a]-positions[b]),\n",
    "                                  archeight*arcdirection, theta1=180, theta2=360,\n",
    "                                  lw=3, color=cmap(relspeed*5))\n",
    "            ax.add_patch(gatearc)\n",
    "\n",
    "\n",
    "    \n",
    "    # Draw Mode Coupling Arrows\n",
    "    for i,pos in enumerate(positions):\n",
    "        if abs(mvec[i])>1e-8:\n",
    "            ax.arrow(pos,0,0,mvec[i]/1.5,width=0.03, length_includes_head=True, head_length=0.05,\n",
    "                lw=0, color='black')\n",
    "             \n",
    "    # Draw Ions\n",
    "    for i,pos in enumerate(positions):\n",
    "        color = 'b' if i in targets else 'r'\n",
    "\n",
    "        ax.plot(pos,0,'.'+color,markersize=30)\n",
    "\n",
    "fig.subplots_adjust(wspace=0, hspace=0, top=0.4, bottom=0)\n",
    "#plt.savefig('crosstalk.pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "2dd22145",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-10T01:10:30.627872Z",
     "start_time": "2023-08-10T01:10:30.554933Z"
    },
    "hidden": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 800x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax = plt.subplots(1,1,figsize=(8,2),dpi=100)\n",
    "pos = np.linspace(-3, 3, 1000)\n",
    "position_intensities = ict.calcCrosstalkIntensitiesAtPositions(beamcenters, bw, pos)\n",
    "ax.imshow(gradient, extent=[-2, 2, -0.5, 0.5], cmap='Reds')#,alpha=0.5)\n",
    "ax.set_xlim(-2,2)\n",
    "ax.get_xaxis().set_visible(False)\n",
    "ax.get_yaxis().set_visible(False)\n",
    "#plt.savefig('intensities.pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "46a1152d",
   "metadata": {
    "hidden": true
   },
   "source": [
    "## 5 ion spectrum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "f96472bd",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-10T01:10:49.334659Z",
     "start_time": "2023-08-10T01:10:49.015985Z"
    },
    "hidden": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 800x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N=5\n",
    "axialmodes = ict.calcAxialModes(N)\n",
    "radialmodes = ict.calcRadialModes(N, νratio=6)\n",
    "axialfreqs = [axialmodes[m][0] for m in range(N)]\n",
    "radialfreqs = [radialmodes[m][0] for m in range(N)]\n",
    "\n",
    "N2=2\n",
    "axialmodes2 = ict.calcAxialModes(N2)\n",
    "radialmodes2 = ict.calcRadialModes(N2, νratio=6)\n",
    "axialfreqs2 = [axialmodes2[m][0] for m in range(N2)]\n",
    "radialfreqs2 = [radialmodes2[m][0] for m in range(N2)]\n",
    "\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(8,3),dpi=100)\n",
    "\n",
    "ax.vlines(axialfreqs, ymin=0, ymax=1, label=\"Axial\", color=\"black\")\n",
    "ax.vlines(radialfreqs, ymin=0, ymax=1, label=\"Radial\", color=\"black\",linestyle = \":\")\n",
    "\n",
    "\n",
    "ax.set_xlim(0, 6.5)\n",
    "ax.set_ylim(0,1)\n",
    "ax.get_yaxis().set_visible(False)\n",
    "ax.tick_params(labelsize=20)\n",
    "ax.set_xlabel(\"$\\omega_m$ (MHz)\", fontsize=20)\n",
    "#ax.legend(fontsize=10,loc=\"upper left\")\n",
    "#plt.savefig('spectrum.pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fa9abbb0",
   "metadata": {},
   "source": [
    "# QSCOUT Proposal"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "7a9a8d85",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-14T22:45:06.103280Z",
     "start_time": "2023-08-14T22:45:06.099338Z"
    }
   },
   "outputs": [],
   "source": [
    "experimental_params = {\n",
    "    'nearest_neighbor_spacing' : 4.5*1e-6,\n",
    "    'xtalk_neighbor' : 0.0236,\n",
    "    'xtalk_nextneighbor' : 0.0062,\n",
    "    'ion_mass' : 2.838e-25, # Yt171 mass in kg\n",
    "    'axial_freq' : 0.52*2*π*1e6, # From https://arxiv.org/pdf/2210.02372.pdf\n",
    "    'xt_lorentzian_fwhm' : 1.29*1e-6\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "08abbcd5",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-14T22:45:06.501435Z",
     "start_time": "2023-08-14T22:45:06.497362Z"
    }
   },
   "outputs": [],
   "source": [
    "def nines(fid):\n",
    "    '''Nines of fidelity\n",
    "    Computes number of nines in fid. For example, 0.9 -> 1, 0.99 -> 2. 0.995 -> 2.3\n",
    "    If fid is 1, it returns 10 instead of infinity\n",
    "    '''\n",
    "    if fid==1:\n",
    "        return 10\n",
    "    else:\n",
    "        return min(10, -np.log10(1-fid))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "47e7da89",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-14T22:45:06.816543Z",
     "start_time": "2023-08-14T22:45:06.811758Z"
    }
   },
   "outputs": [],
   "source": [
    "def gen_intensity_vector_fixedxt(N, targets, neighbor_intensity, next_neighbor_intensity):\n",
    "    efields = np.zeros(N)\n",
    "    for t in targets:\n",
    "        efields[t] +=1\n",
    "        for n in (t-1, t+1):\n",
    "            if n>=0 and n<N:\n",
    "                efields[n] += np.sqrt(neighbor_intensity)\n",
    "        for nn in (t-2, t+2):\n",
    "            if nn>=0 and nn<N:\n",
    "                efields[nn] += np.sqrt(next_neighbor_intensity)\n",
    "    intensities = efields**2\n",
    "    return intensities"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "66a4ef64-efa6-4f41-9850-142f25a0d254",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-14T22:47:51.545683Z",
     "start_time": "2023-08-14T22:47:51.539334Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[5.56960000e-04 1.01243844e+00 2.22784000e-03 1.01243844e+00\n",
      " 5.56960000e-04]\n",
      "[0.0236 1.0062 0.0472 1.0062 0.0236]\n"
     ]
    }
   ],
   "source": [
    "intensities = gen_intensity_vector_fixedxt(5, [1,3], experimental_params['xtalk_neighbor']**2, experimental_params['xtalk_nextneighbor']**2)\n",
    "print(intensities)\n",
    "print(np.sqrt(intensities))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ff083ae0",
   "metadata": {},
   "source": [
    "## All gates, all modes"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "3609c1be",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-14T22:48:10.368331Z",
     "start_time": "2023-08-14T22:48:09.357197Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1.04775696e+00 1.04775696e+00 8.88040000e-04 3.84400000e-05\n",
      " 0.00000000e+00]\n",
      "[1.01243844e+00 2.22784000e-03 1.01243844e+00 5.56960000e-04\n",
      " 3.84400000e-05]\n",
      "[1.0000e+00 8.8804e-04 8.8804e-04 1.0000e+00 5.5696e-04]\n",
      "[1.0000e+00 5.5696e-04 1.5376e-04 5.5696e-04 1.0000e+00]\n",
      "[8.88040000e-04 1.04775696e+00 1.04775696e+00 8.88040000e-04\n",
      " 3.84400000e-05]\n",
