01_reinvent_qft.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Re-Inventing QFT"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Prerequisites\n",
    "\n",
    "### Install and import Quantastica QPS API"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "import sys\n",
    "\n",
    "try:\n",
    "  from quantastica.qps_api import QPS\n",
    "except:\n",
    "  !{sys.executable} -m pip install quantastica-qps-api\n",
    "  from quantastica.qps_api import QPS"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Fore details about quantastica-qps-api package, see: https://pypi.org/project/quantastica-qps-api/\n",
    "\n",
    "\n",
    "### Register your QPS API key\n",
    "\n",
    "Uncomment following line, add your API key and run:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# QPS.save_account(\"YOUR_API_TOKEN\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**WARNING:** Run this only once on your machine and then remove this cell. Don't keep your API key in the notebook for security reasons.\n",
    "\n",
    "## Utility/helper functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import cmath\n",
    "from matplotlib import pyplot as plt\n",
    "from IPython.display import SVG\n",
    "\n",
    "def plot_vector_pair(initial_vector, final_vector, title=\"\"):\n",
    "    fig = plt.figure(figsize=(16, 8))\n",
    "\n",
    "    fig.suptitle(title)\n",
    "    ax1 = fig.add_subplot(1, 2, 1)\n",
    "    ax1.grid(True)\n",
    "    ax1.bar([str(i) for i in range(len(initial_vector))], np.abs(initial_vector))\n",
    "\n",
    "    ax2 = fig.add_subplot(1, 2, 2)\n",
    "    ax2.grid(True)\n",
    "    ax2.plot([str(i) for i in range(len(final_vector))], np.round(np.sin(np.angle(final_vector)), 5))\n",
    "    \n",
    "    fig.tight_layout()\n",
    "    plt.show()\n",
    "\n",
    "\n",
    "def display_circuit(qasm):\n",
    "    circuit_svg = QPS.converter.convert(qasm, \"qasm\", \"svg-inline\")\n",
    "        \n",
    "    display(SVG(circuit_svg))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step 1: classically generate input and output data encoded into state vectors:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "*** 3-Qubit ***\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 1600x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 1600x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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      "text/plain": [
       "<Figure size 1600x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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EHACaNK1kmzo2WaE23koDAF/AT2MAAAAAgCQpK6PxEiuvbSpWndNlOA0AmPfF0Wp98sUxWS3SFDYNBwCfQbEBAAAAAJAkffPyOPWKiVBlrVPvbztiOg4AGNe0gu2aQY0/HwEAvoFiAwAAAAAgSbJZLZqW1rSJOJejAhDc6pwuvbapadPw3obTAAD+FcUGAAAAAKDZHWOSFWK1aOPBE9p5pMp0HAAw5v1tR1RZ61SvmAh94/IepuMAAP4FxQYAAAAAoFlcdLgmXBEvSVrGqg0AQaxp5dr09BTZrBbDaQAA/4piAwAAAADQQtMlV/66+bBqHA2G0wBAx9t5pEobD55QiNWiyWOSTMcBAPwbig0AAAAAQAvj+nVX39hOqnY06O1PS0zHAYAOl1NwUJKUeUWC4qLCDacBAPw7ig0AAAAAQAtWq0XT01IkSUvzD8rj8RhOBAAdp9rRoL9uOixJykpPMZwGAHAuFBsAAAAAgLPclpqksBCrdpRUaWvxSdNxAKDDvL2lRDX1LvWL7aRx/bubjgMAOAeKDQAAAADAWbp1CtMNw3pK+vKSLAAQ6DweT/PPvOnpKbJY2DQcAHwRxQYAAAAAo44fP66srCxFR0crJiZG9957r6qrq7/y+P/8z//UwIEDFRERoZSUFP3gBz/QyZMtVxVYLJazPlasWOHtpxNQmi7B8vanJTp52mk4DQB436fFJ7WjpEphIVbdNppNwwHAV1FsAAAAADAqKytLO3bsUG5urt599119+OGHuv/++897fElJiUpKSvSb3/xG27dv15IlS7Rq1Srde++9Zx375z//WUeOHGn+mDRpkhefSeBJ7d1VA+OjVOd066+bik3HAQCvy8lvXK1x47Ce6topzHAaAMD5hJgOAAAAACB47dy5U6tWrdL69es1ZswYSdLzzz+vb3/72/rNb36jxMTEs+4zdOhQvf76682f9+/fXz//+c915513qqGhQSEhX77MiYmJUUJCgvefSICyWCzKykjR3Ld2KKegSHdd2YfLsgAIWCdrnXpna4kkKSuDTcMBwJexYgMAAACAMevWrVNMTExzqSFJ48ePl9VqVUFBQasf5+TJk4qOjm5RakjS97//fcXGxiotLU2LFy+Wx+Npt+zBYtKoXooItWlPebUK9x83HQcAvOaNzcWqc7o1KCFKo1O6mo4DAPgKF7ViY8GCBXr66adVWlqqESNG6Pnnn1daWtoF77dixQpNmzZNN998s958882LOTUAAACAAFJaWqq4uLgWt4WEhKhbt24qLS1t1WNUVFToqaeeOuvyVU8++aSuueYaRUZGas2aNfre976n6upq/eAHPzjn4zgcDjkcjubPq6qqJElOp1NOp7n9JZrObSpDhE36zogErdxwWH9Zd0Cjk6ON5DDB9OyDHfM3Jxhn7/F4tPTMZaimjumlhoYGY1mCcf6+hPmbw+zN8oX5t+XcbS42Vq5cqezsbC1cuFDp6el67rnnlJmZqd27d5/1guRfHThwQP/93/+tr3/96209JQAAAAA/85Of/ES/+tWvvvKYnTt3XvJ5qqqqdMMNN2jIkCF6/PHHW3ztsccea/73UaNGqaamRk8//fR5i4358+friSeeOOv2NWvWKDIy8pKzXqrc3Fxj5052SFKI/rb9iDLsxYoKNRbFCJOzB/M3KZhmv7dK+uJoiMKsHkWUbdf77283HSmo5u+LmL85zN4sk/Ovra1t9bFtLjaeeeYZzZo1SzNnzpQkLVy4UO+9954WL16sn/zkJ+e8j8vlUlZWlp544gl99NFHqqysbOtpAQAAAPiR//qv/9Ldd9/9lcf069dPCQkJKi8vb3F7Q0ODjh8/fsG9MU6dOqWJEycqKipKf/3rXxUa+tXvtqenp+upp56Sw+GQ3W4/6+tz5sxRdnZ28+dVVVVKTk7WhAkTFB1tbpWC0+lUbm6urrvuugs+R29aczxfWw9X6WS3wZry9b7GcnQkX5l9sGL+5gTj7B9+ZaukUt0yOkm3fucKo1mCcf6+hPmbw+zN8oX5N62Ybo02FRv19fXauHGj5syZ03yb1WrV+PHjtW7duvPe78knn1RcXJzuvfdeffTRR205JQAAAAA/1KNHD/Xo0eOCx40bN06VlZXauHGjUlNTJUkffPCB3G630tPTz3u/qqoqZWZmym636+2331Z4ePgFz7VlyxZ17dr1nKWGJNnt9nN+LTQ01CdeXJvOcWdGH/3o9a1aueGwHrz6MlmtwbOJuOnZBzvmb06wzL6i2qHVn5VJku7M6OszzzlY5u+rmL85zN4sk/Nvy3nbVGxUVFTI5XIpPj6+xe3x8fHatWvXOe/z8ccf68UXX9SWLVtafR5fvbatL/CFa50FIubqHczVO5hr+2Om3sFcvSPQ5mq3+cZGznarp8U/TTL9Z9vR5x88eLAmTpyoWbNmaeHChXI6nZo9e7amTp2qxMRESdLhw4d17bXX6uWXX1ZaWpqqqqo0YcIE1dbWaunSpaqqqmp+zdCjRw/ZbDa98847KisrU0ZGhsLDw5Wbm6tf/OIX+u///u8OfX6B5MYRPfXUe5+p6HitPt5boW9cfuHiCgD8wWsbi+V0eTQiqYuGJXUxHQcA0AoXtXl4a506dUrf/e53tWjRIsXGxrb6fr5+bVtfwLXmvIO5egdz9Q7m2v6YqXcwV+8IlLn+Os10gpaeGuM2HUHvv/++0fO35bq27SUnJ0ezZ8/WtddeK6vVqttuu02///3vm7/udDq1e/fu5mybNm1SQUGBJGnAgAEtHmv//v3q06ePQkNDtWDBAj388MPyeDwaMGBA82V1cXEiw0J02+gkLfnkgHIKDlJsAAgIbrdHywqKJElZGb0NpwEAtFabio3Y2FjZbDaVlZW1uL2srOyc17/94osvdODAAd10003Nt7ndjS8WQ0JCtHv3bvXv3/+s+/nqtW19gS9c6ywQMVfvYK7ewVzbHzP1DubqHYE216GPrzYdQVLjSo2nxrj12AarHG6zl9fZ/nim0fO35bq27aVbt25atmzZeb/ep08feTxfrqa5+uqrW3x+LhMnTtTEiRPbLSMaTU9P0ZJPDujvO8tVerJOCV0ufAkwAPBlH++tUNHxWkWFh+im4Ymm4wAAWqlNxUZYWJhSU1OVl5enSZMmSWosKvLy8jR79uyzjh80aJC2bdvW4rZHH31Up06d0u9+9zslJyef8zy+fm1bX8AsvIO5egdz9Q7m2v6YqXcwV+8IlLk6XL51jX6H22I8k+k/V9Pnh2+7PD5KaX26qfDAca1cf0g/HH+Z6UgAcElyCg5Kkm4bnaSIMJvhNACA1mrzpaiys7N11113acyYMUpLS9Nzzz2nmpoazZw5U5I0Y8YM9erVS/Pnz1d4eLiGDh3a4v4xMTGSdNbtAAAAAADfl5WRosIDx7VifZG+/63+CrFZTUcCgItSerJOf99ZLknKSk8xnAYA0BZtLjamTJmio0ePau7cuSotLdXIkSO1atWq5g3Fi4qKZLXyP7YAAAAAEIgmDk1Qt05hOnKyTv/YfVTXDYk3HQkALsrK9YfkcnuU1rebLouPMh0HANAGF7V5+OzZs8956SlJWrt27Vfed8mSJRdzSgAAAACAD7CH2DQ5NUn/++E+5RQcpNgA4JcaXG6tWH9m03BWawCA32FpBQAAAACgTaalNb4J+H+fH9Wh47WG0wBA232wq1xHTtapW6cwTRyaYDoOAKCNKDYAAAAAAG3SJ7aTvn5ZrDweaXlhkek4ANBmOQWNP7smj0mSPYRNwwHA31BsAAAAAADarOnSLa9sOKT6BrfhNADQekXHavXhnqOSpOlpXIYKAPwRxQYAAAAAoM2uHRyvuCi7KqrrteazUtNxAKDVlq8vkscjff2yWPXu3sl0HADARaDYAAAAAAC0WajNqqljkyVJOflcjgqAf6hvcOuV9YckSVnpvQ2nAQBcLIoNAAAAAMBFmZKWIqtFWrfvmPaWV5uOAwAXtHpHqY7V1Cs+2q5rB8eZjgMAuEgUGwAAAACAi9IrJkLXDGp8Y5BNxAH4g5yCg5KkKWNTFGrjbTEA8Ff8BAcAAAAAXLSmS7m8trFYdU6X4TQAcH57y6uVv++4rBY1X0oPAOCfKDYAAAAAABftG5f3UK+YCJ087dS7W4+YjgMA57WsoHFl2TWD4pUYE2E4DQDgUlBsAAAAAAAums1q0fT0FElfXuIFAHxNndOl1zae2TQ8I8VwGgDApaLYAAAAAABckjvGJCvEatHmokrtKDlpOg4AnOXdrUdUVdegpK4R+sZlPUzHAQBcIooNAAAAAMAl6RFlV+bQBElfXuoFAHxJ04qyaWkpslkthtMAAC4VxQYAAAAA4JJlnbkc1ZubD6va0WA4DQB8aUfJSW0uqlSI1aI7xrBpOAAEAooNAAAAAMAlG9evu/rFdlJNvUtvbTlsOg4ANGtaSZY5NEE9ouyG0wAA2gPFBgAAAADgklksX24ivjS/SB6Px3AiAJCqHQ16c3Nj2dq0sgwA4P8oNgAAAAAA7eL21CSFhVi180iVthyqNB0HAPTWlsOqqXepX49OGtevu+k4AIB2QrEBAAAAAGgXMZFhunF4T0lSDpuIAzDM4/FoaX7jz6Ks9N6yWNg0HAACBcUGAAAAAKDdZKX3liS982mJTtY6DacBEMy2HKrUziNVsodYddvoXqbjAADaEcUGAAAAAKDdjE6J0aCEKDka3Hp9U7HpOACCWNPKsRuHJyomMsxwGgBAe6LYAAAAAAC0G4vFoqyMxlUbOQUH2UQcgBEna51659MSSVJWBpuGA0CgodgAAAAAALSrSSMTFRlm0xdHa1Sw/7jpOACC0OubiuVocGtwz2iNSo4xHQcA0M4oNgAAAAAA7SoqPFQ3j2y8nj2biAPoaB6PRzkFByVJWekpbBoOAAGIYgMAAAAA0O6y0hsv/bJq+xFVVDsMpwEQTPL3HdcXR2vUKcymSaPYNBwAAhHFBgAAAACg3Q3t1UUjkmPkdHn06gY2EQfQcZpWa9w8qpc620MMpwEAeAPFBgAAAADAK5pWbSwrPCi3m03EAXjf0VMOrd5RKkmansam4QAQqCg2AAAAAABecdPwREWFh+jQ8dP6aG+F6TgAgsCrGw/J6fJoZHKMhvbqYjoOAMBLKDYAAAAAAF4REWbTbaOTJEk5+QcNpwEQ6Nxuj5YVFEn6csUYACAwUWwAAAAAALym6c3Fv+8s05GTpw2nARDIPtxzVMUnTis6PEQ3Dk80HQcA4EUUGwAAAAAAr7ksPkppfbvJ7ZFWFB4yHQdAAMs5s1rjttQkRYTZDKcBAHgTxQYAAAAAwKuaVm2sWF+kBpfbcBoAgejIydPK21kmictQAUAwoNgAAAAAAHjVxKEJ6t4pTGVVDuXtKjcdB0AAWlF4SG6PlN63mwbERZmOAwDwMooNAAAAAIBX2UNsmjwmWdKXl4oBgPbS4HJrxfozm4Zn9DacBgDQESg2AAAAAABeNz2t8dIwH35+VEXHag2nARBI8naVq6zKoe6dwpR5RbzpOACADkCxAQAAAADwupTukfrG5T0kScsKWbUBoP00rQSbPCZZ9hA2DQeAYECxAQAAAADoEE0b+r664ZAcDS7DaQAEgqJjtfrw86OyWL5cGQYACHwUGwAAAACADnHtoDjFR9t1rKZeq3eUmY4DIAA0rQD7xmU9lNI90nAaAEBHodgAAAAAAHSIEJtVU8c2/kZ1Tv5Bw2kA+DtHg0uvbjgk6csVYQCA4ECxAQAAAADoMFPTkmW1SAX7j2tv+SnTcQD4sdU7ynSspl4J0eG6ZlCc6TgAgA5EsQEAAAAA6DA9u0To2sHxkr7c8BcALkbTyq+packKsfEWFwAEE37qAwAAAAA6VNMlY17fWKzT9WwiDqDt9pafUsH+47JZLc2XuAMABA+KDQAAAABAh/rGZT2U1DVCVXUNendriek4APxQ04qvawfFKaFLuOE0AICORrEBAAAAAOhQVqtF08+s2uByVADa6nS9S69vLJYkZWX0NpwGAGACxQYAAAAAoMNNTk1WqM2iLYcqtf3wSdNxAPiRd7aWqKquQcndIvT1AbGm4wAADKDYAAAAAAB0uB5RdmVekSBJWlbIqg0Arde00mt6Wm9ZrRbDaQAAJlBsAAAAAACMyEpvvITMW5sPq9rRYDgNAH+w/fBJfXqoUqE2iyaPSTIdBwBgCMUGAAAAAMCIjH7d1K9HJ9XUu/Tm5sOm4wDwA02rNSYO7anYznbDaQAAplBsAAAAAACMsFgszas2luYflMfjMZwIgC87VefUW1saS9Cs9BTDaQAAJlFsAAAAAACMuW10L9lDrNpVekqbiipNxwHgw97cUqLaepf69+ik9L7dTMcBABhEsQEAAAAAMCYmMkw3Dk+UJOUUHDScBoCv8ng8yslv/BmRld5bFgubhgNAMKPYAAAAAAAYlZXReEmZd7ceUWVtveE0AHzRpqJK7So9JXuIVbeNZtNwAAh2FBsAAAAAAKNGJcdocM9o1Te49drGYtNxAPigphVdN41IVJfIUMNpAACmUWwAAAAAAIxq3ES8cdXGsoIiNhEH0EJlbb3e3XpEEpuGAwAaUWwAAAAAAIybNKqXOoXZtK+iRuv2HTMdB4APeW1jseob3BrSM1ojk2NMxwEA+ACKDQAAAACAcZ3tIZo0qpckKaegyHAaAL7C4/Fo2ZmfCVkZKWwaDgCQRLEBAAAAAPARWem9JUmrt5fq6CmH4TQAfMG6fce0r6JGncJsunlkL9NxAAA+gmIDAAAAAOAThiRGa1RKjBrcHr2y4ZDpOAB8QNMKrltG91Jne4jhNAAAX0GxAQAAAADwGU2rNpYXFsnlZhNxIJgdPeXQ6u2lkqTpab0NpwEA+BKKDQAAAACAz7hxeE9Fh4eo+MRpfbjnqOk4AAx6ZcMhNbg9Gp0SoyGJ0abjAAB8CMUGAAAAAMBnhIfadHtqsiQpJ59NxIFg5XJ7tLzwzKbh6azWAAC0RLEBAAAAAPAp09NTJEkf7CpTSeVpw2kAmPDhnqMqPnFaXSJCdcPwnqbjAAB8DMUGAAAAAMCnDIjrrIx+3eT2SCvWs4k4EIyaVmzdnpqk8FCb4TQAAF9DsQEAAAAA8DlNl55ZUVgkp8ttOA2AjlRSeVof7CqT9OUKLgAA/hXFBgAAAADA52RekaDuncJUfsqhvJ3lpuMA6EArCovk9kjj+nVX/x6dTccBAPggig0AAAAAgM8JC7HqjrFnNhEvOGg4DYCO4nS5my9Bl5XBag0AwLlRbAAAAAAAfNK0sSmyWKSP9lTo4LEa03EAdIC8nWUqP+VQbOcwTRiSYDoOAMBHUWwAAAAAAHxSSvdIfeOyHpKkZYVFhtMA6Ag5BY1/1+8Yk6ywEN62AgCcG/+FAAAAAAD4rKwzGwe/uqFYjgaX4TQAvOlARY0+2lMhi0WalsZlqAAA50exAQAAAADwWdcMilNCdLiO19Rr1fZS03EAeNHyMyuzvnl5DyV3izScBgDgyyg2AAAAABh1/PhxZWVlKTo6WjExMbr33ntVXV39lfe5+uqrZbFYWnw88MADLY4pKirSDTfcoMjISMXFxemRRx5RQ0ODN58KvCDEZtXUtDObiOdzOSogUDkaXHplw5lNw9N7G04DAPB1FBsAAAAAjMrKytKOHTuUm5urd999Vx9++KHuv//+C95v1qxZOnLkSPPHr3/96+avuVwu3XDDDaqvr9cnn3yil156SUuWLNHcuXO9+VTgJVPHpshmtajwwHF9XnbKdBwAXrBqe6lO1DrVs0u4vjWwh+k4AAAfR7EBAAAAwJidO3dq1apVeuGFF5Senq6rrrpKzz//vFasWKGSkpKvvG9kZKQSEhKaP6Kjo5u/tmbNGn322WdaunSpRo4cqeuvv15PPfWUFixYoPr6em8/LbSzhC7hunZQnCRpWQGrNoBA1LQia+rYFIXYeLsKAPDV+C8FAAAAAGPWrVunmJgYjRkzpvm28ePHy2q1qqCg4Cvvm5OTo9jYWA0dOlRz5sxRbW1ti8cdNmyY4uPjm2/LzMxUVVWVduzY0f5PBF6XldF4aZrXNxWrtp5LigGB5POyUyo8cFw2q0VTxiabjgMA8AMhpgMAAAAACF6lpaWKi4trcVtISIi6deum0tLzbxQ9ffp09e7dW4mJidq6dat+/OMfa/fu3XrjjTeaH/dfSw1JzZ+f73EdDoccDkfz51VVVZIkp9Mpp9PZ9ifXTprObTKDL8jo3UXJXSN06MRpvbmpWJNTe3n9nMzeLOZvTkfP/i/rDkiSrhnYQ/+/vTuPq7LO2zh+nXPYREREWURQ3HJJRQVBy5rKJa2nsmkTMdfomdJpypoZnaexrEnbx5qcSnNpEbWa0anGVNSyqRQUxTR3U1EUcGdTOHDO84fJjOMGCvw453zer5ev5+HmPudcfD0O/Li6719jf5vH/53z3jeL+ZvD7M2qC/OvymtTbAAAAACoduPHj9dLL710yXO2bt16xc//n3twdO7cWU2bNlWfPn20e/dutW7d+oqec8qUKZo0adJ5x5ctWyZ/f/8rzlpdUlNTTUcwrlsDi/Yft+md1M2qn7ux1l6X2ZvF/M2pjdmXlEufZtgkWdRGh7R48aVvQ+hJeO+bxfzNYfZmmZz/f16BfTkUGwAAAACq3ZNPPqkRI0Zc8pxWrVopPDxceXl55xwvKyvTsWPHFB4eXunXS0hIkCTt2rVLrVu3Vnh4uNLT0885Jzc3V5Iu+rwTJkzQuHHjKj7Oz89XVFSU+vfvf87+HbXNbrcrNTVV/fr1k7e3t7EcdUFCUam+fGWVsoqk5jG91alZzf69MHuzmL85tTn7TzKydSr9R0U1qqfHB/eW1Wqp0ddzBbz3zWL+5jB7s+rC/M9eMV0ZFBsAAAAAql1ISIhCQkIue16vXr104sQJZWRkKDY2VpK0cuVKORyOirKiMjIzMyVJTZs2rXjeF154QXl5eRW3ukpNTVVgYKA6dux4wefw9fWVr6/vece9vb3rxOK6ruQwKTzIWwM7NdVnGw/q4/XZ6hbduFZel9mbxfzNqY3ZL1h3QNKZfXR8fX1q9LVcDe99s5i/OczeLJPzr8rrsnk4AAAAAGM6dOigAQMGKDk5Wenp6fruu+80duxYDR48WBEREZKk7OxstW/fvuIKjN27d+v5559XRkaG9u7dq88++0zDhg3TjTfeqC5dukiS+vfvr44dO+rBBx/Uxo0btXTpUj399NMaM2bMBcsLuI6khOaSpH9kHlT+ae7BDbiyTQdOauOBk/KxWXVfbKTpOAAAF0KxAQAAAMCouXPnqn379urTp49uu+029e7dW9OnT6/4vN1u1/bt2yvuuevj46Ply5erf//+at++vZ588kndc889+vzzzyseY7PZ9MUXX8hms6lXr14aOnSohg0bpueee67Wvz5Ur/iWwWoTGqDi0nL9Y0O26TgArkJK+j5J0sDO4WocQOkMAKg8bkUFAAAAwKjg4GClpKRc9PPR0dFyOp0VH0dFRWnVqlWXfd4WLVpo8eLF1ZIRdYfFYlFSQnNN+nyL5qZlaWjPFrJYuCc/4GryT9v1j8wzG4UnJbQwnAYA4Gq4YgMAAAAA4FJ+2S1Sft5Wbcsp0Pqs46bjALgC/9iQreLScrUNDVCP6Eam4wAAXAzFBgAAAADApTT099YdXc7swTJ3TZbhNACqyul0am7amX+7SQnNueoKAFBlFBsAAAAAAJeT1PPMrWu+2HRIx4tKDacBUBXrs45rW06B/Lyturs7m4YDAKqOYgMAAAAA4HJiIhvq2ohAlZY59Lf1B0zHAVAFH/18pdWdMRFqWM/bcBoAgCui2AAAAAAAuJwzm4ifuWpjblrWORvMA6i7jhWV6p+bDkli03AAwJWj2AAAAAAAuKQ7u0YowNdLe44UafXuo6bjAKiEv2UcUGmZQ52aBapLZEPTcQAALopiAwAAAADgkgJ8vTSo25lNxD9K22c4DYDLcTicSkk/u2l4CzYNBwBcMYoNAAAAAIDLGhJ/5lY2y37MVV7+acNpAFzK6p+Oas+RIgX4eunOmAjTcQAALoxiAwAAAADgsjpGBKp78yCVOZz6eN1+03EAXMLcn6+surtbM9X39TKcBgDgyig2AAAAAAAu7ewGxPPS96vcwSbiQF2Ul39ay37MlSQNSWhuOA0AwNVRbAAAAAAAXNrtXZqqYT1vZZ84pVU78kzHAXABH6/brzKHU7EtGqlD00DTcQAALo5iAwAAAADg0vy8bbo3NlKSNHdNluE0AP5bucOpeelnbhWXxNUaAIBqQLEBAAAAAHB5Z29ts3J7ng4cLzacBsB/WrUjT9knTinI31u3dW5qOg4AwA1QbAAAAAAAXF7rkAD1atVYTqe0YC2biAN1ydkrqe7tHik/b5vhNAAAd0CxAQAAAABwC0k9z1y1MX/tftnLHYbTAJCkA8eLtXL7mb1vErkNFQCgmlBsAAAAAADcQv+O4WoS4KvDBSVaviXXdBwAOnMFldMpXde6sVqHBJiOAwBwExQbAAAAAAC34ONl1QM9ft5EPI1NxAHT7OUOzV97dtPwFobTAADcCcUGAAAAAMBtDO7RXBaL9O2uI9pzpMh0HMCjLd+Sq8MFJQpp4Kv+14aZjgMAcCMUGwAAAAAAtxEV7K+brgmRJM1L56oNwKSzV049EBclbxu/ggIAVB++qwAAAAAA3MrZW958sm6/TtvLDacBPNOeI0X6dtcRWSzS4Pgo03EAAG6GYgMAAAAA4FZubh+qiIZ+Ol5s15LNOabjAB7p7BVTN7cLVWQjf8NpAADuhmIDAAAAAOBWbFaLBsc3lyTNTdtnOA3geU7by/XJurObhjc3nAYA4I4oNgAAAAAAbueBHlGyWS1au/e4tucUmI4DeJQlm3N0vNiuiIZ+uqldqOk4AAA3RLEBAAAAAHA7YYF+6tchTJKUwlUbQK06e6VUYnxz2awWw2kAAO6IYgMAAAAA4JaSep65Bc7f12eruLTMcBrAM2zLydfavcdls1r0QA82DQcA1AyKDQAAAACAW7q+dRO1aOyvgpIyfb7xoOk4gEdISTuzaXj/jmEKDfQznAYA4K4oNgAAAAAAbslqtWjIz5uIf7Qmy3AawP0VlZTp7+uzJUlJCS0MpwEAuDOKDQAAAACA27o3NlI+Nqs2ZZ/UDwdOmI4DuLXPNx5UYUmZohv767rWjU3HAQC4MYoNAAAAAIDbahzgq4GdwyVJc7lqA6hRc3++DdWQhOaysmk4AKAGUWwAAAAAANza2VvifLbxoE6eshtOA7inHw6c0Kbsk/KxWXVvLJuGAwBqFsUGAAAAAMCt9YhupLahATplL9eiDdmm4wBu6ewVUbd1DldwfR/DaQAA7o5iAwAAAADg1iwWi5ISzmwiPjdtn5xOp+FEgHs5ecquzzYelCQl9WTTcABAzaPYAAAAAAC4vbu7R8rP26oduYVat++46TiAW1m0IVun7OW6JixAcS0amY4DAPAAFBsAAAAAALfXsJ637oyJkCTNXbPPcBrAfTidTs1NO/NvKimhhSwWNg0HANQ8ig0AAAAAgEc4u4n44k05OlZUajgN4B7W7TuuHbmFqudt093dm5mOAwDwEBQbAAAAAACP0CWyoTo1C1RpuUOfZuw3HQdwC2evgLozJkKBft6G0wAAPAXFBgAAAADAI5zZRPzMVRspaVlyONhEHLgax4pKtXhTjiQpqWdzw2kAAJ6EYgMAAAAA4DHujIlQA18v7T1arO93HzUdB3Bpn2bsV2m5Q10iG6pLZJDpOAAAD0KxAQAAAADwGPV9vSr2ATi74TGAqnM4nEpJy5IkJSVwtQYAoHZRbAAAAAAAPMqQn38Ju2xLrnLzTxtOA7im73cf1d6jxWrg66U7YiJMxwEAeBiKDQAAAACAR2kfHqi4Fo1U7nDq47VsIg5cibNXPP2yezP5+3gZTgMA8DQUGwAAAAAAj3N2o+N56VkqZxNxoEpy809r2ZZcSdKQhBaG0wAAPBHFBgAAAADA4wzs1FRB/t46ePK0vt6eZzoO4FI+Xrtf5Q6nekQ3UrvwBqbjAAA8EMUGAAAAAMDj+HnbdF9spCRp7s8bIAO4vHKHU/PSz24aztUaAAAzKDYAAAAAAB4pMf7M7ai+2p6nA8eLDacBXMNX2/J08ORpNfL31oBO4abjAAA8FMUGAAAAAMAjtQoJ0PVtGsvpVMV/gQ7g0s5uGn5fXJT8vG2G0wAAPBXFBgAAAADAY529lc6CtQdUWuYwnAao2/YfK9bXOw5L+vcVTwAAmECxAQAAAADwWP06himkga+OFJYodUuu6ThAnTZ/bZacTql3myZq2aS+6TgAAA9GsQEAAAAA8FjeNqseiIuS9O9b7AA4X2mZQwvWHpAkJSVwtQYAwKwrKjamTZum6Oho+fn5KSEhQenp6Rc9d8aMGbrhhhvUqFEjNWrUSH379r3k+QAAAAAA1KbB8VGyWKTvdx/V7sOFpuMAdVLqllwdKSxRSANf9e0YZjoOAMDDVbnYWLBggcaNG6dnnnlG69evV0xMjG699Vbl5eVd8Pyvv/5aiYmJ+uqrr7R69WpFRUWpf//+ys7OvurwAAAAAABcrchG/rq5XagkaV4am4gDF3L2iqbBPaLkbeMGIAAAs6r8nej1119XcnKyRo4cqY4dO+qdd96Rv7+/Zs2adcHz586dq0cffVRdu3ZV+/bt9d5778nhcGjFihVXHR4AAAAAgOpw9tY6n64/oNP2csNpgLpl9+FCfb/7qKwWaTCbhgMA6oAqFRulpaXKyMhQ3759//0EVqv69u2r1atXV+o5iouLZbfbFRwcXLWkAAAAAADUkJvahSqioZ9OFNu1eNMh03GAOuXslUw3twtVs6B6htMAACB5VeXkI0eOqLy8XGFh595LMSwsTNu2bavUc/z+979XRETEOeXIfyspKVFJSUnFx/n5+ZIku90uu91elchu5+zX7+lzqG7MtWYw15rBXKsfM60ZzLVmuNtcfW1O0xEkSb5W5zn/1yTTf7emXx8wxWa1KDG+uV5L3aG5aVn6ZfdI05GAOuG0vVyfrv950/CeXK0BAKgbqlRsXK0XX3xR8+fP19dffy0/P7+LnjdlyhRNmjTpvOPLli2Tv79/TUZ0GampqaYjuCXmWjOYa81grtWPmdYM5loz3GWuL8ebTnCu5+McpiNo8eLFRl+/uLjY6OsDJj3QI0pTV+xUxr7j2nooX22a8F+mA4s3HdKJYruaBdXTL64JNR0HAABJVSw2mjRpIpvNptzc3HOO5+bmKjw8/JKPffXVV/Xiiy9q+fLl6tKlyyXPnTBhgsaNG1fxcX5+fsWm44GBgVWJ7HbsdrtSU1PVr18/eXt7m47jNphrzWCuNYO5Vj9mWjOYa81wt7l2enap6QiSzlyp8XycQ39cZ1WJw2I0y+ZnbzX6+mevlgY8UWign/p3DNOXm3OUkpalibe3Mx0JMG7uz7ehSoyPks1q9nskAABnVanY8PHxUWxsrFasWKFBgwZJUsVG4GPHjr3o415++WW98MILWrp0qeLi4i77Or6+vvL19T3vuLe3t1ss4KsDs6gZzLVmMNeawVyrHzOtGcy1ZrjLXEvK69YvSEocFuOZTP+9mn59wLSkhBb6cnOOFm7I1pN9W5uOAxi1LadAGfuOy8tq0f1xUabjAABQocq3oho3bpyGDx+uuLg4xcfHa+rUqSoqKtLIkSMlScOGDVOzZs00ZcoUSdJLL72kiRMnKiUlRdHR0crJyZEkBQQEKCAgoBq/FAAAAAAArs51rRsrurG/9h4t1hebctTAdCDAoPlrz+yt0f/aMIUGXvyW4gAA1DZrVR/wwAMP6NVXX9XEiRPVtWtXZWZmasmSJRUbimdlZenQoUMV57/99tsqLS3Vvffeq6ZNm1b8efXVV6vvqwAAAAAAoBpYrRYlJbSQJKWk75fTaTgQYEhJubRo40FJ0tCf/00AAFBXXNHm4WPHjr3orae+/vrrcz7eu3fvlbwEAAAAAABG3BMbqVeWbdeWQwXKamI6DWBGxhGLikrK1apJffVq3dh0HAAAzlHlKzYAAAAAAHBnwfV9dHvnppKk73JYNsPzOJ1OfZd75r0/JKG5LJa6tScWAAD8hAYAAAAAwH9JSmguSVp/1KL8U3bDaYDatSk7XweKLPLxsuqe7pGm4wAAcB6KDQAAAAAA/ktsi0a6JjRAdodFEz/fqnIHm23AM+SftuvZL7ZKkm67NkyN6vsYTgQAwPkoNgAAAAAA+C8Wi0XjB1wjq8Wpf27K0W8/2Ui5AbdXcNqu4bPStSk7X/W9nHr0plamIwEAcEEUGwAAAAAAXMANbZtoRFuHbFaL/r4hW+P/9oMclBtwU0UlZRo5e602ZJ1Qw3peerRjuVo2qW86FgAAF0SxAQAAAADARcQ0dur1ezvLapE+yTig/1u0iXIDbqe4tEwj56zVun3H1cDPS3OGxymSTgMAUIdRbAAAAAAAcAm3dQ7Xnx/oKqtFmpe+XxM/2yynk3ID7uFUabkeen+d0vccUwNfL304OkGdmgWajgUAwCVRbAAAAAAAcBl3dW2mV+6NkcUifbQmS5M+30K5AZd32l6uhz9cp+93H1V9H5vmjIpX16gg07EAALgsig0AAAAAACrhnthIvfTLLpKkOd/v1eTFWyk34LJKysr1q48y9K+dR+T/c6kR26KR6VgAAFQKxQYAAAAAAJV0f48oTb67syRpxr/26OWl2yk34HJKyxwaM3e9vt5+WH7eVs0a0UM9ooNNxwIAoNIoNgAAAAAAqIIhCc313F3XSpLe/nq3/py6w3AioPLs5Q79et56Ld+aJ18vq2YO76GerRqbjgUAQJVQbAAAAAAAUEXDekVr4v90lCS9uXKX3li+03Ai4PLKyh16fH6mlv6YKx+bVdOHxen6Nk1MxwIAoMooNgAAAAAYdezYMSUlJSkwMFBBQUEaPXq0CgsLL3r+3r17ZbFYLvjnk08+qTjvQp+fP39+bXxJ8BCjerfUH25rL0n68/IdmvbVLsOJgIsrdzg17uON+uemQ/K2WfTug7H6xTUhpmMBAHBFvEwHAAAAAODZkpKSdOjQIaWmpsput2vkyJF6+OGHlZKScsHzo6KidOjQoXOOTZ8+Xa+88ooGDhx4zvHZs2drwIABFR8HBQVVe354todvbK0yh1MvL9muV5Zul7fNoodvbG06FnCOcodTv/1koz7beFBeVov+mhSrm9uHmo4FAMAVo9gAAAAAYMzWrVu1ZMkSrV27VnFxcZKkv/zlL7rtttv06quvKiIi4rzH2Gw2hYeHn3Ns4cKFuv/++xUQEHDO8aCgoPPOBarboze1UVm5U6+n7tDkxdtks1o1undL07EASZLD4dT4v/2gv2/Ils1q0VtDuqlfxzDTsQAAuCrcigoAAACAMatXr1ZQUFBFqSFJffv2ldVqVVpaWqWeIyMjQ5mZmRo9evR5nxszZoyaNGmi+Ph4zZo1S06ns9qyA//psT5t9dgtbSRJz3+xRR+s3ms2EKAzpcb/LdqkTzIOyGqR3hjcVQM6NTUdCwCAq8YVGwAAAACMycnJUWjoubdD8fLyUnBwsHJycir1HDNnzlSHDh103XXXnXP8ueee0y233CJ/f38tW7ZMjz76qAoLC/XYY49d8HlKSkpUUlJS8XF+fr4kyW63y263V+XLqlZnX9tkBk9V1dmPvamlSuzlevdfezTxHz9KTocSe0TVZES3xnv/6jidTj37xVbNSz9TarxyT2fd2iGkUvNk9mYxf7OYvznM3qy6MP+qvDbFBgAAAIBqN378eL300kuXPGfr1q1X/TqnTp1SSkqK/vjHP573uf881q1bNxUVFemVV165aLExZcoUTZo06bzjy5Ytk7+//1VnvVqpqammI3isqsy+g1O6palVKw9ZNfGzrdqyebN6hXGl0NXgvV91Tqf0971WfZNjlUVOJbZ2yCt7gxZnb6jS8zB7s5i/WczfHGZvlsn5FxcXV/pcig0AAAAA1e7JJ5/UiBEjLnlOq1atFB4erry8vHOOl5WV6dixY5XaG+PTTz9VcXGxhg0bdtlzExIS9Pzzz6ukpES+vr7nfX7ChAkaN25cxcf5+fmKiopS//79FRgYeNnnryl2u12pqanq16+fvL29jeXwRFc6+9ucTr3w5Xa9vzpLC/bY1K3rtfplt2Y1mNQ98d6/Mk6nUy8t3aFvcvZJkl4Y1En3xVbt/cfszWL+ZjF/c5i9WXVh/mevmK4Mig0AAAAA1S4kJEQhISGXPa9Xr146ceKEMjIyFBsbK0lauXKlHA6HEhISLvv4mTNn6s4776zUa2VmZqpRo0YXLDUkydfX94Kf8/b2rhOL67qSwxNdyeyfvbOTnLLog9X7NH7hj/Lz8dZdXSk3rgTv/cpzOp16acl2zfzuTKkx+e7OGpLQ/Iqfj9mbxfzNYv7mMHuzTM6/Kq9LsQEAAADAmA4dOmjAgAFKTk7WO++8I7vdrrFjx2rw4MGKiIiQJGVnZ6tPnz764IMPFB8fX/HYXbt26ZtvvtHixYvPe97PP/9cubm56tmzp/z8/JSamqrJkyfrqaeeqrWvDZ7NYrHo2Tuulb3cqXnpWXpiQaasFovuiIkwHQ1u7PXUHXpn1W5J0nN3XXtVpQYAAHUZxQYAAAAAo+bOnauxY8eqT58+slqtuueee/Tmm29WfN5ut2v79u3n3XN31qxZioyMVP/+/c97Tm9vb02bNk1PPPGEnE6n2rRpo9dff13Jyck1/vUAZ1mtFr0wqJPKHQ59vO6AHl+QKS+rRQM7NzUdDW7ojeU79ZeVuyRJE/+no4b1ijYbCACAGkSxAQAAAMCo4OBgpaSkXPTz0dHRcjrP33x58uTJmjx58gUfM2DAAA0YMKDaMgJXymq1aMovu6jM4dTf12fr1/M26K9Wi/pfe/k9ZIDKmvbVLv15+Q5J0v/d1kGjerc0nAgAgJplNR0AAAAAAAB3ZrNa9Mq9Mbqra4TKHE6NSVmvldtyTceCm5j+zW69snS7JOl3A9op+cZWhhMBAFDzKDYAAAAAAKhhNqtFr90Xo9u7NJW93Klffbheq3YcNh0LLm7mt3s0efE2SdK4ftfo0ZvaGE4EAEDtoNgAAAAAAKAWeNmsmvpAVw24Nlyl5Q49/ME6fbvziOlYcFHvf79Xz3+xRZL02C1t9FiftoYTAQBQeyg2AAAAAACoJd42q95M7Ka+HUJVUubQQx+s1erdR03HgouZm7ZPz3z2oyTpkZta64l+1xhOBABA7aLYAAAAAACgFvl4WTUtqbtubhei03aHRs1Zq/Q9x0zHgotYsDZL/7dwsyTp4Rtb6Xe3tpPFYjGcCgCA2kWxAQAAAABALfP1suntobG6oW0TnbKXa+TsdGXso9zApX2acUDj/75JkjTy+mhNGNieUgMA4JEoNgAAAAAAMMDP26YZw+J0fZvGKiot1/BZa5W5/4TpWKijFm3I1m8/3SinUxrWq4Um/k9HSg0AgMei2AAAAAAAwBA/b5veG9ZDCS2DVVhSpgdnpmnTgZOmY6GO+XzjQY37OFNOp5QY31zP3nEtpQYAwKNRbAAAAAAAYFA9H5tmjeihHtGNVHC6TENnpunHg5QbOOPLTYf0+IJMOZzS/XGRemFQJ1mtlBoAAM9GsQEAAAAAgGH1fb00e2S8ujcP0slTdg19L03bcvJNx4Jhy37M0a/nbVC5w6lfdm+mKb/sQqkBAIAoNgAAAAAAqBMCfL00Z1S8YqKCdLzYrqQZadqZW2A6FgxZuS1XY1LWq8zh1F1dI/TKvTGyUWoAACCJYgMAAAAAgDoj0M9bH4yKV6dmgTpaVKrEGWnalVdoOhZq2aodh/WrD9fLXu7U7V2a6rX7KDUAAPhPFBsAAAAAANQhDet566PRCerQNFBHCks0ZMYa7TlSZDoWasm3O48o+YN1Ki13aMC14Zr6QFd52fj1DQAA/4nvjAAAAAAA1DFB/j6a+1CC2oU1UF5BiRKnr9G+o5Qb7m717qN66IO1Ki1zqG+HUL2Z2E3elBoAAJyH744AAAAAANRBwfV9NDc5QW1DA5STf1pDZqRp/7Fi07FQQ9L3HNOoOWt12u7Qze1CNC2pu3y8+LUNAAAXwndIAAAAAADqqCYBvpqbnKBWIfWVfeKUEmesUfaJU6ZjoZpl7DumkbPTdcperhvaNtHbQ2Pl62UzHQsAgDqLYgMAAAAAgDostIGf5iX3VHRjfx04fkpDZqxRzsnTpmOhmmzIOq7hs9aqqLRc17dprBnD4uTnTakBAMClUGwAAAAAAFDHhQX6KSW5p6KC62nf0WIlzlijvHzKDVf3w4ETGjYrXYUlZUpoGaz3hvWg1AAAoBIoNgAAAAAAcAERQfU0L7mnmgXV054jRUqcsUaHC0pMx8IV2px9Ug/OTFfB6TL1iG6kWSN6qJ4PpQYAAJVBsQEAAAAAgIuIbOSveck9FdHQT7sPF2nIjDU6Wki54Wq25eTrwZlpOnnKru7NgzR7ZLzq+3qZjgUAgMug2AAAAAAAwIU0b+yvlOSeCgv01c68QiW9l6bjRaWmY6GSduYWKGlGmo4X2xUTFaQ5o+IVQKkBAECVUGwAAAAAAOBiopvU17zkngpp4KttOQUaOjNNJ4vtpmPhMnblFSpxRpqOFpWqU7NAfTAqXoF+3qZjAQDgcig2AAAAAABwQa1CAjQvOUFNAnz048F8PTjrzK2NUDftOXLm1mFHCkvUoWmgPhqdoIb1KDUAALgSFBsAAAAAALioNqENNPehngqu76MfDpzU8FnpKjhNuVHX7DtapMTpa5RXUKJ2YQ0096EEBfn7mI4FAIDLotgAAAAAAMCFtQtvoI9GJyjI31uZ+09oxOy1KiwpMx0LP9t/rFhDZqQpJ/+02oYGaG5ygoLrU2oAAHA1KDYAAAAAAHBxHSPO3Noo0M9LGfuOa9TstSoupdwwLfvEKSXOWKPsE6fUKqS+5iYnqEmAr+lYAAC4PIoNAAAAAADcQKdmDfXh6AQ18PVS+t5jGj1nnU6VlpuO5bEOnTylITPW6MDxU4pu7K95yT0V2sDPdCwAANwCxQYAAAAAAG4iJipI74+OV4Cvl1b/dFQPf7hOp+2UG7UtN/+0hsxI076jxYoKrqeU5J4KC6TUAACgulBsAAAAAADgRro3b6Q5I3vI38emf+08ov/9MEMlZZQbteVwQYmGzFijPUeK1CyonuYl91REUD3TsQAAcCsUGwAAAAAAuJm46GDNHtFD9bxtWrXjsB79aL1KyxymY7m9o4VnSo3dh4sU0dBP85J7KrKRv+lYAAC4HYoNAAAAAADcUEKrxpo5PE6+Xlat2JansSnrZS+n3Kgpx4tKlfRemnbmFSos0FcpyT3VvDGlBgAANYFiAwAAAAAAN3VdmyZ6b3icfLysWrYlV7+Zv0FllBvV7kTxmVJjW06BQhr4al5yT0U3qW86FgAAbotiAwAAAAAAN3ZD2xC9+2CsfGxWLd6Uoyc+3ki5UY1OnrLrwZnp2nIoX00CfDQvOUGtQgJMxwIAwK1RbAAAAAAA4OZubheqvyZ1l7fNos83HtRvP/1B5Q6n6Vgur+C0XcNnpWtT9kkF1/fR3Id6qk1oA9OxAABwexQbAAAAAAB4gL4dw/SXxO7yslq0cEO2fv+3H+Sg3LhihSVlGjF7rTL3n1CQv7c+Gp2gduGUGgAA1AaKDQAAAAAAPMSATuF6M7GbbFaLPs04oD8s3ES5cQWKS8s0avZaZew7rkA/L300OkEdIwJNxwIAwGNQbAAAAAAA4EFu69xUf36gq6wWaf7a/Zr42WY5nZQblXWqtFyj56xT+t5jauDrpQ9HJ6hTs4amYwEA4FEoNgAAAAAA8DB3xkTotftjZLFIH63J0qTPt1BuVMJpe7mSP1in1T8dVYCvl94fHa+YqCDTsQAA8DgUGwAAAAAAeKC7u0XqpXu6SJLmfL9XL/xzK+XGJZy2l+t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      "text/plain": [
       "<Figure size 1600x800 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def create_vector_pairs(num_qubits, inverse=False):\n",
    "    vector_pairs = []\n",
    "\n",
    "    print(\"\\n*** \" + str(num_qubits) + \"-Qubit ***\")\n",
    "    \n",
    "    for frequency in range(2**num_qubits):\n",
    "        # input vector\n",
    "        input_vector = np.zeros(2**num_qubits, dtype=complex).tolist()\n",
    "        input_vector[frequency] = 1+0j\n",
    "\n",
    "        # output vector\n",
    "        output_vector = np.fft.ifft(input_vector, norm=\"ortho\").tolist()\n",
    "        \n",
    "        if(inverse):\n",
