transpiled_CNOT.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "7363204e-4ac3-4eaf-8e71-a9c860db13f8",
   "metadata": {},
   "outputs": [],
   "source": [
    "# from qiskit import *\n",
    "# Importing standard Qiskit libraries\n",
    "from qiskit import QuantumCircuit, QuantumRegister, ClassicalRegister\n",
    "from qiskit import Aer, execute, assemble\n",
    "from qiskit.visualization import plot_histogram, plot_bloch_vector\n",
    "from qiskit.visualization import plot_state_qsphere, plot_state_city, plot_bloch_multivector\n",
    "from qiskit.visualization import array_to_latex\n",
    "import qiskit.quantum_info as qi\n",
    "\n",
    "# numpy for linear algebra stuff\n",
    "from numpy.random import randint, shuffle\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# To supress the deprecation warnings\n",
    "import warnings\n",
    "import matplotlib.cbook\n",
    "warnings.filterwarnings(\"ignore\",category=matplotlib.cbook.mplDeprecation)\n",
    "#%run utility_functions.ipynb"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "a8162c69-042c-4397-952f-c9046e602a9d",
   "metadata": {},
   "outputs": [],
   "source": [
    "qc = QuantumCircuit(2,2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "e660fd40-9e14-4d2b-91f4-d1a39cbd7249",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"word-wrap: normal;white-space: pre;background: #fff0;line-height: 1.1;font-family: &quot;Courier New&quot;,Courier,monospace\">     ┌─────────┐┌───────────┐┌──────────┐┌──────────┐ ░ \n",
       "q_0: ┤ Ry(π/2) ├┤0          ├┤ Rx(-π/2) ├┤ Ry(-π/2) ├─░─\n",
       "     └─────────┘│  Rxx(π/2) │├──────────┤└──────────┘ ░ \n",
       "q_1: ───────────┤1          ├┤ Rx(-π/2) ├─────────────░─\n",
       "                └───────────┘└──────────┘             ░ \n",
       "c: 2/═══════════════════════════════════════════════════\n",
       "                                                        </pre>"
      ],
      "text/plain": [
       "     ┌─────────┐┌───────────┐┌──────────┐┌──────────┐ ░ \n",
       "q_0: ┤ Ry(π/2) ├┤0          ├┤ Rx(-π/2) ├┤ Ry(-π/2) ├─░─\n",
       "     └─────────┘│  Rxx(π/2) │├──────────┤└──────────┘ ░ \n",
       "q_1: ───────────┤1          ├┤ Rx(-π/2) ├─────────────░─\n",
       "                └───────────┘└──────────┘             ░ \n",