      "[5.56960000e-04 1.01243844e+00 2.22784000e-03 1.01243844e+00\n",
      " 5.56960000e-04]\n",
      "[5.5696e-04 1.0000e+00 8.8804e-04 8.8804e-04 1.0000e+00]\n",
      "[3.84400000e-05 8.88040000e-04 1.04775696e+00 1.04775696e+00\n",
      " 8.88040000e-04]\n",
      "[3.84400000e-05 5.56960000e-04 1.01243844e+00 2.22784000e-03\n",
      " 1.01243844e+00]\n",
      "[0.00000000e+00 3.84400000e-05 8.88040000e-04 1.04775696e+00\n",
      " 1.04775696e+00]\n"
     ]
    }
   ],
   "source": [
    "N=5\n",
    "fids = np.zeros((N,N,N))\n",
    "fidsList = np.zeros((N,len(list(combinations(range(N),2)))))\n",
    "i = 0\n",
    "for targets in combinations(range(N), 2):\n",
    "    intensities = gen_intensity_vector_fixedxt(N, targets, experimental_params['xtalk_neighbor']**2, experimental_params['xtalk_nextneighbor']**2)\n",
    "    print(intensities)\n",
    "    for m in range(N):\n",
    "        estFid = estimateMSFidelity_errgate_allnearpairs(N, m, targets, intensities=intensities, mode_type=\"radial\", νratio=9)\n",
    "        fidsList[m,i] = estFid\n",
    "        fids[targets[0],targets[1],m] = estFid\n",
    "        fids[targets[1],targets[0],m] = estFid\n",
    "    i = i+1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "b255e526",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-14T22:46:17.999808Z",
     "start_time": "2023-08-14T22:46:17.995832Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/var/folders/gv/yynsvgks3574nr98vn9ywnsc0000gn/T/ipykernel_6275/3287224431.py:9: RuntimeWarning: invalid value encountered in log10\n",
      "  return min(10, -np.log10(1-fid))\n"
     ]
    }
   ],
   "source": [
    "fid_nines = np.zeros((N,N,N))\n",
    "for m in range(N):\n",
    "    for targets in combinations(range(N),2):\n",
    "        fid_nines[targets[0],targets[1],m] = nines(fids[targets[0],targets[1],m])\n",
    "        fid_nines[targets[1],targets[0],m] = nines(fids[targets[0],targets[1],m])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "a0de731b",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-14T22:46:18.013143Z",
     "start_time": "2023-08-14T22:46:18.010255Z"
    }
   },
   "outputs": [],
   "source": [
    "best_nines = np.amax(np.array(fid_nines), 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "e6fb390c-cd93-4952-b970-b8331a72b843",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-14T22:46:18.700185Z",
     "start_time": "2023-08-14T22:46:18.697236Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4\n",
      "3\n",
      "2\n",
      "1\n",
      "0\n"
     ]
    }
   ],
   "source": [
    "for i in reversed(range(N)):\n",
    "    print(i)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "5d4999a5",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-14T22:46:22.448880Z",
     "start_time": "2023-08-14T22:46:21.413930Z"
    }
   },
   "outputs": [
    {
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cXBQcHGyJ09PTVVZWZtXYkJAQm9YCAAAAAHuiGQYAAACHd/z4cZWUlFji/v3713nbu6pcXV01YsQI07F//etfVo3t16+f1ev4+vqa4oKCAqvHNiZXV1fFxMSYjq1YsUIVFRV2qeduVW0y1qXqbf0aOrawsNDqcZKqnV+25td0Pu7Zs8cUd+rUSZmZmTZ9eHl5WcbfvHnT6iawNbdiBAAAAIDmws3eBQAAAAB3q+oOq6q3wrNG37599emnn9Y6Z22qNrjq4u7uborLy8utHtvYQkJCNHLkSKWlpUmSzpw5o/j4eC1atMhuNTWULd8DNzfzr0Dt2rVr0FhbvndeXl7q1q2b1flS9R1sNZ2PFy5cMMUzZsywaY2a5OfnKyAgoN68Tp063fVaAAAAANBU2BkGAAAAh3ft2jVTXHX3jzWqjsnPz7dqXIsWjvtP6rVr15riyMhI3bhxw07VNNzdfA+a4vtnyy7FO6w5H69evdrgmmpTVFRkVV6bNm0afW0AAAAAuFcc9zd3AAAA4P8zDMMUu7i43PWcjTFHczd69GhNnTrVEl+5ckXr1q2zY0XO6V6dj9Y+38sWVX+WAAAAAMAZ0AwDAACAw2vfvr0pbsizuKqOseXWe45s9erVpt1RsbGxysvLa/I6Kisrm3zNpnKvzseOHTua4uzsbBmGcVcfY8aMsblWAAAAAGjuaIYBAADA4VV9ftF//vMfm+c4depUnXM6q/79++uZZ56xxEVFRYqOjm7QXK6urpbPKyoqbBpb9VaXzqS4uFgXL160aczp06dNcU3nY+fOnU1xQ857AAAAALgf0AwDAACAw+vfv79atWpliY8dO6bCwkKrx1dWVio9Pd10bNiwYY1WX3MXGRkpT09PS/zmm28qMzPT5nm++2ysb7/91qaxx48ft3k9R7Jv3z6b8q05H0eOHGmKU1JSbC8MAAAAAO4DNMMAAADg8Nzd3TV8+HBLXFFRoe3bt1s9PiUlRTk5OZb4wQcfVNeuXRu1xubsgQce0K9+9StLXFZWppUrV9o8z3d3L50+fVrl5eVWjTtx4kSDmm+O5L333rM69+jRozp27Jgl9vHx0YABA6rlTZw40RT/6U9/0s2bNxteJAAAAAA4KZphAAAAcArfvdWfJMXExKi4uLjecZWVldUaP3PmzGnU2hzB8uXL1a5dO0u8detWHT582KY5hgwZYvm8rKzM6p1KkZGRNq3jiD766CN9/fXXVuVWPR9nz55teq7bHUFBQQoODrbEFy5cUExMzN0VCgAAAABOiGYYAAAAnMLTTz+tLl26WOKMjAzNnz9ft27dqnPc0qVLTU2KVq1aaeHChfeszuaqffv2CgsLs8SGYeijjz6yaY5HH33UFIeHh9f77LDXX39d27Zts2kdR1RZWamnn35aeXl5deZt2LBBO3bssMSurq6mXXtVvfLKK3JxcbHEUVFR2rBhg831paen69ChQzaPAwAAAABHQDMMAAAATqFly5aKj483HXvvvfc0ceJEnThxolr++fPnNXPmTMXFxZmOr1u3znS7v/vJkiVL1K1btwaPf/LJJ03PDTtw4IBCQkKUnZ1dLffChQuaP3++nnvuOUmSr69vg9dt7ry9veXu7q6TJ09q5MiRSk1NrZaTn5+vX//615b3446wsDD17du31rlHjRql8PBw07HFixdr0qRJ2r17d63NYMMwdPLkScXGxmr48OH64Q9/aPNOQAAAAABwFG72LgAAAABoLFOnTtXKlSsVHR1tOZaamqp+/fopKChIvXv3lqurqzIyMnTw4EEZhmEaP3fuXP3yl79s6rKbjVatWmnVqlX6xS9+0aDxrVu31urVq007mZKSkuTv768RI0aoR48eKi0t1blz53T48GHL+//UU0/J3d1dW7ZsaZTX0dx07NhRixYtUlhYmE6fPq3x48fL399fAwcOlLe3ty5evKh9+/ZVe8ZacHCwVq1aVe/8L7/8snJzc007wpKTk5WcnCwfHx8NHjxYfn5+cnd3V2FhoXJycvTNN9/o+vXrjf5aAQAAAKA5ohkGAAAApxIVFaVOnTrphRdeUFlZmeX40aNHdfTo0RrHtGjRQi+99JKioqKaqsxma968eVq3bp1OnjzZoPELFy7UN998ozfeeMNyrKKiQnv37tXevXur5c+ePVvvvPOOFixY0OCaHcGLL76o3Nxcvfrqq5KkrKwsZWVl1Zo/ceJE/fWvf5WHh4dV87/++usaNmyYFi9erMLCQsvxgoIC7d69u97xLVq0kI+Pj1VrAQAAAICj4TaJAAAAcDqLFy/WyZMnFRoaarptX1WtWrXS448/riNHjig6Otr07KX7laurq2JiYho83sXFRRs2bFBiYqJ69uxZa94PfvADbdu2Te+++67c3d0bvJ4jiY2N1Y4dOzRq1Khac3r27KmEhAQlJyfLy8vLpvmfeeYZnT9/XjExMerTp0+9+Z6enho7dqxiY2N1/vx5TZ8+3ab1AAAAAMBRuBhV7w0DAAAAOJHy8nKlp6frzJkzysvLU2Vlpfz8/OTv769Ro0bJ09PT3iU6qTR7GwAAAURJREFUtaNHj+rAgQPKzc2Vm5ubunXrpocffrjO52DdD+7cqjM7O1slJSXq0qWLBg4cqMGDBzfaGpcuXdL+/fuVk5Oj/Px83bp1S23atFGXLl3Up08f9enTx+qdZwAAAADgyGiGAQAAAAAAAAAAwGlxm0QAAAAAAAAAAAA4LZphAAAAAAAAAAAAcFo0wwAAAAAAAAAAAOC0aIYBAAAAAAAAAADAadEMAwAAAAAAAAAAgNOiGQYAAAAAAAAAAACnRTMMAAAAAAAAAAAATotmGAAAAAAAAAAAAJwWzTAAAAAAAAAAAAA4LZphAAAAAAAAAAAAcFo0wwAAAAAAAAAAAOC0aIYBAAAAAAAAAADAadEMAwAAAAAAAAAAgNOiGQYAAAAAAAAAAACnRTMMAAAAAAAAAAAATotmGAAAAAAAAAAAAJzW/wMpJrldN1ijlQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1800x1100 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(2,3, figsize=(18,11), sharex=True, sharey=True,dpi=100)\n",
    "cbar_ax = fig.add_axes([.93, .22, .02, 0.5])\n",
    "#print(len(axes.flat))\n",
    "cmap = sb.color_palette(\"mako_r\", as_cmap=True)\n",
    "for m in range(N):\n",
    "    ax = axes.flat[m]\n",
    "    annot = np.array([[f\"{m if m!=N-1 else 'COM'}\" if (i==N//2 and j==N//2) else \"\" for i in range(N)] for j in range(N)])\n",
    "    sb.heatmap(-fid_nines[:,:,m], ax=ax, vmin=-4.0, vmax=0, cbar=(m==0),cbar_ax=None if m==1 else cbar_ax,\n",