    "            vector_pairs.append([output_vector, input_vector])\n",
    "        else:\n",
    "            vector_pairs.append([input_vector, output_vector])\n",
    "            \n",
    "        plot_vector_pair(input_vector, output_vector)\n",
    "        \n",
    "    return vector_pairs\n",
    "\n",
    "\n",
    "# Generate vectors using classical FFT\n",
    "\n",
    "NUM_QUBITS = 3\n",
    "inverse = False\n",
    "\n",
    "vector_pairs = create_vector_pairs(num_qubits=NUM_QUBITS, inverse=inverse)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step2: Reverse-engineer quantum circuit from vectors"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Running...\n",
      "\n",
      "Output:\n",
      "\n",
      "OPENQASM 2.0;\n",
      "include \"qelib1.inc\";\n",
      "qreg q[3];\n",
      "h q[1];\n",
      "h q[2];\n",
      "swap q[0], q[2];\n",
      "h q[1];\n",
      "cu1 (1.570796326794897) q[0], q[1];\n",
      "h q[1];\n",
      "cu1 (1.570796326794896) q[1], q[2];\n",
      "cu1 (0.785398163397448) q[0], q[2];\n",
      "h q[2];\n",
      "\n"
     ]
    },
    {
     "data": {
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stroke-width=\"1\"/><text class=\"qc-wire-label\" x=\"20\" y=\"186\" dominant-baseline=\"hanging\" text-anchor=\"start\" font-size=\"75%\">q2</text><g class=\"qc-gate-group\" data-id=\"syX6g2htpUYFC2mkSJ\" data-gate=\"h\"><rect class=\"qc-gate-box\" x=\"68\" y=\"108\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"88\" y=\"128\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">H</text><text class=\"qc-gate-params\" x=\"88\" y=\"154\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\"/></g><g class=\"qc-gate-group\" data-id=\"Nl9dYixShCilhq3y3B\" data-gate=\"h\"><rect class=\"qc-gate-box\" x=\"68\" y=\"182\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"88\" y=\"202\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">H</text><text class=\"qc-gate-params\" x=\"88\" y=\"228\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\"/></g><g class=\"qc-gate-group\" data-id=\"sfXWGoVyxW3DjfuxKV\" data-gate=\"swap\"><line class=\"qc-gate-link\" x1=\"156\" x2=\"156\" y1=\"54\" y2=\"202\" stroke=\"black\" stroke-width=\"1\"/><line class=\"qc-gate-x\" x1=\"148\" x2=\"164\" y1=\"46\" y2=\"62\" stroke=\"black\" stroke-width=\"1\"/><line class=\"qc-gate-x\" x1=\"148\" x2=\"164\" y1=\"62\" y2=\"46\" stroke=\"black\" stroke-width=\"1\"/><line class=\"qc-gate-x\" x1=\"148\" x2=\"164\" y1=\"194\" y2=\"210\" stroke=\"black\" stroke-width=\"1\"/><line class=\"qc-gate-x\" x1=\"148\" x2=\"164\" y1=\"210\" y2=\"194\" stroke=\"black\" stroke-width=\"1\"/><text class=\"qc-gate-params\" x=\"156\" y=\"228\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\"/></g><g class=\"qc-gate-group\" data-id=\"ndkhuCmLJnoWK7dNCk\" data-gate=\"h\"><rect class=\"qc-gate-box\" x=\"204\" y=\"108\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"224\" y=\"128\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">H</text><text class=\"qc-gate-params\" x=\"224\" y=\"154\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\"/></g><g class=\"qc-gate-group\" data-id=\"wXfdqHMr8R3dDNzOMk\" data-gate=\"cu1\"><line class=\"qc-gate-link\" x1=\"292\" x2=\"292\" y1=\"54\" y2=\"128\" stroke=\"black\" stroke-width=\"1\"/><circle class=\"qc-gate-dot\" cx=\"292\" cy=\"54\" r=\"5\" stroke=\"black\" fill=\"black\" stroke-width=\"1\"/><rect class=\"qc-gate-box\" x=\"272\" y=\"108\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"292\" y=\"128\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">CU1</text><text class=\"qc-gate-params\" x=\"292\" y=\"154\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">1.571</text></g><g class=\"qc-gate-group\" data-id=\"MnSetIzMfFxmmxdPlj\" data-gate=\"h\"><rect class=\"qc-gate-box\" x=\"340\" y=\"108\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"360\" y=\"128\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">H</text><text class=\"qc-gate-params\" x=\"360\" y=\"154\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\"/></g><g class=\"qc-gate-group\" data-id=\"GN6eTlXThIjXGaK4ip\" data-gate=\"cu1\"><line class=\"qc-gate-link\" x1=\"428\" x2=\"428\" y1=\"128\" y2=\"202\" stroke=\"black\" stroke-width=\"1\"/><circle class=\"qc-gate-dot\" cx=\"428\" cy=\"128\" r=\"5\" stroke=\"black\" fill=\"black\" stroke-width=\"1\"/><rect class=\"qc-gate-box\" x=\"408\" y=\"182\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"428\" y=\"202\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">CU1</text><text class=\"qc-gate-params\" x=\"428\" y=\"228\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">1.571</text></g><g class=\"qc-gate-group\" data-id=\"lzLmJzlhpzWVZhg53c\" data-gate=\"cu1\"><line class=\"qc-gate-link\" x1=\"496\" x2=\"496\" y1=\"54\" y2=\"202\" stroke=\"black\" stroke-width=\"1\"/><circle class=\"qc-gate-dot\" cx=\"496\" cy=\"54\" r=\"5\" stroke=\"black\" fill=\"black\" stroke-width=\"1\"/><rect class=\"qc-gate-box\" x=\"476\" y=\"182\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"496\" y=\"202\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">CU1</text><text class=\"qc-gate-params\" x=\"496\" y=\"228\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">0.785</text></g><g class=\"qc-gate-group\" data-id=\"WvLYgWsRpQnVLtOimg\" data-gate=\"h\"><rect class=\"qc-gate-box\" x=\"544\" y=\"182\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"564\" y=\"202\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">H</text><text class=\"qc-gate-params\" x=\"564\" y=\"228\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\"/></g></svg>"
      ],
      "text/plain": [
       "<IPython.core.display.SVG object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from quantastica.qps_api import QPS\n",
    "\n",
    "\n",
    "def circuit_from_vector_pairs(vector_pairs, generator_settings):\n",