       "c: 2/═══════════════════════════════════════════════════\n",
       "                                                        "
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc.ry(np.pi/2,0)\n",
    "qc.rxx(np.pi/2,0,1)\n",
    "qc.rx(-np.pi/2,0)\n",
    "qc.rx(-np.pi/2,1)\n",
    "qc.ry(-np.pi/2,0)\n",
    "qc.barrier()\n",
    "qc.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "695b9ee4-2ac3-4008-bb36-24ab77b838c3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit.circuit.instructionset.InstructionSet at 0x7f254c55afc0>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc.measure(0,0)\n",
    "qc.measure(1,1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "a01c5676-986b-476f-b3ab-35f5c55e7b01",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"word-wrap: normal;white-space: pre;background: #fff0;line-height: 1.1;font-family: &quot;Courier New&quot;,Courier,monospace\">     ┌─────────┐┌───────────┐┌──────────┐┌──────────┐ ░ ┌─┐   \n",
       "q_0: ┤ Ry(π/2) ├┤0          ├┤ Rx(-π/2) ├┤ Ry(-π/2) ├─░─┤M├───\n",
       "     └─────────┘│  Rxx(π/2) │├──────────┤└──────────┘ ░ └╥┘┌─┐\n",
       "q_1: ───────────┤1          ├┤ Rx(-π/2) ├─────────────░──╫─┤M├\n",
       "                └───────────┘└──────────┘             ░  ║ └╥┘\n",
       "c: 2/════════════════════════════════════════════════════╩══╩═\n",
       "                                                         0  1 </pre>"
      ],
      "text/plain": [
       "     ┌─────────┐┌───────────┐┌──────────┐┌──────────┐ ░ ┌─┐   \n",
       "q_0: ┤ Ry(π/2) ├┤0          ├┤ Rx(-π/2) ├┤ Ry(-π/2) ├─░─┤M├───\n",
       "     └─────────┘│  Rxx(π/2) │├──────────┤└──────────┘ ░ └╥┘┌─┐\n",
       "q_1: ───────────┤1          ├┤ Rx(-π/2) ├─────────────░──╫─┤M├\n",
       "                └───────────┘└──────────┘             ░  ║ └╥┘\n",
       "c: 2/════════════════════════════════════════════════════╩══╩═\n",
       "                                                         0  1 "
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "d72b378a-a4bc-409c-b3fb-fbedd5a85fdd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "shots = 10000 # number of samples used for statistics\n",
    "sim = Aer.get_backend('qasm_simulator')\n",
    "job = execute(qc, backend = sim, shots = shots)\n",