    "               annot=annot, annot_kws={'c':'w', 'size':20}, fmt=\"\", cmap=cmap,\n",
    "              xticklabels=[f\"{i}\" for i in range(N)],\n",
    "              linewidths = 1)#, cbar_kws={'label': \"$\\log_{10}(\\mathcal{E})$\"})\n",
    "    ax.set_yticklabels(ax.get_yticks(), size = 20)\n",
    "    ax.set_xticklabels(ax.get_xticks(), size = 20)\n",
    "annot = np.array([[\"\" for i in range(N)] for j in range(N)])\n",
    "#annot[N//2][N//2] = \"Best\"\n",
    "bestmodes = np.argmax(fids,2)\n",
    "for i in range(N):\n",
    "    for j in range(i+1, N):\n",
    "        annot[i][j] = f\"{bestmodes[i,j]}\"\n",
    "        annot[j][i] = annot[i][j]\n",
    "ax_best = axes.flat[-1]\n",
    "sb.heatmap(-best_nines, ax=ax_best, vmin=-4.0, vmax=0, cbar=False,cbar_ax=cbar_ax,\n",
    "          annot=annot, annot_kws={'c':'k', 'size':20}, fmt=\"\", cmap=cmap,\n",
    "          linewidths = 1)\n",
    "ax_best.set_xticklabels([f\"{i}\" for i in range(N)], size = 20)\n",
    "cbar_ax.figure.axes[-1].tick_params(labelsize=20)\n",
    "cbar_ax.set_ylabel(\"$\\log_{10}(\\mathcal{E})$\", labelpad = 40, size = 30,rotation=-90)\n",
    "\n",
    "#cbar_ax.yaxis.label.set_size(30)\n",
    "#cbar_ax.yaxis.label.set_rotation(-90)\n",
    "#cbar.ax.yaxis.label.set_\n",
    "\n",
    "\n",
    "\n",
    "# bbox = ax_best.get_window_extent()\n",
    "# fig.patches.extend([plt.Rectangle((bbox.xmin, bbox.ymin),\n",
    "#                                   bbox.xmax-bbox.xmin, bbox.ymax-bbox.ymin,\n",
    "#                                   fill=True, color='g', alpha=0.7, zorder=-1, figure=fig)])\n",
    "\n",
    "fig.patches.extend([plt.Rectangle((1060, 50),\n",
    "                                  460, 460,\n",
    "                                  fill=True, color='orangered', alpha=0.4, zorder=-1,\n",
    "                                  transform=None, figure=fig)])\n",
    "\n",
    "ax_best.text(2.1, 2.6, \"Best\", c=\"w\", size='20')\n",
    "\n",
    "ax = fig.add_subplot(111, frameon=False)\n",
    "ax.grid(True)\n",
    "ax.set_xticks([], visible=False)\n",
    "ax.set_yticks([], visible=False)\n",
    "ax.set_xlabel(\"Ion Number\", labelpad = 35, size=30)\n",
    "ax.set_ylabel(\"Ion Number\", labelpad = 35, size=30)\n",
    "#ax.set_title(\"$\\log_{10}(\\mathcal{E})$\", size=30, pad=-20)\n",
    "#plt.savefig('bestmode.jpg')\n",
    "#plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "f653abee-ceec-46c7-b4a9-8432f52e3190",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-14T22:33:41.996879Z",
     "start_time": "2023-08-14T22:33:41.990477Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.023706314229518077"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1-np.mean(fidsList[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "88f38898-9748-42e1-a96b-60507715321b",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-14T22:33:42.479468Z",
     "start_time": "2023-08-14T22:33:42.474226Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.002423061523668779"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1-np.mean(fidsList[N-1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "242ee59e",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-14T22:33:42.946242Z",
     "start_time": "2023-08-14T22:33:42.941632Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.97629369 0.65378363 0.99636106 0.68511538 0.99757694]\n",
      "[0.02370631 0.34621637 0.00363894 0.31488462 0.00242306]\n"
     ]
    }
   ],
   "source": [
    "means = np.array([np.mean(fL) for fL in fidsList])\n",
    "print(means)\n",
    "print(1-means)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "04d10557-fdba-4dd9-bb22-00e61047030c",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-14T22:34:02.477058Z",
     "start_time": "2023-08-14T22:34:02.472780Z"
    }
   },
   "outputs": [],
   "source": [
    "bestfids = np.max(fids, 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "42003504-e5b9-45bb-9871-f915868c37b5",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-14T22:34:03.118203Z",
     "start_time": "2023-08-14T22:34:03.114004Z"
    }
   },
   "outputs": [],
   "source": [
    "COMfids = fids[:,:,N-1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "3303e962-c5c6-4f00-837d-bc5e1dfead04",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-14T22:34:03.749870Z",
     "start_time": "2023-08-14T22:34:03.743762Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9975769384763316"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.mean(COMfids[np.where(COMfids != 0)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "id": "b0e2a8fd-d52d-448a-82a3-a10d1348c506",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-14T22:34:06.765428Z",
     "start_time": "2023-08-14T22:34:06.758092Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.9990800521889085"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.mean(bestfids[np.where(bestfids != 0)])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9055bd69",
   "metadata": {},
   "source": [
    "## One gate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "d31d6b52",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-14T22:55:44.934722Z",
     "start_time": "2023-08-14T22:55:44.930386Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1.     0.0298 0.0298 1.     0.0236]\n",
      "2.275159319117117e-06\n"
     ]
    }
   ],
   "source": [
    "print(np.sqrt(intensities))\n",
    "w0_approx = np.sqrt(-2*(4.5e-6)**2/np.log(0.02**2)) #gaussian \n",
    "print(w0_approx)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "622a341a",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-14T22:55:46.121416Z",
     "start_time": "2023-08-14T22:55:45.707219Z"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 1 0.9733665145188297\n",
      "0 2 0.9654185286037831\n",
      "0 3 0.9604964333540531\n",
      "0 4 0.9725417394861655\n",
      "1 0 0.9733665145188297\n",
      "1 2 0.9992248813984175\n",
      "1 3 0.9933824024773287\n",
      "1 4 0.9604964333506355\n",
      "2 0 0.9654185286037831\n",
      "2 1 0.9992248813984177\n",
      "2 3 0.9992248813983828\n",
      "2 4 0.9654185286009946\n",
      "3 0 0.9604964333540533\n",
      "3 1 0.9933824024773287\n",
      "3 2 0.9992248813983828\n",
      "3 4 0.9733665145162288\n",
      "4 0 0.9725417394861655\n",
      "4 1 0.9604964333506355\n",
      "4 2 0.965418528600994\n",
      "4 3 0.9733665145162288\n"
     ]
    }
   ],
   "source": [
    "N = 5\n",
    "\n",
    "for t1 in range(N):\n",
    "    for t2 in range(N):\n",
    "        if t1 == t2:\n",
    "            continue\n",