    "    print(\"Running...\\n\")\n",
    "\n",
    "    job_id = QPS.generator.circuit_from_vectors(vector_pairs, settings = generator_settings)\n",
    "\n",
    "    job = QPS.generator.get_job(job_id, wait=True)\n",
    "\n",
    "    job_status = job[\"status\"]\n",
    "    job_output = job[\"output\"]\n",
    "\n",
    "    if(job_status == \"error\"):\n",
    "        raise Exception(job_output[\"message\"])\n",
    "    else:\n",
    "        circuit = job_output[\"circuits\"][0]\n",
    "        qasm = circuit[\"qasm\"]\n",
    "        print(\"Output:\\n\")\n",
    "        print(qasm)\n",
    "        display_circuit(qasm)\n",
    "\n",
    "    return circuit\n",
    "\n",
    "#\n",
    "# Reverse-engineer circuit from vectors\n",
    "#\n",
    "# This method is slow for more than 3 qubits, but returns optimal solution:\n",
    "#\n",
    "resulting_circuit = circuit_from_vector_pairs(vector_pairs, generator_settings = { \"single_solution\": True, \"pre_processing\": \"experimental1\", \"instruction_set\": [\"h\", \"cu1\", \"swap\"] })\n",
    "\n",
    "#\n",
    "# For more than 3 qubits please use following settings:\n",
    "#\n",
    "# circuit_from_vector_pairs(vector_pairs, generator_settings = { \"single_solution\": True, \"strategy\": \"strategy_b\" })\n",
    "#\n",
    "# This strategy will return deeper circuit (with u3,cx instruction set) which can be transpiled/optimmized later\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Resulting circuit is QFT.\n",
    "\n",
    "**Note** that gates in the resulting circuit are arranged differently than what you can usually see in textbooks (swap gates are usually at the end of the circuit etc.), but circuit is perfectly valid QFT. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Step3 (Optional) - Transpile to IONQ native instruction set\n",
    "\n",
    "(this will take about 2-3 minutes...)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/svg+xml": [
       "<svg xmlns=\"http://www.w3.org/2000/svg\" class=\"qc-circuit\" width=\"1496\" height=\"256\" version=\"1.1\"><text class=\"qc-wire-init\" x=\"0\" y=\"54\" dominant-baseline=\"middle\" text-anchor=\"start\">|0⟩</text><line class=\"qc-wire\" x1=\"20\" x2=\"1496\" y1=\"54\" y2=\"54\" stroke=\"black\" stroke-width=\"1\"/><text class=\"qc-wire-label\" x=\"20\" y=\"38\" dominant-baseline=\"hanging\" text-anchor=\"start\" font-size=\"75%\">q0</text><text class=\"qc-wire-init\" x=\"0\" y=\"128\" dominant-baseline=\"middle\" text-anchor=\"start\">|0⟩</text><line class=\"qc-wire\" x1=\"20\" x2=\"1496\" y1=\"128\" y2=\"128\" stroke=\"black\" stroke-width=\"1\"/><text class=\"qc-wire-label\" x=\"20\" y=\"112\" dominant-baseline=\"hanging\" text-anchor=\"start\" font-size=\"75%\">q1</text><text class=\"qc-wire-init\" x=\"0\" y=\"202\" dominant-baseline=\"middle\" text-anchor=\"start\">|0⟩</text><line class=\"qc-wire\" x1=\"20\" x2=\"1496\" y1=\"202\" y2=\"202\" stroke=\"black\" stroke-width=\"1\"/><text class=\"qc-wire-label\" x=\"20\" y=\"186\" dominant-baseline=\"hanging\" text-anchor=\"start\" font-size=\"75%\">q2</text><g class=\"qc-gate-group\" data-id=\"nBOvpbmZcZljWqSnzQ\" data-gate=\"gpi2\"><rect class=\"qc-gate-box\" x=\"68\" y=\"182\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"88\" y=\"202\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">GPi2</text><text class=\"qc-gate-params\" x=\"88\" y=\"228\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">1.571</text></g><g class=\"qc-gate-group\" data-id=\"kO0kP6BT0LgFe8ztak\" data-gate=\"gpi\"><rect class=\"qc-gate-box\" x=\"136\" y=\"182\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"156\" y=\"202\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">GPi</text><text class=\"qc-gate-params\" x=\"156\" y=\"228\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">0</text></g><g class=\"qc-gate-group\" data-id=\"vuMFoDruTr1EsUCUKY\" data-gate=\"ms\"><line class=\"qc-gate-link\" x1=\"224\" x2=\"224\" y1=\"54\" y2=\"202\" stroke=\"black\" stroke-width=\"1\"/><rect class=\"qc-gate-box\" x=\"204\" y=\"34\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"224\" y=\"54\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">MS</text><rect class=\"qc-gate-box\" x=\"204\" y=\"182\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"224\" y=\"202\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">MS</text><text class=\"qc-gate-params\" x=\"224\" y=\"228\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">-4.281, -5.385</text></g><g class=\"qc-gate-group\" data-id=\"t9MxEa0f7HoylHYzAY\" data-gate=\"gpi2\"><rect class=\"qc-gate-box\" x=\"272\" y=\"34\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"292\" y=\"54\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">GPi2</text><text class=\"qc-gate-params\" x=\"292\" y=\"80\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">-4.833</text></g><g class=\"qc-gate-group\" data-id=\"PKIDPq8nc988f8aync\" data-gate=\"gpi2\"><rect class=\"qc-gate-box\" x=\"272\" y=\"182\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"292\" y=\"202\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">GPi2</text><text class=\"qc-gate-params\" x=\"292\" y=\"228\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">-4.833</text></g><g class=\"qc-gate-group\" data-id=\"MM1R73zmUYraDfc5pk\" data-gate=\"ms\"><line class=\"qc-gate-link\" x1=\"360\" x2=\"360\" y1=\"54\" y2=\"202\" stroke=\"black\" stroke-width=\"1\"/><rect class=\"qc-gate-box\" x=\"340\" y=\"182\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"360\" y=\"202\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">MS</text><text class=\"qc-gate-params\" x=\"360\" y=\"228\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">-3.262, 6.163</text><rect