    "display(plot_histogram(job.result().get_counts()))\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "20df3fa1-b1d6-4645-aa5c-4daf8f196b4b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"word-wrap: normal;white-space: pre;background: #fff0;line-height: 1.1;font-family: &quot;Courier New&quot;,Courier,monospace\">           ░ ┌─┐   \n",
       "q_0: ──■───░─┤M├───\n",
       "     ┌─┴─┐ ░ └╥┘┌─┐\n",
       "q_1: ┤ X ├─░──╫─┤M├\n",
       "     └───┘ ░  ║ └╥┘\n",
       "c: 2/═════════╩══╩═\n",
       "              0  1 </pre>"
      ],
      "text/plain": [
       "           ░ ┌─┐   \n",
       "q_0: ──■───░─┤M├───\n",
       "     ┌─┴─┐ ░ └╥┘┌─┐\n",
       "q_1: ┤ X ├─░──╫─┤M├\n",
       "     └───┘ ░  ║ └╥┘\n",
       "c: 2/═════════╩══╩═\n",
       "              0  1 "
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc1 = QuantumCircuit(2,2)\n",
    "qc1.cnot(0,1)\n",
    "qc1.barrier()\n",
    "qc1.measure(0,0)\n",
    "qc1.measure(1,1)\n",
    "qc1.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "413f38bc-833f-49b6-b837-47f84f5c8e4c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "shots = 10000 # number of samples used for statistics\n",
    "sim = Aer.get_backend('qasm_simulator')\n",
    "job1 = execute(qc1, backend = sim, shots = shots)\n",
    "display(plot_histogram(job1.result().get_counts()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "fcbad0a6-9389-455a-99ab-fb960eb36008",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"word-wrap: normal;white-space: pre;background: #fff0;line-height: 1.1;font-family: &quot;Courier New&quot;,Courier,monospace\">     ┌───┐┌─────────┐┌───────────┐┌──────────┐┌──────────┐ ░ ┌─┐   \n",
       "q_0: ┤ X ├┤ Ry(π/2) ├┤0          ├┤ Rx(-π/2) ├┤ Ry(-π/2) ├─░─┤M├───\n",
       "     └───┘└─────────┘│  Rxx(π/2) │├──────────┤└──────────┘ ░ └╥┘┌─┐\n",
       "q_1: ────────────────┤1          ├┤ Rx(-π/2) ├─────────────░──╫─┤M├\n",
       "                     └───────────┘└──────────┘             ░  ║ └╥┘\n",
       "c: 2/═════════════════════════════════════════════════════════╩══╩═\n",
       "                                                              0  1 </pre>"
      ],
      "text/plain": [
       "     ┌───┐┌─────────┐┌───────────┐┌──────────┐┌──────────┐ ░ ┌─┐   \n",
       "q_0: ┤ X ├┤ Ry(π/2) ├┤0          ├┤ Rx(-π/2) ├┤ Ry(-π/2) ├─░─┤M├───\n",