    "        intensities = gen_intensity_vector_fixedxt(N, (t1,t2), experimental_params['xtalk_neighbor']**2, experimental_params['xtalk_nextneighbor']**2)\n",
    "        print(t1,t2,estimateMSFidelity_errgate_allnearpairs(N, 0, (t1,t2), intensities=intensities, mode_type = \"radial\",νratio=9))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "bfd3daf3",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-14T23:19:02.773490Z",
     "start_time": "2023-08-14T23:19:02.590733Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 0.9604964333540531\n",
      "1 0.9965749653339353\n",
      "2 0.9953653618535185\n",
      "3 0.9974454581384004\n",
      "4 0.9971258852234813\n"
     ]
    }
   ],
   "source": [
    "ts = (0,3)\n",
    "intensities = gen_intensity_vector_fixedxt(N, ts, experimental_params['xtalk_neighbor']**2, experimental_params['xtalk_nextneighbor']**2)\n",
    "for m in range(N):\n",
    "    print(m, estimateMSFidelity_errgate_allnearpairs(N, m, ts, intensities=intensities, mode_type = \"radial\",νratio=9))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "286cfe0a",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-14T23:28:06.842924Z",
     "start_time": "2023-08-14T23:28:06.629622Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 0.10454003 -0.47043668  0.7317933  -0.47043668  0.10454003]\n",
      "0.10454003021529526\n",
      "-0.4704366781496874\n",
      "0.7317932958670229\n",
      "-0.4704366781426061\n",
      "0.10454003020997552\n",
      "[-6.39533026e-01 -3.01657934e-01 -2.65660553e-12  3.01657934e-01\n",
      "  6.39533026e-01]\n",
      "-0.6395330255118309\n",
      "-0.30165793421731557\n",
      "0.3016579342122165\n",
      "0.6395330255195926\n"
     ]
    },
    {
     "data": {
      "image/png": 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DhfAJh0O9w6T77Hmqz91E193dzauvvcYrr7xK68aNo6oBhUIhZs6cycyZMws1noaGBiKR0hdd6+zupqunh1gsSpVfK5oI4XQ8Simqqqqoqqpi3tw5vT/wvxilUikOHjrEwYOH2H/gAG/s2MHOnbvIZLPDev/D7Uc53H6UdS+/SsiyaFq0gDNOXcKKxQupikZPxEeqSL3NeKVrS/kBEUaF1ZYqJpCMUIiaRQuwShQqp6MDZ/9+lNaFbiIHSKLo0QZpZ+TjYCzTIBoOEQ2HiIQjhMMhf/YGet9rEu9p3d3dvLx+PS+++Cc2b9ky4n6mqVOnsmjhQhYtWsjCBQuZMqWRnG2TzmTIpDPkhjFcW2vtN4GlOEwb0WiU6qoqqqomRziVEovFWDB/HgvmzSN/wpnj2Ozbt5/tO97gjR072b5jJ4ePHL9mmrNtXtm8lVc2b0UpxSlz53DuslM5Y/Fiqgb5IiBGJn8EKF1bApfKCqWKCCQrFqVu4UKMUN+Pq7Umd+AAbls7hqHQSpFWBt2mRWoEo+kUELFMoiGLSNgiGg5hmkVXiK2Q2Rtc12XTptd5+plnePW114Y9Ci4cDrNg/nwWLVrIooWLWLhwwaDNV/lB+Y7jkM5kSKczXkhlMscNvXQ6TTqd5nBbG1XxODU11cSi0ZPe53aymabJ3DmzmTt7JpddtBK0pqurkzd27mL7jp28sXM3O3bvITtEzVVrzeZdu9m8azc/N55kxcIFXLziNE6ZM/ckfpLJ6Xh9S5UUSpM+kMxwuGQYubZNZtdudDIJQI9lkbQsnGHONBA1FVV+CIVDJsow/XOTKiN8inV1dbF23XM8s2YNR44cOe7zDcNgyeLFnHHG6ZxyyinMnjVrxDUW0zQLTXHgj27MZkml0/QkU6TT6SFf3+PPxmBZFjXV1dRUJyZtramU6kSC05uWc/rypeBqHDvHvv0H2PzGDl5tfZ0tO3cNGvCu6/LKtu28sm07U2prWdnUxLlLlxGPxU7yp5g8+vYtDVQpoTSpA8mwLOoWDQwjJ50mtWMnruOQjIRJW8e/uqtCEzMUVaYiHjK9s+SVcUJmapgoDh85wqOP/oY/vvDCcWc8CIVCNDc1ceYZZ3Daac0kEomyrotSikgkQiQSoa621h+5lvJmZkilBj242rZdOJ+nOpGgvq6WUOg4IzMmIdM0mTtrJnNnzuDKC8+ju7uHDZu38MrGzbRse2PQJtIjHR08vG4dv37+ec4+9VTedM451FfXnOS1nzzynQOl2hYqIZQmbSApw6Bh8QKsSN8pgOzuHrp27SIdsshEhrhcMaC0JqY0CQPipsIwK7MG1N/hw4d59De/4bnn/zhks1woFGLFaadx7rnncFpz80mdp80buZagujqB67okUym6u3uGDKeu7m66ursrOpjyEvE4F56xggtXNJPNZNiwZTsvtm5iw7bt5Eqc1O24Li9s2sSfXn+ds5cu5Yqzz6FOgmlUlPKCpxJDaVIEUr55JpofsKAUDYsWEOrXhGCnUhw+cIBMLDrkXzSkXaq1Q0KB6U3ONvhk3/Re+0S74Kp8O7DrXdocQLlFv6/ohFRDYSiF8h8rpQLdn9HZ1cWDDz7EuueeGzKIZs+axSWXXMIF559HLADNOIZhkKiqIlFVheO6dHd309nZNWifSXEwNTTUYwW4Kc+2bY4dO8bR9qMcPXaUo0ePcfRoO8lkCsexcRzvJGa0xlAK0/TOW4vHotTX1lFfV0N9TS31tdXUVVeX/KzhUIizl53KWacuIZlK88KGjTz9ymvsLzFk39WaFzdt4qXXX+espUu56vwLiEfHfx8YTO/0Pt6Vi7T2T1LVeJcoR/tjsIvKr3eHUt5xQYF3jKB85wCOJJRSqRRAIMraWE34QEqn03zs7z8LwA///ZtEo1Ea5s8j0q9JyM5m2XfoEK41yMFFa2KOQ7XrEFXaH+Rg4CqFY1q4holrmrjKxPWXu/kKdt9JqyixYEQMf8aF/GwA+VkXTP+8pJMdWq7rsnbdOu5/4Jck/T63/izL4pyzz+bSSy5h0aKFgQ1W0zCoramhprqaTCZDR1cXPT09lKo0dXV305NM0thQT3UiMS4nHB84cIDXX9/Mlq1beOONN9i5cyc7duxk7759HD16lK4RnHc0HPna4ewZ01kwZw7z58xm4ZzZnDJ/PqcunM/0xilceuYZrFpxGtv27efZVzfw8tatA+ZfdLXmT5s20frGG1x9wYWcuXTZSf9arwGtDLRl4ZohtNlbhrVheLPIlVonXXyv+y0sVnr6r3wZ9cpx0cwe+QAb7mCpYYRSOp3indevBuCXD9w/4UNpQgdSPoyeee45AD7295/lJ7feRqyu7wSpjm1z4NAh3FJHHa2J52yq7RyGaaIjYdLhME4ohGNZw5ouqNxcrXEdp+T+rvCao0zLJGRa3gm0J/CSD/v27+fuu3/G1m3bSv48FApx2aWX8uarr6KmZuI00SiliEajRKNR7IYGjh3roLOra0Bznuu6HD7SRldXN1OnNJ7QZsc9e/aw7rnnWLfuOZ5//nlaWluPO8lqueVrh7v27GXdiy8N+HlNIkHTKUu44PTTueCM07n89DO47qKL+N1LL7G2pWVAX1Mqk+Ghp59i/ebXufaSS5lS13DC1l2bJk4kghuJ4IbDuFao5MntJ5rW3gnMLpQsw/nZVfK11aHK71ChlEylWL16NY89/jgA77x+9YQPJaWHeYKITvf4bVOuf1/82PVmw9bau3fd3mWuLvxbO971ZHA12nH9p2t/3i//QAyFP6amd5nr/1G0BhdNOp3mlr//LE/7YZR31VVX8cADDxT+KK7rsn///oEnY/o1oqhlocJhdCSCDnDTzFAMpbzphfzZsy3TLMu3+WfXruXn/31PyRNZw+Ewl116KVdffRU1x51hYGKwHYdjHR10dg4MJvBCbEpjQ5/P+xd/+Vf88Ec/AuBjt9zCD77/vWH9Lq01GzZs4LHHH+f55//IuueeY8+ePeX5ICfZ7OnTOf/0Mzh9+TJiNTXsbm8vOWO9ZZq89eJLOH3p0kHbEIrP+DP85m0DbwCrd+81mRmACodRsRhEI+hIBEpMAzYRKKV6A8r0rjXWv/zqfqGU8sPocT+M8t589dXBDCVjeMfWCfkXHCyMAJ544glWr17N/fd7f5TDhw8POKCGUMTicYxIeIyNa/1prz8o367cbzJTKG4A0H6uj/23u1qTzeW8PpG09w0sHAoRDodGFU6O4/Dz/76HZ9asKfnz8847l3etXk3tYJfqmKAs02RKQwN1NTW0tR+lu6enz8+11hw+0kYmk2VKY8OIt6vWmhdeeIF7fvELfvngQ2wbpNY5WpFIhPr6eurr6kgkqvyDmz+lE7pwWRDHceju7ubosQ6OHjs25sld9x48yAOPP8YDjz8GwPzZs1myeDE1jY1MnTq1sJ1sx+Hhp//A3sOHuPqiizCGeZDq+yHDqKoEVMW9KzqPac37638pCNWvRU8V/T5d6Dse82/VujDzPeT8OSxNQpbVe6HHoprSYGEE8Njjj0/omtKEDKS1L77I0sWn0Fh/FWtfhIOHpwIxGhrinHVWmKlTd/H73z/J5ZdfVujwA+/bVSweH/noKa0xtYOhNYbWmMq/YLGi0EaslIEy8yfCFo3G63NibD6p+s7UoHX+ol4aV+tCzdHRbp9ZtYfLdV3vpNFMBsMwiITDRCPhvk0DWsPLL8MLL0JrK6RSEIthLz2Ve97YwTPd3QPa16dMmcIH3vc+mpqWj2z7TTCWZTF92lSqkwkOt7UNGNLe2dVFLptlxr59XLpxI6cBMWDR2rXw/R/AeefCWWcVtt+hQ4f4r+99j5/89G629rtUxHBEo1FOOWUJSxYvZv78BSxcsIB58+YypbGR+vp66upqqa+rKzoAFS4JXHQ/eOtGqifJ0aNHvcERR49x5MgRdu3Zwxu7drNz12627tjJljd2kB5mcO3cu5ede/cCUF9fz6JFi2hubi6s30sbW2nv6GT5/Otpeb2aLdujpDMG0YjLqYvSnNGc5LSlqd5kMA3M2hqsRDUqPIqRj1pjuA6G66DQGNotzBPnDSjyRuWqQpnN39OvHBfNK1lUjr3yq4q+ZObLcv7qwrp0d8Ggq6vJ5myyORtDKW+uSyvkzdiv4cknn+S05mbeMnUqPX/4A3X79hED4o2NRM46k93TpvLk73/PNddeO/JtNc4mXJNdNgc/faCRH/9sKm/sivrPygFeB6LWJlorlizR3HxzO+961zFCIa+JKRaLHf9breti2TksO4fp2JjaxTC84PHOOfLPPcqfBGsYRcuLd+bhB9KAxyXmsstvn/w3XNv2ZtAeyTe0aCRCzDQwbr0V/vNbsGWL93stC7T2RgXmcijgYG0tv1+xgmeWLcM1Ta64/DKuf+c7K+4S267r0nb0KJ2d/uCBXI6a//5vam+/nfCOHUV7n3dQs/Jl45RT6PrIh/nqwYN85wc/HHQwSH91dXVceMEFXHjhhZx/3nksX76MuXPn+l8m/L924Y9e9NfvU4xHFki4/cuw03eZ6+LaDrv27qV18zb+uP4Vnnt5Pc+/8iodwxxUYVkWzc3NrFhxNjt2XM1rr72Jjo7pKDSm5a+nAsf2RrstnJfmlg+28eGPOMSn1KCG2xfkuhjZDGYuh+HkvC+SaO/1+XJbXI5Vv2WDld0hAslbNFT5Vb39Sq7G8S/h4ozwsjThUIgQoH78Y9S3voXasmXI/Y/PfBpuuQWCcPrCMGvDEyqQWrdG+eSX5rNxS9SfmHCIc4iU957LlmX57nc7Of30QXZo28bMZDCzWUzbxnRtTEP5E