class=\"qc-gate-box\" x=\"340\" y=\"34\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"360\" y=\"54\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">MS</text></g><g class=\"qc-gate-group\" data-id=\"DkyP22uEl4VbxVejlR\" data-gate=\"gpi2\"><rect class=\"qc-gate-box\" x=\"408\" y=\"34\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"428\" y=\"54\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">GPi2</text><text class=\"qc-gate-params\" x=\"428\" y=\"80\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">-4.833</text></g><g class=\"qc-gate-group\" data-id=\"Qwnsob1gVVtvXksEAv\" data-gate=\"gpi2\"><rect class=\"qc-gate-box\" x=\"408\" y=\"182\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"428\" y=\"202\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">GPi2</text><text class=\"qc-gate-params\" x=\"428\" y=\"228\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">-4.833</text></g><g class=\"qc-gate-group\" data-id=\"tlyikfhkI4skQv2YeK\" data-gate=\"ms\"><line class=\"qc-gate-link\" x1=\"496\" x2=\"496\" y1=\"54\" y2=\"202\" stroke=\"black\" stroke-width=\"1\"/><rect class=\"qc-gate-box\" x=\"476\" y=\"34\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"496\" y=\"54\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">MS</text><rect class=\"qc-gate-box\" x=\"476\" y=\"182\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"496\" y=\"202\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">MS</text><text class=\"qc-gate-params\" x=\"496\" y=\"228\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">5.611, -2.71</text></g><g class=\"qc-gate-group\" data-id=\"VY9wbqVBTrUW2ZX91n\" data-gate=\"gpi2\"><rect class=\"qc-gate-box\" x=\"544\" y=\"108\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"564\" y=\"128\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">GPi2</text><text class=\"qc-gate-params\" x=\"564\" y=\"154\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">3.927</text></g><g class=\"qc-gate-group\" data-id=\"f1mgSgylmIVR9buVA8\" data-gate=\"gpi2\"><rect class=\"qc-gate-box\" x=\"544\" y=\"182\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"564\" y=\"202\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">GPi2</text><text class=\"qc-gate-params\" x=\"564\" y=\"228\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">-1.498</text></g><g class=\"qc-gate-group\" data-id=\"CWDUwyHGkmHBOGZEXD\" data-gate=\"gpi\"><rect class=\"qc-gate-box\" x=\"612\" y=\"108\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"632\" y=\"128\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">GPi</text><text class=\"qc-gate-params\" x=\"632\" y=\"154\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">1.178</text></g><g class=\"qc-gate-group\" data-id=\"ZCddQpw0sgObZqVZts\" data-gate=\"ms\"><line class=\"qc-gate-link\" x1=\"700\" x2=\"700\" y1=\"54\" y2=\"128\" stroke=\"black\" stroke-width=\"1\"/><rect class=\"qc-gate-box\" x=\"680\" y=\"108\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"700\" y=\"128\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">MS</text><text class=\"qc-gate-params\" x=\"700\" y=\"154\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">3.142, 1.521</text><rect class=\"qc-gate-box\" x=\"680\" y=\"34\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"700\" y=\"54\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">MS</text></g><g class=\"qc-gate-group\" data-id=\"xNCiIiPSLms5nT0hpv\" data-gate=\"gpi2\"><rect class=\"qc-gate-box\" x=\"748\" y=\"34\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"768\" y=\"54\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">GPi2</text><text class=\"qc-gate-params\" x=\"768\" y=\"80\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">1.521</text></g><g class=\"qc-gate-group\" data-id=\"ywjwGdc0fG7t4BztGP\" data-gate=\"ms\"><line class=\"qc-gate-link\" x1=\"836\" x2=\"836\" y1=\"54\" y2=\"128\" stroke=\"black\" stroke-width=\"1\"/><rect class=\"qc-gate-box\" x=\"816\" y=\"108\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"836\" y=\"128\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">MS</text><text class=\"qc-gate-params\" x=\"836\" y=\"154\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">0, -0.835</text><rect class=\"qc-gate-box\" x=\"816\" y=\"34\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"836\" y=\"54\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">MS</text></g><g class=\"qc-gate-group\" data-id=\"ks6gVTYPh2YEm4tDjq\" data-gate=\"gpi2\"><rect class=\"qc-gate-box\" x=\"884\" y=\"34\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"904\" y=\"54\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">GPi2</text><text class=\"qc-gate-params\" x=\"904\" y=\"80\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">2.307</text></g><g class=\"qc-gate-group\" data-id=\"lxwzaXjpUkJvuXyVC3\" data-gate=\"gpi2\"><rect class=\"qc-gate-box\" x=\"884\" y=\"108\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"904\" y=\"128\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">GPi2</text><text class=\"qc-gate-params\" x=\"904\" y=\"154\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">1.906</text></g><g class=\"qc-gate-group\" data-id=\"lT9TWbXQ2v8djRNJlr\" data-gate=\"gpi2\"><rect class=\"qc-gate-box\" x=\"952\" y=\"34\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"972\" y=\"54\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">GPi2</text><text class=\"qc-gate-params\" x=\"972\" y=\"80\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">1.829</text></g><g class=\"qc-gate-group\" data-id=\"YqjpUjVG4ybmbeqjSx\" data-gate=\"ms\"><line class=\"qc-gate-link\" x1=\"972\" x2=\"972\" y1=\"128\" y2=\"202\" stroke=\"black\" stroke-width=\"1\"/><rect class=\"qc-gate-box\" x=\"952\" y=\"108\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"972\" y=\"128\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">MS</text><rect