       "     └───┘└─────────┘│  Rxx(π/2) │├──────────┤└──────────┘ ░ └╥┘┌─┐\n",
       "q_1: ────────────────┤1          ├┤ Rx(-π/2) ├─────────────░──╫─┤M├\n",
       "                     └───────────┘└──────────┘             ░  ║ └╥┘\n",
       "c: 2/═════════════════════════════════════════════════════════╩══╩═\n",
       "                                                              0  1 "
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc2 = QuantumCircuit(2,2)\n",
    "qc2.x(0)\n",
    "qc2.ry(np.pi/2,0)\n",
    "qc2.rxx(np.pi/2,0,1)\n",
    "qc2.rx(-np.pi/2,0)\n",
    "qc2.rx(-np.pi/2,1)\n",
    "qc2.ry(-np.pi/2,0)\n",
    "qc2.barrier()\n",
    "qc2.measure(0,0)\n",
    "qc2.measure(1,1)\n",
    "qc2.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "ec35fd33-33c6-431b-bb71-fd2bf0aa23bd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAc0AAAE6CAYAAAB00gm8AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAAAaMElEQVR4nO3de5RdZZnn8e8DISKT4CUYqEqBEMKgJM0IHhzQAmNjBsUedKCXSHtJGoEJOmRoFt3SS0YbtYFWRFAbGaJL8Ia0ojI9JFzEDnFBDFbSHUGcJGsItISiYhTM0ECA+Mwf+1Q8HE6l3kPqckx9P2udlbPf9937PJu1yC/79u7ITCRJ0vB2G+8CJEn6Q2FoSpJUyNCUJKmQoSlJUiFDU5KkQoamJEmFJo13AeNpn332yQMPPHC8y5AkdZBVq1ZtzsxXteqb0KF54IEH0tfXN95lSJI6SEQ8NFSfp2clSSpkaEqSVMjQlCSpkKEpSVIhQ1OSpEKGpiRJhQxNSZIKGZqSJBUyNCVJKmRoSpJUyNCUJKmQoSlJUiFDU5KkQoamJEmFDE1JkgoZmpIkFTI0JUkqZGhKklTI0JQkqZChKUlSIUNTkqRChqYkSYUMTWkXc/rppzN9+nTmzJnTsj8zWbRoEbNmzeLwww9n9erV2/tuueUWDj30UGbNmsWll166vf03v/kN8+bN45BDDmHevHk89thjo74fUicyNKVdzIIFC7jllluG7F+6dCnr169n/fr1XHPNNZx99tkAbNu2jQ9/+MMsXbqU+++/n+uvv577778fgEsvvZTjjz+e9evXc/zxxz8vUKWJxNCUdjHHHXccr3zlK4fsv+mmm/jABz5ARHD00Ufz+OOP09/fzz333MOsWbOYOXMmkydP5j3veQ833XTT9nXmz58PwPz58/nBD34wFrsidRxDU5pgNm7cyP777799uaenh40bNw7ZDjAwMEBXVxcAXV1dbNq0aWyLljqEoSlNMJn5graIGLJd0u8ZmtIE09PTwy9/+cvtyw8//DDd3d1DtgPsu+++9Pf3A9Df38/06dPHtmipQxia0gRz0kkn8bWvfY3M5Cc/+Qkve9nL6Orq4qijjmL9+vVs2LCBZ555hm9/+9ucdNJJ29e57rrrALjuuut45zvfOZ67II2bSeNdgKSRddppp7Fs2TI2b95MT08PF110Ec8++ywACxcu5MQTT2TJkiXMmjWLvfbai69+9asATJo0iS9+8YuccMIJbNu2jdNPP53Zs2cDcMEFF/Dud7+br3zlKxxwwAF85zvfGbf9k8ZTtLqOMVHUarXs6+sb7zIkSR0kIlZlZq1Vn6dnJUkqZGhKklTI0JQkqZChKUlSIUNTkqRChqYkSYUMTUmSChmakiQVGtPQjIjjIuJ/RcTGiMiIWFCwzh9FxJ0R8VR9vY9F0yzSEfHmiFgVEU9HxAMRsXDUdkKSNGGN9ZHmFOA+4L8DTw03OCL2Bm4HBoCjgEXAXwLnNYw5CFgC3A0cAVwCfCEiThnp4iVJE9uYzj2bmUuoAo6IuLZglfcCewHzM/Mp4L6IeC1wXkRcntUcgAuBRzLznPo6v4iI/wicD9w40vsgSZq4Ov2a5jHAj+uBOehWoBs4sGHMbU3r3QrUImKPUa9QkjRhdPpbTvYDHm5qG2jo21D/84ctxkwC9gH6Gzsi4izgLIDu7m6WLVsGwMyZM5k6dSpr1qwBYNq0acyePZvly5cD1Rsgent7Wb16NVu2bAGgVqsxMDDApf948M7vqSRpp3zi1H7Wrl0LwIwZM+jp6WHlypUATJkyhVqtxooVK9i6dSsAvb29rFu3jk2bNgEwZ86c7X1D6fTQBGh+DUu0aC8ZUzVkXgNcA9VbTubOnfu8/uGWjzzyyOctT5kypWXRkqSx1dXVRVdX1/Pamv8OP+aYY563fNhhh3HYYYcV/0ann559lOpIstHgK+MHhhnzHPDr0StNkjTRdHporgCOjYg9G9rmAY8ADzaMeWvTevOAvsx8dtQrlCRNGGP9nOaUiHhdRLyu/tsH1JcPqPdfEhF3NKzyLeBJ4NqImBMRJwMXAIN3zgJcDfRExBUR8dqIOANYAFw2RrslSZogxvpIswb8c/3zUuCi+vdP1Pu7gO131WTmb6mOGruBPuDvgc8ClzeM2QCcCBwH/AvwUWBRZvq4iSRpRI31c5rL+P1NOq36F7Rou5cqEHe03TuBI3c0RpKkndXp1zQlSeoYhqYkSYUMTUmSChmakiQVMjQlSSpkaEqSVMjQlCSpkKEpSVIhQ1OSpEKGpiRJhQxNSZIKGZqSJBUyNCVJKmRoSpJUyNCUJKmQoSlJUiFDU5KkQoamJEmFDE1JkgoZmpIkFTI0JUkqZGhKklTI0JQkqZChKUlSIUNTkqRChqYkSYUMTUmSChmakiQVMjQlSSpkaEqSVMjQlCSpkKEpSVIhQ1OSpEKGpiRJhQxNSZIKGZqSJBUyNCVJKmRoSpJUyNCUJKmQoSlJUiFDU5KkQoamJEmFDE1JkgoZmpIkFWorNCNit4jYrWF5v4g4IyLeNPKlSZLUWdo90rwZOAcgIqYAfcBngGUR8YERrk2SpI7Sbmi+HvhR/fvJwBZgOnAmcH7JBiLiQxGxISKejohVEXHsDsb+TUTkEJ/p9TFzh+h/TZv7JknSDrUbmlOBx+vf/xPw/cx8lipIDx5u5Yg4FbgSuBg4ArgbWBoRBwyxymVAV9PnTmBZZm5qGju7adz64r2SJKlAu6H5r8CbIuLfAScAt9fbXwk8WbD+ecC1mbk4M3+RmecA/cDZrQZn5hOZ+ejgB9gDOBZY3GL4psaxmbmtzX2TJGmHJrU5/nLg68ATwEPA8nr7ccC9O1oxIiZTnd69rKnrNuCNhb//Qaoj3Rtb9PVFxEuA+4FPZeY/DVHHWcBZAN3d3SxbtgyAmTNnMnXqVNasWQPAtGnTmD17NsuXV7s4adIkent7Wb16NVu2bAGgVqsxMDBAwUG2JGmU9ff3s3btWgBmzJhBT08PK1euBGDKlCnUajVWrFjB1q1bAejt7WXdunVs2lSduJwzZ872vqFEZrZVVETUgP2B2zPziXrbO4DHM/OuHazXDWwE3pyZyxvaPwa8NzMPHeZ3dwMeBG7MzL9oaD8UeAvwU2Ay8H5gITC38XdaqdVq2dfXt6MhRc68Yqc3IUnaSYvPHZntRMSqzKy16mv3SJPM7KO6a7ax7eZ2NtG0HC3aWnk7VVh/uem31wJrG5pWRMSBVDcm7TA0JUlqR9uTG9Tvfv15RDwZETPrbR+JiHcPs+pmYBuwX1P7dGCg4KfPAu7OzJ8XjF0JHFIwTpKkYu1ObnAucCFwDdUR4qBHgP+2o3Uz8xlgFTCvqWse1V20O/rdbuAdtL4BqJXXUd1gJEnSiGn39OxC4MzMvDkiPtXQvprqkY/hXA58PSLuAe6qb68buBogIi4B3pCZxzetdzrwb8A/NG+wHuQPAj+nuqb5PuBdwCmlOyVJUol2Q/PVwH0t2p8FXjrcypl5Q0RMozpa7apv68TMfKg+pIumW1EjIqjumv1mZrZ6rGUy1R25M4CnqMLzHZm5pGiPJEkq1G5oPgAcSfW4SaMTqR71GFZmXgVcNUTfghZtCRy0g+19Gvh0yW9LkrQz2g3Ny4AvRsReVNc0j4mI9wN/RXUKVZKkXVZboZmZX42ISVTT4O1FNdHBRmBRZt4wCvVJktQxXsxzmouBxRGxD7BbizlgJUnaJbUdmoMyc/NIFiJJUqcbNjQj4mdUU989FhH3soPZezLz8JEsTpKkTlJypHkjsLXhe3uT1UqStIsYNjQz86KG738zqtVIktTB2p1G70cR8fIW7XtHxI9GrCpJkjpQuxO2z6WagafZnlQvh5YkaZdVdPdsRBzZsHh4RPymYXl34ASq5zUlSdpllT5y0kd1A1ACt7