6wahctPqHEOJEp81vxlH/KXO8/l7CG/iZkbN5L4q7/CbPWukaOGeG7+J3sbGzn2rW9x2vveO+hzK0FXdzfHnl3LtM9+lvCmTaDUcbefBl4FbgRaBnne3Llzufrqq7ho5UpWXnghS5cuHaKTe/wCCdcru9rV4Jdj23bYtP0N1r28nudfeYXfrVvHngMHhtiKzcBPgdP9dR+qM9/7PM3NLj/8YYqmpkEO3raNSqUwMhmMXBbTdfxiaICpvJpPvuyOYyCVkm8RcfxLttjO0NcWM1pbiX3sYxgt3t401P5XWJ8VK+CuO+G00wZ/7skw2QJpzYtVfPBTi8nZCscZftu9aWrCYfj5zzu5+GK/6SVno5JJzHQalcthkm96U4Xa0EQIpAF/I3/nztk5Mtlcn3OFrGefpea97/VqQCO4RLo2TVQ4DI/8Ci67bNivm3Seegp9zbUj3n45//ZW4Gl/2eLFi3n/+97LO9/xDs4666wR9EUFK5AK5dYvw47WrN+0iYd/9zvu++1veGP37qJ1uhR4FO/6JMP/xp4vv/fem2TVKm+761wOurtRyRQqm/XyxB9i7ZXjiRFI/eVrULbjDLhumLlmDfEbbhjx/odpQhDK72QKpJatUf7splPJZhWuHn4YFbaF4e3Ujz14gKbZx1C57IARO5MhkHrfShU6SjOZDPYrr1J79dWQzaJGc9lvw4BIBJ5bN/7ftMbDhg1wwYWQzXr78gg5QAb4+tvfznX/4x84//zzC3+jkQl2IPX5Eqk1L762gVvvvYdfPLIT110HRICRD2QwDE0kAo8/dIjls4+iMhm/D1f19uVOgkDqfStv33Bcl1zOxnn1VaquuGJil9/JEkiZrOaqG5fy+vboiGpG/ZmmZtniFE/ctYVI2NtFJnMgFeRy6PPPh5bWkX2z6s+yoLkZnn8uGG3SJ0suB+dfAC0tMIbtp00TddppfbbfZA4k7x4yOc1l713Itp0JtB79aRWmqVm+OMUTP9lCOMSkD6SCXA7t738TuvwOM5CG2VM4fu56oJGNW8YWRgCOo2jdHOOuBxrLtGYTxI9+hHptw9h2ZgDbhldfBf+cm4rxox/Ba6+NKYwAb/tX4Pa764FGtu2oGVMYgVd+WzbHuLMiy+9rFVN+Ax1IWsP375460i8Yg1Pw/bunMOIvphOV1t5ounL61repmA0o229MtIYf3D21fG8o5XfsAr7/BTqQXt0UY/uuKHoU/UalaK3YtivKa69PvBPGRuXll72h3eXaAbWGzZth/fryvF/QyfYbk0L5LdM3Sq0V23ZK+R21CbD/BTqQXm6J9Tk3uhyU0rzUUiE79Asv9mvbLgOlvPetBLL9xkTK7xhV4P4X6EDatC2KZZV3h7ZMzaZt0bK+Z2C1tpZ/fi/L8t63Esj2G5PXt0v5HZMK3P8CHUjpjFH25k6tIZUO9Mcun1Sq/O3FWsMwZx2Y8GT7jUlKyu/YVOD+F+i/bDTinpAaayw6irH8E1EsdmKq/PF4ed8zqGT7jUlMyu/YVOD+F+hAWrY4jW2X9w9iO4pli9Nlfc/AamryhnuWk21771sJZPuNydJFUn7HpAL3v0AH0lnNqbKN0MnTWnF2c+r4T5wMzjv3xFT5zzu3vO8ZVLL9xkTK7xhV4P4X6EA6fVmKRfPShYkWx0opzeJ5aVYsrZAd+qyzvFl/y1XtVwpOPRXOPLM87xd0sv3GpFB+yzTSTinN4vlSfkdtAux/gQ4kpeAvP3CYso0c1fCXHzhS9mbZwFLKm4K+nD79qfK3aweVbL8xUQr+4gOHy/eGUn7HLuD7X8XNZfc7fy6sSprLrhxzsRXmwvrj8xP2UtGjcgK3X6XMZXd1mcrv8sUpfvfTLYSsyprLblKU38kyl10oBN/92k5ClsYYZdOdUi4hS/Pdr+6qqGMp4G3Au+70pqAf7kXO+jMM733uvKOywghk+41RKAT/76s7sUwHb97zkTOUlvJbIftf4AMJYPmSND/99jbCYY1pjjSUcmid5iPvuZ1liyuk7bm/007zrocSiYx8h7Qs73WP/KoyLz0Bsv3GwHVdXnrtbrR+K95FOHIjer13PSTNz76zjeVLKmR0XX8VtP9NiEACuOicHh65czNLF6fAv4L90Fz/tgE4n+/e9VHe+bFb2Lx9+wlf10C67DLveijNzf2aHwaRf05zs/e6Sr44H8j2G4XN27dz/V98jL/76r+QzT0BnI9XHvNlc3BKeWV86eIUj965mYvO6TkJaxxgFbL/TZhAAli2JM0jd27mq/+whwXzMgAoNJblYpkuluUWgioa2QV8Eq8QeJf8XffSS1zy3nfz+X/7Bsc6O8fnQ4yn/PV4vv0tWLIE8Nr8s/7NNozeHf2UU7znPf/chPhmdVKU2H4o5TWHWJZ3L9uPY52dfP7fvsEl73036156qegnLcD5LJj7DebNztd2evdApexC+V0wN8NX/2EPv75zM8sqtWbUXwXsf4Ef1JBf5mr8n4GL9/wNr8d4pTXO5u1R0mmDaNTl1EVpzmhKcuqiTr7y79/gJ/ffV/Lz1CQS3PKe9/LxD36QGY2Nk3dQw2C0hvXruetv/pb2NWuIA4uam7nyk5/0zlM488xAj8YZd/7244UXvbnBkknvDPimpmFvv8k2qGH/kSN89+6f8uN77qGzu7vkJ7hx9Q388+f+PywrxIbXY3zl35/khfVZIM6pi2fy4feezhlNSZqXpjCVN0DBwB93QN+BSBUxqGEwZdj/TqrJcsXYwQIJ/+elVl4Vboqn1j3L5//16+zet6/k54qEw9z4jnfwt3/+5yyeN69yAsn3F3/5V/zQv2jXx265hR98/3vDfq0Ym8kSSFt37uL/3n47P3nwQTLZbMk1nztrFv/6+S9w+cqLvS+U/tp//mv/ws8eeACA919/Pf/ri/9Y2NMNJJAmjckyym6srrjoYp68514+85GPEgmHB/w8k83y41/8gtOvu46bPvc5nn7hBdzRXLdeiAriui5P/fEFbvr7z3H6ddfx41/8omQYRcJhPvORj/LkPfdyxUUXj8Oaiokk2GMAyyQei/H5T3ySG6+/nq9+61s89MTjA76duq7Lvb/5Dff+5jcsmD2bm65/Bzdd/04WL5g3TmstRPBs37Wbu+7/JXc98CA79u4d9HlKKd5+1dV86dOfZu6s2YUWDyGGUhGBlDd/9mx+/L+/wbadO/jOHXfw8189TK7E5IU79u7lX77zXf7lO9/lsgvO46YbVvPut/0Z1TU147DWQoyvzq4u7nvkt9xx7308/cehL+4Wsizef911fOJDN7N4/gJcNK4kkRimigqkvFMWLOBbX/4yX/jrv+a/fvpTbr33F3QPco2Qp55/gaeef4GPf+mfeNNFK7nuzVdz3VuuZs6cWSd5rYU4eXbv3cfDjz3Ow799nCfXPUc2O/T5Q4l4nI+++z389Qc/yPSpUwszNQgxEhUZSHmzpk/nq5/9LJ+75RZ+8uAvuevBB2ndurXkc7PZHL/5w9P85g9P84kv/CNnn34a173lzVz3Z2/mrDPPCNSAFiFGSmvNy6+8ykO/eYyHf/MYL7+2YViva1qyhJve8Q5ufMc7qa2pKQxEEmI0KjqQ8upravjMzTfzmZtv5pVNrdz14EP8/JFHaD/WMehrXnp1Ay+9uoGv/Ns3mT1zJlddfilXXHYJb7rsUubMmXMS116I0dmzdy+/f+ppnnzqGZ74w9Ps3b9/WK9rqKvlfddey03veDtnLm/qHS17gtdXTH4SSEWUUpzd3My5K07j3/7H53jkD09z+/3389gzz2IPcaGsvfv3c8fP/ps7fvbfAJyyeDGXrLqIVStXsurilSxevGRyDuUUE4bWmq1bt/Ls2udYs24dz6xZy5Zt24b9+lAoxNWrLuLPb1jNtZddRtiyCsO+Rz58XYjSJJAGEQmHWf1nb+aGa95CR08Pjz2zhoef+D2P/P5JjnUMPcvDlm3b2LJtG7fecRcA06dP4+KVK7n4ootYdfFKzjzjTEKh0Mn4GKJC5XI51r+ynjXPruPZtWtZs3Ythw6N7FIQ9XW1XHPF5Vx31Zt4yyWrqElU9TkPSYhyk0Aahtqaat5z3TW85x1vI2c7PPunl3josSd4+LePs23HzuO+/uDBQ9z/ywe5/5cPAhCPxzn7rDNpamqiuamJpuXLaG5uZvr06VKTEiOitebgwYO0tLTQ0rqR1o0baW1t5aWX15McZKDOUBYvWMDb/+xq3n71VVx83tlYhtHnxFghTiQJpBEKhUJcftFKLl91Ef/nf36ZTdu28/s1z/L7p9fwhzVrOXrs2HHfI5lMsubZtax5dm2f5Q0NDTQ3NbF8+XKam5pobvZu06ZNk6CqcF7wHKC1dSMtLa20tLbS2tpK68aNtLe3j/p96+vquOKSi7nikou58pKLWbp4Mar/7A1CnCQSSGOglGL5qaewfNlSPvGxW3C0yysbWnlm3XM8u+551qx7jgMHDw77/drb23lmzRqeWbOmz/J8UDU152tUElSTldaaQ4cO+aHT4tV4/AAaS/DkzZg+nVUrL+TilRdwycoLOeO0Jkxl9J06SLqExDiRQCoj0zQ5+8wzOPusM/nMJz6OBrbv2MGadc/z7LrneHbtOjZu2jTi9x0sqBobG2luamLZ8mUsmL+AuXPnMHfOXObNm8vs2bMJl5gqSYy/bDbL3r172bVrN7v37Gb37j3s2LmDjX6TW1tbW9l+1/Jly7j4opWsumglq1ZewML5872Z1frPZSdEAEggnUBKKRYvWsTixUu4+aYbAcWRtiM8/8cX2dDa4jW/tG5k46ZNpFIjv3hgW1sbTz/zDE8/80zJ3z19+vRCSM2dO5e5c+cwZ/YcZsyYzsyZM5kxY4Y/zaUoB601XV1d7N+/nwMHDnDgwEH27N3D7t172L27N3wOHjxY9pFpsViMpuXLaVq+jKam5ZzW1MwF55/LlMYplJxcVYgAkkA6yaZMmcK117yVa695a2GGYNd12bFzJy2trV5AtW6kpbV11EEF3sHROyge4IUXBp/uxTR7Z+F9/PHH+fgnPsmMGdOZMX0GU6dOpbo6QSKRoLq6unBLJBKTfpRgLpeju7ubrq6uws37dzeHDx/mwEEvcA4cONDn8Wj/XsMVi8VYvmyZ19fYtJzmJq+/ccH8+RiFS1z3n+1biIlBAikADMNg0aJFLFq0iOve9jby09U7rsOOHTv8DuxNtLa2eEG1cRPpdHkuWuY4TuHxjp07+a/vDe/yE5FIpE9AVVcnqE4U/7vaW5b/d6K6sCyRSBCPxzFNE8MwCrf+/y6+gRfcpW6O4wz4dzKZLARIV1cXXd1dRQHTXRQw3s+6urr7BFAmkynL9h2taDTK8uVe8DQ1Nfv3y1iwYAFmYSr/wS4/IcTEJIEUYKZpsnjxYhYvXszbr3t7Ybnj9AZVS0srW7ZuYc/uPeze4zUNjWa470hlMhkymQxHjhw54b9rsqqqqvKaUufMYc7cOSxZvMQbWdnU5AWP2f8aMv2vhyTE5CKBNAH1Darr+vxMa82xY8e8PovdXp9FoR9jz2727fP6Nzor8RLuJ1FNTQ0zZsxg1qyZfh/enN77uV6fXm1trYySFKKIBNIko5SioaGBhoYGzjjjjEGfl0wmOXjwIH/zt5/loYcfBuCss87k3HPO5cCBA+w/cICjR48WmrBOdN9I0MVisUITZX19PTNnzGDGjBlef9uMGcycMbPwePr06cTj8eO+p0y5I0RfEkgVKh6Ps3DhQqZPn15Ydu455w56CXPbtunp6enXwd+v72WwfpoSfTSpVAqtddkPykoplFJ9AqS4j2uo/q3C8/r0g1VTVVWFZUlREeJEk1ImhsWyLGpra6mtrS3r+2qtBx2sUDxIARhy0EP+Jk1gQkxcEkhiXCmlME2zRAe+EKLSGMd/ihBCCHHiSSAJIYQIBAkkIYQQgSCBJIQQIhAkkIQQQgSCBJIQQohAkEASQggRCBJIQgghAkECSQghRCBIIAkhhAgECSQhhBCBIIEkhBAiECSQhBBCBIIEUgW67777qamrp6q6hltvu62w/NbbbqOquoaaunruu+/+cVxDMZn9+ne/o/myS1i+6iLueeihwvJ7HnqIZasuoumyS/j17343jmsoxotcfqIC3XDDalKpFDd/+MO4rltY7jgO6XSaO267jRtuWD2Oaygms2uuvJJUJs3f/fOXB+x/Ga355j9/hWuuvHIc11CMF6khVagbb/wgd9x2G4bRuwsYhsEdt93GjTd+cBzXTFSC1ddcy//5568M2P/+zz9/hdXXXDuOaybGk9SQKlg+eG7+8IcBJIzESXW9Hzx/989fBpAwEhJIla44gCSMxMl2fVEAXS9hVPEkkIQEkRhXEkQiT/qQhBBCBIIEkhBCiECQQBJCCBEIEkhCCCECQQJJCCFEIEggCSGECAQJJCGEEIEggSSEECIQJJCEEEIEggSSEEKIQJBAEkIIEQgSSEIIIQJBAkkIIUQgSCAJIYQIBAkkIYQQgSCBJIQQIhAkkIQQQgSCBJIQQohAkEASQggRCBJIQgghAkECSQghRCBIIAkhhAgECSQhhBCBIIEkhBAiECSQhBBCBIIEkhBCiECQQBJCCBEIEkhCCCECQQJJCCFEIEggCSGECAQJJCGEEIEggSSEECIQJJCEEEIEggSSEEKIQJBAEkIIEQgSSEIIIQJBAkkIIUQgSCAJIYQIBAkkIYSYwB599FEeffTR8V6NspBAEkKICerRRx/lnatv4J2rb5gUoSSBJIQQE1A+jLLZLNlsdlKEkgSSEEJMMMVhlDcZQkkCSQghJpBSYZQ30UNJAkkIISaQyy67jLbDh+jqOMaf33xzYfmf33wzXR3HaDt8iMsuu2wc13D0rPFeASGEEMMXj8cLj0OhUJ/HiURiPFapbKSGJIQQIhAkkIQQQgSCBJIQQohAkEASQggRCBJIQgghAkECSQghRCBIIAkhhAgECSQhhBCBIIEkhBAiECSQhBBCBIIEkhBCiECQQBJCCBEIEkhCCCECQQJJCCFEIEggCSGECAQJJCGEEIEggSSEECIQJJCEEEIEggSSEEKIQJBAEkIIEQgSSEIIIQJBAkkIIUQgSCAJIYQIBAkkIYQQgSCBJIQQIhAkkIQQQgSCBJIQQohAkEASQoyr795+G9+9/bbxXg0RANZ4r4AQonJ99/bb+MZ3vl349yf+/MPjuDZivEkgiXGjtUZrjeu6x70BGIZx3JtSCqXUOH8yMRz9w+gb3/k2CgmlSiaBJIbFcRy6u7vp6uoq3Lx/Fy3r7ip6Tv/lPX1em8lkCkFTboZhEIlEqK6uLtwSiSqqE9VFyxL+8sSA5YlEot9rE5imeULWtVL1D6O8/+0vk1CqTBJIFUprTUdHB3v37mXfvn3s3buPffv9+33e47a29kLwJJPJ8V7lYXNdl1QqRSqV4tChQ2V5z3g8XgiqxsYGZs2cxaxZs5g9exazZvr3s2Yxe/ZsamtrpZY2hF//7nfc98ivWLJwIQcPH6aruxuA6kSC6VOnct8jv2Lh3Hm87cqrxnlNxckmgTQJpdNpP2T2sm/ffj9ovMd79/n3e/eSSqXGe1UnjGQySTKZ5NChQ2zbtm3I58ZiMWbPns2sWTOZPcu/nz27T3DNmjWLSCRyktY+WK658kreeuWVaODzX/sXfvbAAwC87eqr+V9f/EckyiuXBNIE5DgOb7zxBq0bN9LS0sqWrVvYXxQ27e3t472KFS2VSrF161a2bt065PMaGhoKoTVz1kxOWXIKzc1NNC1fzsKFC6WZUFQcCaQA6xs8G2ltbaF140Y2btxEOp0e13WLRqND9tF4zVu9fTGJqkSfvptoNIppmpimOWBgQqllwICBDo7jlFzmOA7pdLpPX1Z3T3H/V3dRH5jXx9XV1d2nj+xkbN/29nba29vZsKGl5PZdvnwZzU1NLF/eRHNzE81Ny1mwYAGmIUElJicJpABwHIc3duzwgqd1I60trV7wbDo5wTNlyhSv/8PvA8l/a586dSo1NdUlO/kta3LvOrZtlxzE0dnZxeHDh9m7b2+hv23vPu/+yJEjZfv96XSal19ez8svr++zPBqNsnyZH1RNy2luWk5zUxML5s+XGpWY8Cb3USWAjhw5wnPPv8BrLS1s9APoRAVPPB5n9uzZAzvei/o1Zs6cWbF9GUOxLIu6ujrq6uqG/ZpMJsP+/fv79df1HTCyd+/eMQ0QSafTvLx+PS+vX99neSwWY9nSpTQ3LWf58uWsaG7mwgvOY0rjlFH/LiFONgmkE0hrzfY33mDNuudZs3Ydz65dx6bXXy/b+zc2NtLc1MSy5cuYP29+oWYzZ85sZs2aRU1NjYz2OokikQgLFixgwYIFgz5Ha01nZyd793o1rHy/385dO9m0cRMtra20tbWN+HenUqmSQbVs6VIuvmglqy5ayaqVF7BowQIZNCACSwKpjBzHYf1rr/LMuud4dt3zPPvc8xw4eHDM75sPnia/w7u5qZnm5iamTp1aMnAkhIJLKUVtbS21tbUsX758wM+11hw6dIjW1o20tLbQ0trKxtaNow6qTa+/zqbXX+fHt90OwIzp01m18kIuuvB8Lll5IWeuaMZUMoOYCAYJpDHQWrNp8xaeePoZnnzmWf6wZi3HOjpG/X6F4Gnyg6e5qSh45KBRCZRSTJ8+nenTp3PFFZcXlmutOXz4EC0trbT4fYytra0jDqoDBw9y7y8f5N5fPghAfV0dl6+6iCsuuZgrL1nFsiWLpQYlxo0E0gjlcjnWvPgnHnrsCR7+7RNs37lzxO8Rj8c55+yzaG5u9ms8y2lubi6q8fiHBDkyCJ9SimnTpjFt2jSuuPxyf6n2g+owLS0t3oCYjRtpaWnhTy+9PKy+qqPHjvHAr37NA7/6NQCLFsznujdfxdvffBWrzjuHkAyUECeRBNIwdHR28dgza3jo8d/x6yf/wLGOzhG9fvr0aay66CIuvugiVl28kjNOP4NQKATFTWvSzCZGoRBUU6f2CapcNscrr77CmmfX8ezataxZu5aDB48/a8X2HTv5zx/8mP/8wY+pr6vlmisu57qr3sSfXXoJ1VXxE/lRhJBAGkwmm+VXTz7FHQ88wONr1pLL5Yb92lOXLOGSVRexauVKVl28kkWLFqMMA1B+rUfCR5xYoVCIc885h3PPPoe/+dQn0K7Ltm1beXbtc6xZt45n1qxl83FO3D16rIOfPvAgP33gQUKhEFevuoibV1/P2y6/nPAkH/YvxofsVUW01rz4Wgs/eeghfv7IIxwdZk1ozqxZXHX5pVxx2SW86bJLmT17NijDq/Xkb0KMI6UUSxYvZsmiRdz8wfeDdtmzZw9PPv0MTz71DE/84Wn27Ns36OtzuRy/fvIpfv3kU9TX1vC+a6/lpne8g7Oamk7ipxCTnQQS0N7RwV2/fICfPPQQG48zT1neOWes4Lq3vJm3v/UtnHH6CpRhgqG8IBJiApgzezY3ve893PSed6Ndh1defY2HfvMYD//mt/zpldcGfd3Rjk7+6+6f8V93/4ymJUu48e1v56Z3Xk9tTc1JXHsxGVV0IO09eJDv/uQubrv3XnqOM9FoOBziyosv4ro3X83b3nwVc+bM8sLHMKQGJCY8pRRnrjiNM09r5p8++2n27NnHw489zsO/fZzfr11HNlu6ybp161a+8M1v8vXvfY8Pv+tdfPyDNzJj2rSTvPZisqjIQNqyYwffvv12/vuRX5Gz7SGfe/kF5/Ohd6/mhmveQnVNTW8ICTGJzZk1k7+++Ub++qYP0NXZyf2//i133Hs/f3jujyWf351M8u077+R7d9/N+952HZ+8+WYWz19wcldaTHgVFUh79u/nK//xHzz0xONorQd93sI5c7jp+ndw0/XvZNH8uWAaKENqQaIyVScS3Pyu1Xxo9TvZvnM3d93/S+564EHe2LNnwHNztu01fz/4S95x9Zv5p898hlkzZo7DWouJqCK+6mdzOb59262sumE1Dz7+WMkwMgyDd7/1rTx++61s+u2v+adPfpyFc+eMw9oKEVwL587hnz75CTb99tc8fvutvPutby3Mxl5Ma80vH/stq25Yzbdvu5XsCEapiso16QPp6eef48r3voevfefbJEtMYBqNRPjYe97La7/6FXd+4xtcet55JQuYEKKXYRhcet553PVv3+C1X/2KW979HiLh8IDnJdNpvvadb3Ple9/DM398fhzWVEwkk/bIm83l+PzXv8r7P/7XbNu5Y8DPaxIJ/u6jt7Dh14/yf7/wBRbOkdqQEKOxcM4c/uOLX6Tl0d/w2Y98lOpEYsBztu3cwfv++q/4H1//qtSWxKAmbB+S1vDa6zFeaYmzZXuUdMYgGnE5ZVGaBXMP8B8/+CteWP/ygNcppfjwu97Flz7xSRrr6ir3FFWt4eWX4YUXobUVUimIxaCpCc47F846S0YPDkW23wDTGhv58qc/zSc/9CH+5Tvf4fb77h3QPP6T++9jy443+O7/+jf2H5rF1jfeDFwOxPjTK7P46X2NnNGc5LSlKTl/fCj+/nfpxo2cBsSARWvXwvd/MKH3P6WH6t0votM93kbQrn9f/NgF13/s5h/7964u/Fs7Gu0v047rP13jutp7rDUuXvuzC2h6l7kaXCCbg58+0MiPfzaVN3ZFUWhMS3tPVmDb+bngNgP/AfwQ8EbSndXczDc+/wXOaW5GAYZS3j1gGAqlFIbhPzYUGP5ghvygBsPoHWWXP+fIMIqWq6ITYotPjM0PDe83U8OgUweVmstu+DvXkLN953Lwox/Bf34Ltmzxfq9leX87pcC2vcennAKf+TTccguEQsP+3ZNeGbffMIte8Sv63BU98H5n8fN0//uhym7/Muz0XZYvs66LdjX45bhQbv0yXFxmNfCnlhb+v3/9Oi+3FF8R1wI+hmX+PbazyH9FDvDKH9pEo1g4L80t7z/MB69vIxLyipZB3zKrlPLvveWGofxyjDcziqlQRlHZzZfb4nKs+i0brOz2OcG9xIwrQ5bfkQXDSMpv79bzPrOV//sGrfwO8yrHEyqQWrdG+eSX5rNxSxQF6CH/0K5//yrh0Ef56ufeyodWr8YyTC83qMBA2rABbvoQvOaf9DjUnz7/HitWwF13wmmnDfv3T1pl3n6TPZBcDTnH5s777+fL3/wm6cxi4CfA6f56Dt5joPzPtvyUNP/vqztpOiUtgTSRy+8wA2nC9CGt/VMV137oVDZvj+Ltrsf7Ixv+7TSUep4lC26u7MEKTz0FF1wILS29B6Wh5J/T0gIXrvReX8lk+42KaZrc/K538z///mHgBaCZ3rI5OO2X8de3R3nrh05l7Z+qTsLaBliF7H8T4gi9cWuUD35qMdmswnFG2i5qkcuZfOBTi9m4NXpC1i/wNmyAa66FbBYcZ2SvdRzIZODat3nvU4lk+43Jxq1R/unf34ShosDImo8cR5HNKt7/SSm/lbD/BT6Qcjn4+Bfnk7MVrh5dJ52rFTlb8fEvzaPiBvjkcl41P5fzml5Gw3W913/oZipuA8r2G5NcDj7xJSm/o1Zh+1/gA+muBxrZuCU6ippRX46jaN0c464HGsu0ZhPEj37ktTmP9JtVf7YNr77qvV8lke03JuUsvy2bY9wp5Xd0Jsj+F+hA0hq+f/fU8g3/VPD9u6cct/l10tDaG41TTt/69vHbrycL2X5jojX84O6p5XtDKb9jF/D9L9CB9OqmGNt3RdGjrOr3p7Vi264or70eK8v7Bd7LL3tDk8u1A2oNmzfD+vXleb+gk+03JoXyW6ZvlFortu2U8jtqE2D/C3QgvdwSKwz/LBelNC+1VMgO/cKL5T85TinvfSuBbL8xkfI7RhW4/wU6kDZti2JZ5d2hLVOzaVuFjNZpbfVO2iwny/LetxLI9huT17dL+R2TCtz/Ah1I6YxR9uZOrSGVDvTHLp9UqvztxVpDMlne9wwq2X5jkpLyOzYVuP8F+i8bjbgnpMYai45y+OREE4udmCp/PF7e9wwq2X5jEpPyOzYVuP8FOpCWLU77c9OVj+0oli0eeBmKSampyRvuWU627b1vJZDtNyZLF0n5HZMK3P8CHUhnNafKNkInT2vF2c2psr5nYJ137omp8p93bnnfM6hk+42JlN8xqsD9L9CBdPqyFIvmpVGqPH8UpTSL56VZsbRCduizzvJm/S1XtV8pOPVUOPPM8rxf0Mn2G5NC+S3TSDulNIvnS/kdtQmw/wU6kJSCv/zAYco2clTDX37gyES8TMjoKAWf+XR5B95++lPlb9cOKn/7lVUFbT+l4C8+cLh8byjld+wCvv8F/vITmazmqhuX8vr2sU0/Ypqa5UtzPHH3NkI6O2Aq+8l2+QmtNbbjkOnuJnrpZZibNqHGMv2IZUFzM/zx+fIPRQ2yXA7Ov8CbNbnM22+yX37CiMUxahtZ9ZZ6WlrUmDZfvvz+7ufbCTmZSX/5Ca01juuSS6YIr1qFsXHjxC6/k+XyE6EQfPdrOwlZGmOUTXeGoQmH4b++n8SaMw09YwZuTQ06FCrzaXvjS2uNbTskUymOdXbR2dVNRkP3974H4TB6tJffMAzvD3HnHZUVRuB97rvuhHDY2w6jkd9+P/kJhCNFX1AmHyMWIzpjBjXLl1G79BSqZzTw05+qMW4+r/z+8MdZovNnYcydA/X13j5d3tUfV1prHMclncnSnUyRTKXJKUXqhz+smPIb+BpSftmaF6v44KcWk7NHdgkKy9KEQvDzn3dy8cUlRqzYNmYmg5nLeTfXxpwgNSStNa7rYtsOtmOTy9m4g/w5rWefpeZ974NsdkTftLRlQSiEeuRXcNllw37dpPPU03DttV6NaSQjn/ztx6OPltx+unBtm2Fc4yaANSTCEYjGULE4ZnUCIxwuueZPPQVvfSvkcnpEI+9M0wuje+9NsmpVif3WtlGpFEY2i5HNYLqOXwyDX0PSWuP6IeS6DrbjDlprNtesIf6ud424/Bb2v/Euv5P1irGf+sd5tG6OHfeKsfmBEKefrvjJT2DJkjQ9PT3H/6Cui2XnsOwcpuNg4vj76/gGkretXBzXxXGcQgiNpNUntm0bsb/4GOrV419xUvvro1esIHfrrRgrVmCZxtCXV56s8n/DDRvgxhu9WZNh6ADJb6fTT4e77vKu3DkMujic8mHS+9M+dyc9kAwTbYVQoShEo6hYHGUO70CjteaVVxxuvtngtdf8fWuIOSqV8ta9uSnHD36Ypnm4Fzx1XS+YcjkMN4fpuhi4XkCNYyBprf0vkF5TnOM6OM7IzqeKbN5M6KMfRb36KiiFGu7+d+cdE+aKsRMqkFwgm4OfPtDIj382lTd2Rf1nedf4UMoATLRWLFiQ5WMfS/K5z9UVLinv2DY9ySS5kV4TRGsM7WJoFxONgcYkv78aXl+Uv2MrY2SBlN/8hbZ37W0Lx3ULAeTmv42OgmEYRMJhopGwd8XcXM6bgv4/vwVbthRtPe+5ptYorXFPOQXnE5/A+chHyG9ABViWiVlJV97t37yWy8EPfwj/8R/exJdKed9CtfYe27b3+NRTvQ7kW27xt1//g9rw9RbRfkHVf3nvK0YeSL0f2LszTDBNMC3vZoVG9WXEdZzClyjwNt+tt5p8+1uKbdstFBrT8tdTgWN7V4pdOC/NLe8/zAevbyMSNQjV1mAlEqhBamBD0hrluhja8cox3j6uFCiU9yf2A0mNMJB6y69Co3s3r3a9Y5fOH99GWX6VIhSyCFkhDEOxd+curNtvp/6OOwjv3Ol9cbQsL5yG3P/G2WQNJK3B9f/wG16P8c///iQvrM8CcU5ZPJubbj6HFSvSLF+eQSmYNWsWiUSiz2fJdHfTk0yhzXIfWLW3g+f3V/8x/mPo/U7bu/OObkcdimEYhEMhIuEQpmmWPpBoDevXc9ff/C3ta9YQBxY1N3PlJz+JPvcc7BWn4wyyboahCA32vpNF/mBUSn7fXr/em6iytdWbjiUe9046PO9cb2jtYNun8OWkvNuvb3DR+7jPQz1gHcr9d3QyGRzbQVtmyf07eaSNrgOH2PB6jFdb42zeHiWdNohGXZYuSnNGU5LmpSlM5ZUfbwCSfx+NYFQlUFVxVNkPtF6bS+/WUL3ZU/hp73O17rN1y0YpRcgyCVkWhtHbKtHd08O+/Qf8X6+JbNxI/dat1OzaNbL9bzwMM5CC3cM1BKXgtGUplix8nBfWPwDAOadfz3vfvdjbe30HDhxgzpw5RKO9EzJGEgnC8TjZ9nbS3d24pomORNDDbH4YYq3QFH9ZHeTAUGaGUliWhWWaWCHv/rgHGaXgrLN4ZtkyfrhmDQAfW7mSK//iYyi8C00bjkuuRHu162oyro1pGJOvGW+osCju7/G3H2edNfLf4b+HdnVZg0EN+AZ/crjZLG4yiZ1K45oGKpFAmcaAJk3tunTv3U+6s7NQfk9b1vecor6BUEImi860o9rbIRxGxWIQjaAjkTJ02Pvlt89KD/qPslFKYRoGpmlgml4LRP99IZ3JcODAweIXYa9YQdW113g12UliwgZSKQqwMlnsWKSwzHVd9uzZw7x58wgXVfeVYRCZMoVwQwO5I204bUe85rJIGDccxgmFcE1r9CNbThClwDRMLMvEMi0sy/Sa4vo8pzxHI9MfzJGznZLfdB2/SXFSBNPxai35loByK/QZ5Q93fZuHgrZNteNANoNOJXF6krjJJK7jouvqUHV1A/bFvFwySc++AziZbPlWJpdD5XKoLv8UjpAFkQhuJIIbDuNaodEP7TuBDMPoDSDDOG75zeZy7N23f8CApamNjZiTKIxgkgUSgGHbGDkTN9T70VzXZfeOncydN5dwtO/U9cowCE+bip7SiNvZiXu0DdXTVRiZo00D17JwTRPXsHAME1cZuMpr69ZlPmAo8M+H8nZU0zQKO7BRYuc90QylCFsmjuud11RKPpgMQ2H53+6CdiAd1LCCaMD35hOouJ+o6LcO0qFe7u2s883tju31R9hZyGUhm0VnM2jbAccb3emGIuiGBqhKDLpfaschdfAQmWMdJ3wLKsfBSKewMqnCKDtME21ZuJb3BdM1TLRh4hqG1wR3AvZTpZQXkIbyz48yCvcj/XvZts3evfsKfXB5iaoqqqsTg7xq4pp0gaSAUDpDTilcq/fbg4Nm944dzGxoJDZ1yoAdQxkGZl0dZl0dOp1GdxxF93RhaI3hOihc0A64fUfZ6T43L6Bcv+GhEFb9OkSVf0DJn4yr/EER3tOKGi36rOL4HeCVUlimwjQUtuPgDDLAwnU1Wdfxa3FGyaaHYBjGAINhD8U+SYpDsVBR00Utwrrf51EMaDLuM8S8eASd490cZ8hRdriut38nEriJam/IN6X3TK01dkcHmUOHcewxnNA5RkprDMfG1C44uQGj7LQ/GEkbBlqZRV8ye+/9b4n5dyx8HyiUWfzTRBis/I6uDDiOw959+8n1O80gFosyY/q0gJatsZl0gQTenz+cSpOJx/oMXHAMgwNtR6g/coT49GmEGxpK/lFVNIqKzkS70yHZg051Q6b0NUQK+6qCwmnjIxhl1/tGwd+5vM5WC1NrnCGCSWuwHRfbcTGU8mp5Qag15QcpTKQgGokBgxpGMMpuqFMAULiRKE4kho7GBh/sgRdETkcHdls7TjZXHJmBpPrc694CnS/TxSPsBqmleovKPDDEcdi3/wCZbN8mzkg4zKwZM056S8nJMikDCbxdJZpKk45H+/QD2aZJm+vi7NlL5NBhItOmEaqv86r4/d/DMCBRjUpUe00ZmRSkk5DNcPKacILHUApjGMEE/ihJ/xuy4Xfe5muGJ17RQeR4v28iB9EJoJXCDUVxQxHcUGTIEAKvqU93dmG3t+NmsxVcOsYuk8mwb/+BATWjkGUxe9bMSddvVGzSBhKA0hBLZUjFouiikXeuYXA0GqE2m4M9e8jt30+4sQGzoQEjEin9XoYBsSqIVXkd/LkMZNNg505MZ/cEkA8mS/sn+znukAciV2tcxwGnaO6xPk2V5TCCEIJx6CMKJg1+34qJa4bQZmh42y+XRR/rwO3owB3hiZ5ioK7ubg4eOjxgEJFpmsyePQsr4FP/jNXk/nSAoTWxdJpUtG8oaaU4Fglj52xqbBv7yBGctjbM6irMhkZUonrQg6RSCsJR74Z3Ehy2Da7ttcO749dmPh68PiZvuGphKpTj1DS8cNLkO0TyTXqG3xE87IDq02Y/zNfk161Cv0iAf46fMtGGhWsaaMMc0fZTyR7o7EAnU37/UmUH+lhprWlrP8rRY8cG/Mw0TWbPmkk4CCe4nmCTPpAATFeTSKVJRsM4/aq73SEL21A02jYmoHt6cFNJlGWhampQ1TUQjQ95gFTKgFAY6B1WrvMdxfkThivgG7hSCtNvlvNmK/ZHYw2jGcz1ayr5L9kKekcpFWpRBkU9yiNbuUIIVcbfolh+0J7GwFXgjmZyV61R2TRGsgfV0wO2XZg9pLK2Zvk5jsuBQ4dIJgf2U0cjEWbOnEFokteM8irjU+LVlKrTGVLhMJlQ34+dNk0OGAYNtk1VYSSTg+7sgO5OCFkQT3i3SKxkf1N/yjD7nJ2sCx3JRR3Lk1h+ZB6m0WcOr+GEE/gHUFfjNQL6tSh/1J7Rb2j5oF8WKiyEiqehyu9i3own/oibkbaKao2RTWNkUhjpFDi2dzKvG/ShChNHTzLJocNHsEtM2FtTXc20qVMm7QCGUiomkMArj1XZHCHt0h3q20buKMXhUIik69CIS5/KsetCsgvSPWCY6GgcojEIRVHD/ObizZFlAn1raL2TaUKfTvVJFFhKKUzTG22Xn+E4Pz/fSD6l63rB1P+cjN6h8/lb8SCp4I9eHAntV3e8O3/uQ/qculRk5J9duQ7K9mbONnJpVGEqMAmhcrJtm8NtbXR3l57wedqUKdTW1ky6/fd4KiqQwCuiMdvBcjUdkfCAE1t7DJOUNmjApUaXKNJae6PtcmnvPCTT8q6VY/lTl5gjm4SycN5CiZcMnJus6JDQ/9+Bo/o9zNdm8Jr1/B/pQji5hccjlZ9JebC1KA4qb5kqGrmreof+jlPhL67ZoIvOLio0tWm/klfmUNAapR3vPDvHxrBzKO32nockyk5rTUdnF23t7SX3ddMwmDlzBvFYbBzWbvxVXCDlhV2XKZkMx0Jhcv0mWXWV4ggmXVozTUPpcXc+7Xpnstt278myphdMmCYY1rCa+EoZ6dxkpQ/K/UPsuL/1OItK/Xz0B3Kv9mQWhrL2TtPfG1JjmYBWk69VDP898icuq6LHvctHsQ5FJ6f21mT0Sa8EK61ReLPWK9dBadcPIL85OdBfcCa+TCbLocOHSWcyJX8ejUaZMW0a4fDkH7wwmIoNJABTQ2M2S9o06QxZuP2OOBkUux1NHZqGUP/GtiG4/hnvjtf5rpXhTeGfvwbLCZplufT79a+pDHhR38fj3F6t/BqLYfqXP8C/GJzuncZfn+CDufarKr2V0Il3oPbq3bpw702UU9x/OfE+00TlOA5Hjx3j6LGOkj83DIMpjQ3UVA8+srdSVHQggd+v5DjEtcsxyyI54KQzxTEHOh1NXcihLqyGH0zFXAdw/f55/7zwwtnfRUHg/3vS75jFzZGFu0Ga3Qqj94pf7j3Xu4YURUF18mse46XkpAJFPwN6N2mFbJMgcRyHYx2dHDvWMehgnupEgimNjVjW5D3ZdSQqPpDyTGCK45DBpc2wsPsFggu05zTHcjnqwi510VB5Zn3Pf1vtd5E0DUVHmBLTDuWfGbTgGqzZsKjZqhzyn9ss8fkLfTL5sCoKqvFqLhupwuj2oklUlfKvt5V/TvFH7/OBSo5wECdJIYg6Bg+iUCjEtClTiMcrs69oMBJI/cS0Zo626VAmR0tcncUF2rMOx7IOddEQdbEIZb/OX0HxYAZV8iBTamRVn5A6Xv9PcYEZtK9lsH6oYB71jjscvEjfAQW9zXT54QO66PGoP27RYIrigRUa3XeAxXHXuf96BHP7V6reIOoc8vSGhvo66oe4VEclk0AqwQAacEkog6NAtx54kHCB9nSOY5kcdbEIdfEo5jCvinhi6SH+OYwDWIXNXlAIL+8fJ/V3n4irBYuTz3EcjnV2HTeIqhMJGurr+lyXTfQlgTSEsIIZBmQVHHWhq8SMQK6G9mSGo8kMiWiY2qoY0XAo0JN333ff/fzjl78MwL59+wrL7/nFL1jz7LMA/MtXvsINN6wel/UTIui01qQzGTq6uunu6RmyCViCaPgkkIYhbChmWIoGFO05TZc9sBahga50lq50lrBlUlsVp7oqFsiZeW+4YTVbtm7h81/4Yp/lHR0ddHR08K9f/5qEkRAlOK5LV3eSjq5usrnckM+tTlT5QTTkiSOiiATSCIQNxYyoSYP2+pG6cqUnUc3aDoc7ujjS2U11PEZtdRXRQWYRHy//4x/+AWBAKP3r179W+JkQwpPOZuno6qGrJ3ncptbqRBUNdXWEI1IjGikJpFEImwYzqkwaXK8fqTtrl+yd0VrT2ZOksydJNBymtjpBoiqGEYi+poGhJGEkRC/XdelKpeno6SGTHbo2pIBEooqGulqpEY2BBNIYhE2DGdUxbKAzbdOZzpAb5Jow6WyWdFs7h9oVVfEY1VVx4vE4xjh3NhUHkISRqHSu1iTTGbrSaXrS2ePWhkKWRW11guqaaqwANs9PNBJIZWAZBg1VUeoTUZI5h46ktzOXorWmuydJd08Sw1BUxeNUV1URj8fG7ZwiCSJRybTWJDM5ujI5etLZYc1IXxWPUVtdTTwW9SdODvAopglEAqmMlFJURcJURSPYrqYjmaazJ4k9SK3JdTVd3T10dfdgGAZV8RiJqirisZicoyDECeRqTTJr05116MnlhjWXrGWa1FRXUZtIYIUsRjObuhiaBNIJYpkmjTUJGmoS9KSzdHT3kEyXnlQR/PZqP5yU8mpOVVVx4rGYTCsiRBnYWpPMufQ4Nj05d9inFcejEWqrE1QVWjEkiE4UCaQTTClFIh4jURXHdly6kym6epKDzvgL+Wa9Hrp7vGulRMJh4vEY8VicaDQitSchhsHVkHEh5WqSrkNmBOchx8Ihr9zGY1iW5U/jJUF0okkgnUSWaVJXk6Cuppqcbfvh1EMmU7q/KS+TzZLJZjl6rAOlFLFo1AuoeJxwaGTXXxJistJAFkhhkMIg7Y5scqVIyKI6GiERj3qXDFfe5WTEySOBNE5ClkV9bQ31tTXkbJueZIrunh5SQzTrgd8Bm0qRTKWgrR3TNAu1p3gs6n2bE6JCOEDWMMiYJhnDwBnhl7OYZZKIhqiKRiSEAkCOXgEQsizqamuoq63Bdhx6epL0JL3QOd6wU8dx6OrqpqurGwDLsohFo0SjUWLRKJFIWGpQYlLQQM5QOIaBbRjkDANnhM3XCohbBlUhi6qIhWVa3oU1pRk8ECSQAsYyTWpraqitqUGjSaczJFMpepIpMkP0O+XZtk1Xdzdd3V5AKaWIRiKFgIpGI1KLEhOCVuCYJq5p4Jh++Iziy1VUQdxUxC2DqGWgTLPoYpkiSOTIFGBKKWKxKLFYlMaGBhzH8Zrr/NqTbdvHfQ+tNal0mlQ6zVF/WciyiPq1qGg0QiQcloESYlxpQBsG2jTQfgjpUe6TltbElCZuQNwwsEy/BjTKQBMnjwTSBGKaJtWJBNWJBFprcrlcIaBSqdSwTugDyNk2uaJaFHgXDIuEw4TDYSKRMJFwmJAMmBBlpgFXKVzTwDWM3hAawyg2pTUR1yWGpgpNSIGhvPCR3XdikUCaoJRShP0AqautRWtNNpslnc6QzmRIpdPkjjMbcbFcLuc93x9qXvw78gEVCUeIRMKBnMFcBI8L5Pz+HscwcAyFW4Zaium6hFyXsOsFUQiNqRSG4d0kgyYuCaRJQilFJBIhEolQ5xd4x3FIpdOk02lS6QzpdHpEF4XTWpPJZAb0XZmmSTgcIhQKEQ559/mbKU1/FcUFskqRM7ybrbybYxi45aieaI3puFiuS8h1CLsaE+8imkop/37sv0YEgwTSJGaaJomqKhJVVQCFWpQXUl5AHe+aLqU4jkMq5ZBKpQf+TsPoE1C9gWVhmqY0AU4wWmscrcm5mqwLOVeRA3LKJGeq8oRO7y9DuRrDdTAcF8txMbQfQMoLofGejFicWBJIFaS4FkWtt8x1XbLZHJlshkwmSzabJZPN4Awy/97xOK6Lk8mUnIlCKUUoFMKyTCzT8u4tb+itWXgsoXWyaK2xHRfHdrCd/M3FcV1sR2P7QdRbp1a992P9E7ka5boYrotyXJTr3Yyi32IgfUCVRgKpwhmGQTQaIRrtew0X27bJZLNkM1l/pogM2WxuRE1+/eVraNmhJ6bANM1CaJnF4WVaGKaBaRgYholpGiilJMB8WmuvRuM6uI7be+842LaD7dhe4Pjh4wxnRtGxrxSGqzH88DEcF1wH9MhmURCVQQJJlGRZFpZlURWPF5blR/ZlstnCIIhsziaXyw1rCPpwOY6D4zhkOE5y+UzTDyjD8APLHBBchmFgKANleAFm+EGm/GW9/z654ZYPEde/165bYpnGcV1c19suruviOC5ufpnr+gE0ulptGT4EpgZTu5h+AJnaxXA0aBetvb4m7T218FiI/iSQxLAVj+zrz9UaO5cj6wdVzg+qbC6Hncud0AOQ43gH6JH3hpWm/BFbSvXWwPJBVYgr5f2vf3zp/P918b97g8e7ubiuHlNt82RTgIUmBITQWH7oWK4XQNrVhaBxtfbvJXzEyEggibIwhggrrTW2na9J+U1HtoNt230eB4XWGsfReIfTymAZyrsphanAUgpLaS+EtMbSXshqV4Oj0bi9wYOEjigPCSRxwuUHM4RCoUGfo7XGdV0vpAaElnfvOn7z1Hg1TU0w3nk5XtOlZZpYpoGV/3c+gAwwNCg0uK7fpuZ41RvtestcF1wmVI1OTEwSSCIQlFKYpolpmkQiQz83H169fSfF/SpOv/ven2u3qF8m4AfXfDNhvm/LKPSP9e8vM/zQ6Q0fr7/MH6Gm8f6n/YDR/R+7fvgEe3uIyiCBJCac4vBi8ErXkPKB5JYaSOAW9fWUCjBd1FdUeg3zXUx91rk3YPJ9U/Tpo1J+kOSfX2Kt+9z1+f19AkX3BpEQE4gEkqhI+QO+qcbv0gNBr6UJcbLJPC9CCCECQQJJCCFEIEggCSGECAQJJCGEEIEggSSEECIQJJCEEEIEwoQc9p1Kp7y5wPAux52Xs216kkkUYBqKeDQ+6HsIIYQIlglZQ3ruTy9xxpVX0HTpKu59+OHC8nsffpjmS1dx5pVX8NyfXhrHNRRCCDFSEzKQrrj4Yn74798kXGJutHAoxA/+/ZtccfHF47BmQgghRmtCBhJ4ofSDfqEUDoX4voSREEJMSBM2kMALpe/7oSRhJIQQE9uEHNRQLB9K+cdCCCEmpgkfSCBBJIQQk8GEbrITQggxeUggCSGECAQJJCGEEIEggSSEECIQJJCEEEIEggSSEEKIQJBAEkIIEQgSSEIIIQJBAkkIIUQgSCAJIYQIBKW11uO9EkIIIYTUkIQQQgSCBJIQQohAkEASQggRCBJIQgghAkECSQghRCBIIAkhhAgECSQhhBCBIIEkhBAiECSQhBBCBML/D3x8wfbotM0JAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 800x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 5\n",
    "m1=0\n",
    "m2=3\n",
    "bw = w0_approx/4.5e-6\n",
    "targets = (0,3)\n",
    "\n",
    "intensities = gen_intensity_vector_fixedxt(N, targets, experimental_params['xtalk_neighbor']**2, experimental_params['xtalk_nextneighbor']**2)\n",
    "lowfid = estimateMSFidelity_errgate_allnearpairs(N, m1, targets, intensities=intensities, mode_type = \"radial\",νratio=9)\n",
    "bestfid = estimateMSFidelity_errgate_allnearpairs(N, m2, targets, intensities=intensities, mode_type = \"radial\",νratio=9)\n",
    "\n",
    "positions = np.arange(5)-2\n",
    "neighbors = [a for a in range(N) if a in (targets[0]-1, targets[0]+1, targets[1]-1, targets[1]+1)] \n",
    "\n",
    "fig = plt.figure(figsize=(8,8),dpi=100)\n",
    "gs = gS.GridSpec(2, 1, height_ratios=[3, 3])\n",
    "ax1 = plt.subplot(gs[0, 0])\n",
    "ax2 = plt.subplot(gs[1, 0])\n",
    "\n",
    "axes = [ax1, ax2]\n",
    "\n",
    "\n",
    "for ax in axes:\n",
    "    ax.get_xaxis().set_visible(False)\n",
    "    ax.get_yaxis().set_visible(False)\n",
    "    for side in ['top','bottom','left','right']:\n",
    "       ax.spines[side].set_visible(False)\n",
    "    ax.set_xlim(-2.5,2.5)\n",
    "    ax.set_aspect('equal')\n",
    "\n",
    "# Create beam profile\n",
    "beamcenters = [positions[t] for t in targets]\n",
    "poss = np.linspace(-4, 4, 1000)\n",
    "position_intensities = ict.calcCrosstalkIntensitiesAtPositions(beamcenters, bw, poss)\n",
    "gradient = position_intensities.reshape(1, -1)\n",
    "\n",
    "for m, ax in zip((m1,m2),(axes[0], axes[1])):\n",
    "    if m==m1:\n",
    "        ax.set_ylim(-1,1)\n",
    "        ax.imshow(gradient, extent=[-4, 4, -1.5, 1.5], cmap='Reds',alpha=0.2)\n",
    "    else:\n",
    "        ax.set_ylim(-1,1)\n",
    "        ax.imshow(gradient, extent=[-4, 4, -1.5, 1.5], cmap='Reds',alpha=0.2)\n",
    "    arcdirection = -1 if m==m1 else 1\n",
    "    # Draw Gates\n",
    "    mvec = ict.calcRadialModes(N)[m][1]\n",
    "    cmap = cm.get_cmap('Greys')\n",
    "    i,j = targets\n",
    "    iondistance = abs(positions[i]-positions[j])\n",
    "    archeight = iondistance/4\n",
    "    gatearc = patches.Arc(((positions[i]+positions[j])/2,0), abs(positions[i]-positions[j]),\n",
    "                          archeight*arcdirection, theta1=0, theta2=180, lw=3, color=cmap(2.0))\n",
    "    ax.add_patch(gatearc)\n",
    "    for t in targets:\n",
    "        for n in neighbors:\n",
    "            a, b = t, n\n",
    "            relspeed = abs(np.sqrt(intensities[a]*intensities[b])*mvec[a]*mvec[b])\n",
    "            relspeed /= abs(np.sqrt(intensities[i]*intensities[j])*mvec[i]*mvec[j])\n",
    "            #print(a,b,relspeed)\n",
    "            iondistance = abs(positions[a]-positions[b])\n",
    "            archeight = iondistance/3\n",
    "            gatearc = patches.Arc(((positions[a]+positions[b])/2,0), abs(positions[a]-positions[b]),\n",
    "                                  archeight*arcdirection, theta1=180, theta2=360,\n",
    "                                  lw=3, color=cmap(relspeed*5))\n",
    "            ax.add_patch(gatearc)\n",
    "\n",
    "    # Draw Ions\n",
    "    for i,pos in enumerate(positions):\n",
    "        color = 'b' if i in targets else 'r'\n",
    "\n",
    "        ax.plot(pos,0,'.'+color,markersize=30)\n",
    "    \n",
    "    # Draw Mode Coupling Arrows\n",
    "    print(mvec)\n",
    "    for i,pos in enumerate(positions):\n",
    "        \n",
    "        if abs(mvec[i])>1e-8:\n",
    "            print(mvec[i])\n",
    "            ax.arrow(pos,0,0,mvec[i]*1.25,width=0.04, length_includes_head=False, head_length=0.06,\n",
    "                lw=0, color='black')\n",
    "             \n",
    "\n",
    "\n",
    "fig.subplots_adjust(wspace=0, hspace=0, top=0.4, bottom=0)\n",
    "#plt.savefig('crosstalk.pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "id": "37d39fac",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2023-08-14T23:45:48.982075Z",
     "start_time": "2023-08-14T23:45:48.887906Z"
    }
   },
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 800x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig,ax = plt.subplots(1,1,figsize=(8,2),dpi=100)\n",
    "pos = np.linspace(-3, 3, 1000)\n",
    "position_intensities = ict.calcCrosstalkIntensitiesAtPositions(beamcenters, bw, pos)\n",
    "ax.imshow(gradient, extent=[-2, 2, -0.5, 0.5], cmap='Reds')#,alpha=0.5)\n",
    "ax.set_xlim(-2,2)\n",
    "ax.get_xaxis().set_visible(False)\n",
    "ax.get_yaxis().set_visible(False)\n",
    "#plt.savefig('intensities.pdf')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "b32997da",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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