class=\"qc-gate-box\" x=\"952\" y=\"182\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"972\" y=\"202\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">MS</text><text class=\"qc-gate-params\" x=\"972\" y=\"228\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">0.335, 1.644</text></g><g class=\"qc-gate-group\" data-id=\"pTeWIdFcicQNklz7v0\" data-gate=\"gpi\"><rect class=\"qc-gate-box\" x=\"1020\" y=\"108\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"1040\" y=\"128\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">GPi</text><text class=\"qc-gate-params\" x=\"1040\" y=\"154\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">3.869</text></g><g class=\"qc-gate-group\" data-id=\"NogXnXnI1dST7QBdlH\" data-gate=\"gpi2\"><rect class=\"qc-gate-box\" x=\"1020\" y=\"182\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"1040\" y=\"202\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">GPi2</text><text class=\"qc-gate-params\" x=\"1040\" y=\"228\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">-0.712</text></g><g class=\"qc-gate-group\" data-id=\"CYeFb8QLNCTXjZRJUl\" data-gate=\"ms\"><line class=\"qc-gate-link\" x1=\"1108\" x2=\"1108\" y1=\"128\" y2=\"202\" stroke=\"black\" stroke-width=\"1\"/><rect class=\"qc-gate-box\" x=\"1088\" y=\"108\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"1108\" y=\"128\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">MS</text><rect class=\"qc-gate-box\" x=\"1088\" y=\"182\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"1108\" y=\"202\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">MS</text><text class=\"qc-gate-params\" x=\"1108\" y=\"228\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">1.12, 2.429</text></g><g class=\"qc-gate-group\" data-id=\"LqPf2JiNUt7sLuRzjx\" data-gate=\"gpi2\"><rect class=\"qc-gate-box\" x=\"1156\" y=\"108\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"1176\" y=\"128\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">GPi2</text><text class=\"qc-gate-params\" x=\"1176\" y=\"154\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">-0.45</text></g><g class=\"qc-gate-group\" data-id=\"t5x7Eqw4TWmM7iI89f\" data-gate=\"vz\"><rect class=\"qc-gate-box\" x=\"1156\" y=\"182\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"1176\" y=\"202\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">VrtZ</text><text class=\"qc-gate-params\" x=\"1176\" y=\"228\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">-2.749</text></g><g class=\"qc-gate-group\" data-id=\"KwCFMHD2sybvWF3axw\" data-gate=\"gpi2\"><rect class=\"qc-gate-box\" x=\"1224\" y=\"182\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"1244\" y=\"202\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">GPi2</text><text class=\"qc-gate-params\" x=\"1244\" y=\"228\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">1.571</text></g><g class=\"qc-gate-group\" data-id=\"wZm4SUu7j7V3hSIfK3\" data-gate=\"ms\"><line class=\"qc-gate-link\" x1=\"1312\" x2=\"1312\" y1=\"54\" y2=\"202\" stroke=\"black\" stroke-width=\"1\"/><rect class=\"qc-gate-box\" x=\"1292\" y=\"34\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"1312\" y=\"54\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">MS</text><rect class=\"qc-gate-box\" x=\"1292\" y=\"182\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"1312\" y=\"202\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">MS</text><text class=\"qc-gate-params\" x=\"1312\" y=\"228\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">1.829, 3.142</text></g><g class=\"qc-gate-group\" data-id=\"PEOfNVCnLpk6OAGazs\" data-gate=\"gpi2\"><rect class=\"qc-gate-box\" x=\"1360\" y=\"34\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"1380\" y=\"54\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">GPi2</text><text class=\"qc-gate-params\" x=\"1380\" y=\"80\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">-0.919</text></g><g class=\"qc-gate-group\" data-id=\"CCJirI1YAdqYFbLaha\" data-gate=\"ms\"><line class=\"qc-gate-link\" x1=\"1448\" x2=\"1448\" y1=\"54\" y2=\"202\" stroke=\"black\" stroke-width=\"1\"/><rect class=\"qc-gate-box\" x=\"1428\" y=\"34\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"1448\" y=\"54\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">MS</text><rect class=\"qc-gate-box\" x=\"1428\" y=\"182\" width=\"40\" height=\"40\" stroke=\"black\" fill=\"white\" stroke-width=\"1\"/><text class=\"qc-gate-label\" x=\"1448\" y=\"202\" dominant-baseline=\"middle\" text-anchor=\"middle\" fill=\"black\">MS</text><text class=\"qc-gate-params\" x=\"1448\" y=\"228\" dominant-baseline=\"hanging\" text-anchor=\"middle\" font-size=\"75%\">-0.919, 3.142</text></g></svg>"
      ],
      "text/plain": [
       "<IPython.core.display.SVG object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "instruction_set = [\"gpi\", \"gpi2\", \"vz\", \"ms\"]\n",
    "\n",
    "job_id = QPS.generator.transpile(resulting_circuit[\"qasm\"], method=\"replace_blocks\", method_options={ \"block_size\": 2, \"two_pass\": False }, settings = { \"instruction_set\": instruction_set, \"pre_processing\": \"experimental1\", \"diff_method\": \"ignorephase\" })\n",
    "\n",
    "job = QPS.generator.get_job(job_id, wait=True)\n",
    "\n",
    "job_status = job[\"status\"]\n",
    "if(job_status == \"error\"):\n",
    "    raise Exception(job_output[\"message\"])\n",
    "\n",
    "job_output = job[\"output\"]\n",
    "if(len(job_output[\"circuits\"]) == 0):\n",
    "    raise Exception(\"No solutions\")\n",
    "\n",
    "transpiled_circuit = job_output[\"circuits\"][0]\n",
    "\n",
    "transpiled_qasm = transpiled_circuit[\"qasmExt\"]\n",
    "\n",
    "display_circuit(transpiled_qasm)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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