Xofwo4Z6SKkiSpE5WG5kFU0+Y9ALwB+FVD3zPApszcNsK1SZLUUYpCs+EtJG2/tFqSpF1FyeQGJwP/mJnP1r8PKTO/N2KVSZLUYUqONL8L7Adsqn8fSlLdFCRJ0i6pZHKD3Vp9lyRpojEEJUkqVHpNs4jXNCVJu7LSa5olvKYpSdqltXVNU5KkicxAlCSpkM9pSpJUyOc0JUkq5HOakiQVMgQlSSrUdmhGxJER8bWI6Kt/vt70vk1JknZJbYVmRLwX+CnQBSypf/YF7omI9418eZIkdY7S92kO+lvgf2TmxY2NEfHXwKeAb4xUYZIkdZp2T8++CviHFu3fAabvfDmSJHWudkPzn4C5LdrnAnfubDGSJHWydidsXwpcEhE14Cf1tqOBk4G/GfHqJEnqIC92wvaz6p9GXwCu2umKJEnqUE7YLklSIQNRkqRC7T5yQkS8EngbcAAwubEvMz8xQnVJktRx2grNiDgauBnYSvX4yUaqiQ62Ag8ChqYkaZfV7unZzwDfBGYATwN/THXE2Qf83ciWJklSZ2k3NA8HvpiZCWwDXpKZA8BH8JETSdIurt3QfKbh+wDw6vr3J4DuEalIkqQO1e6NQKuBo4B1wDLgUxGxL/A+4GcjW5okSZ2l3SPNjwKP1L9fCPyKalKDV/DCyQ4kSdqltHWkmZl9Dd9/Bbx9xCuSJKlDtf2cJkBEHAy8tr54f2Y+MHIlSZLUmdp9TnMa8BXgJOB3v2+O/w2cnpm/HuH6JEnqGO1e0/wyMAs4Ftiz/jkOOAhYPLKlSZLUWdoNzROAMzPzrsx8rv65C/iv9b5hRcSHImJDRDwdEasi4tgdjD0wIrLF521N495c39bTEfFARCxsc78kSRpWu6H5K+DfWrQ/CQx7ajYiTgWuBC4GjgDuBpZGxAHDrPo2qun6Bj8/atjmQcCS+raOAC4BvhARpwxXjyRJ7Wg3ND8BXBERMwYb6t8/S9m8s+cB12bm4sz8RWaeA/QDZw+z3q8z89GGT+MkCwuBRzLznPo2FwPXAee3s2OSJA1n2BuBIuJeIBuaDgIejIiN9eXBeWinU13zHGo7k4HXA5c1dd0GvHGYMr4XEXsC64HPZWbji7GPqW+j0a3A/IjYIzOfHWbbkiQVKbl79rvDDymyD7A71fR7jQaAtw6xzhNUR4x3Ac9R3bV7Q0TMz8xv1MfsB/ywxTYn1X+zv7EjIs6iPhFDd3c3y5YtA2DmzJlMnTqVNWvWADBt2jRmz57N8uXLAZg0aRK9vb2sXr2aLVu2AFCr1RgYGAAOLvxPIEkaLf39/axduxaAGTNm0NPTw8qVKwGYMmUKtVqNFStWsHXrVgB6e3tZt24dmzZtAmDOnDnb+4YS1dzroy8iuqleJXZcZv64of3jwGmZ+ZrC7VwF9Gbm4fXldcDXM/OTDWPeTDXNX1dmPjrUtmq1Wvb19Q3VXezMK3Z6E5KknbT43JHZTkSsysxaq74XO7nBHwOHUZ22/XlmLitYbTPVm1H2a2qfzguPPndkJfDnDcuPDrHN5yi4OUmSpFLtTm4wA/g+1bXJwTlouyOiD/gvmfnIUOtm5jMRsQqYB3ynoWsecGMbZbyO559yXQG8q2nMPKDP65mSpJHU7t2zn6c6WpyVmftn5v7AIfW2zxesfzmwICLOiIjXRsSVVK8UuxogIi6JiDsGB0fE/Ij4s/rYQyPifODDVJPED7oa6ImIK+rjzgAW8MIbjiRJ2intnp6dB8zNzA2DDZn5QEQsAu4YerXtY2+oT8V3IdXzlvcBJ2bmQ/UhXbzwrpoLqd7buY3qlWSnN9wERGZuiIgTgc9RPbryCLAoM9s5epUkaVgv6ppmC78bfkglM68Crhqib0HT8nVUz1wOt807gSNLa5Ak6cVo9/TsHcDnI2L/wYb6bD5XUnCkKUnSH7J2Q3MRsBfwQEQ8FBEPAv+33rZohGuTJKmjtHt69tfAG4C3AK8Bgup9ms2TC0iStMspDs2I2B34LfAfMvN24PZRq0qSpA5UfHo2M7cBDwGTR68cSZI6V7vXND8JXBoR+4xGMZIkdbJ2r2meT/WWk40R8TBN79YcnA9WkqRdUbuh+V2q+WZjFGqRJKmjFYVmROwFfIZqjtc9qJ7JPCczN49eaZIkdZbSa5oXUc3nejNwPdX7L780SjVJktSRSk/Pngx8MDO/DRAR3wTuiojd63fVSpK0yys90twf2P7i6My8h+p9ld2jUZQkSZ2oNDR3B55panuOkZvwXZKkjlcaegF8IyK2NrTtCSyOiCcHGzLzpJEsTpKkTlIamq1ez/WNFm2SJO2yikIzM/98tAuRJKnTtTuNniRJE5ahKUlSIUNTkqRChqYkSYUMTUmSChmakiQVMjQlSSpkaEqSVMjQlCSpkKEpSVIhQ1OSpEKGpiRJhQxNSZIKGZqSJBUyNCVJKmRoSpJUyNCUJKmQoSlJUiFDU5KkQoamJEmFDE1JkgoZmpIkFTI0JUkqZGhKklTI0JQkqZChKUlSIUNTkqRChqYkSYUMTUmSChmakiQVGvPQjIgPRcSGiHg6IlZFxLE7GDs3Im6KiP6IeDIifhYRp7cYky0+rxn9vZEkTSRjGpoRcSpwJXAxcARwN7A0Ig4YYpU3AvcCfwrMAb4EXBMRf9Zi7Gygq+GzfmSrlyRNdJPG+PfOA67NzMX15XMi4m3A2cBfNw/OzIubmr4UEW8BTgG+1dS3KTM3j3TBkiQNGrMjzYiYDLweuK2p6zaqI8pSewOPtWjvq5/GvaMerJIkjaixPNLcB9gdGGhqHwDeWrKBiPgT4HjgTQ3N/VRHqj8FJgPvB+6IiLmZubzFNs4CzgLo7u5m2bJlAMycOZOpU6eyZs0aAKZNm8bs2bNZvrzaxKRJk+jt7WX16tVs2bIFgFqtxsDAAHBwSfmSpFHU39/P2rVrAZgxYwY9PT2sXLkSgClTplCr1VixYgVbt24FoLe3l3Xr1rFp0yYA5syZs71vKJGZo7gLDT8U0Q1sBI7LzB83tH8cOC0zd3jjTkS8CVgKfCQzvzTM2CXAc5l50o7G1Wq17OvrK92FIZ15xU5vQpK0kxafOzLbiYhVmVlr1TeWNwJtBrYB+zW1T+eFR5/PExG9VIH5seECs24lcMiLKVKSpKGMWWhm5jPAKmBeU9c8qrtoW4qI46gC86LMvKLw515HddpWkqQRM9Z3z14OfD0i7gHuAhYC3cDVABFxCfCGzDy+vjwXuBm4CvhmRAwepW7LzF/Vx5wLPAj8nOqa5vuAd1HdYStJ0ogZ09DMzBsiYhpwIdWzlPcBJ2bmQ/UhXTz/rpoFwF7A+fXPoIeAA+vfJwOXATOAp6jC8x2ZuWR09kKSNFGN9ZEmmXkV1ZFjq74FLZYXtBrbMObTwKdHpjpJkobm3LOSJBUyNCVJKmRoSpJUyNCUJKmQoSlJUiFDU5KkQoamJEmFDE1JkgoZmpIkFTI0JUkqZGhKklTI0JQkqZChKUlSIUNTkqRChqYkSYUMTUmSChmakiQVMjQlSSpkaEqSVMjQlCSpkKEpSVIhQ1OSpEKGpiRJhQxNSZIKGZqSJBUyNCVJKmRoSpJUyNCUJKmQoSlJUiFDU5KkQoamJEmFDE1JkgoZmpIkFTI0JUkqZGhKklTI0JQkqZChKUlSIUNTkqRChqYkSYUMTUmSChmakiQVMjQlSSpkaEqSVMjQlCSpkKEpSVIhQ1OSpEJjHpoR8aGI2BART0fEqog4dpjxfxQRd0bEUxGxMSI+FhHRNObN9W09HREPRMTC0d0LSdJENKahGRGnAlcCFwNHAHcDSyPigCHG7w3cDgwARwGLgL8EzmsYcxCwpL6tI4BLgC9ExCmjtyeSpIlorI80zwOuzczFmfmLzDwH6AfOHmL8e4G9gPmZeV9m3gj8HXBew9HmQuCRzDynvs3FwHXA+aO7K5KkiWbSWP1QREwGXg9c1tR1G/DGIVY7BvhxZj7V0HYr8EngQGBDfcxtTevdCsyPiD0y89mmOs4CzqovPhERa9vcFWlXtQ+webyLkF6sL//FiG3q1UN1jFloUv0PuTvVqdZGA8Bbh1hnP+DhFuMH+zbU//xhizGT6r/Z39iRmdcA17RTuDQRRERfZtbGuw6pk43H3bPZtBwt2oYb39xeMkaSpJ0ylqG5GdhGdWTYaDovPPoc9OgQ42lYZ6gxzwG/flGVSpLUwpiFZmY+A6wC5jV1zaO687WVFcCxEbFn0/hHgAcbxjSf3p0H9DVfz5S0Q162kIYx1qdnLwcWRMQZEfHaiLgS6AauBoiISyLijobx3wKeBK6NiDkRcTJwAXB5Zg6eer0a6ImIK+rbPANYwAtvOJK0A/Xr/ZJ2YCxvBCIzb4iIacCFQBdwH3BiZj5UH9IFHNww/rcRMQ/4e6APeAz4LFX4Do7ZEBEnAp+jenTlEWBR/fEUSZJGTPz+gE2SJO2Ic89KklTI0JQkqZChKUlSIUNTkqRChqYkSYUMTWkCiog9IuLfR8RLxrsW6Q+JoSlNTB8G/hm4OiL+c0TsFxG7Nw6IiL0j4u0Rscf4lCh1Hp/TlCagiFgBPE01wckbgX8Fvg98D7i3PrHIQmBBZh49fpVKncUjTWmCiYhXAc8CizPzWKp3B34F+BNgOfCjiPgIcC6wcrzqlDqRR5rSBBMRXcB7gPsz89amviOAM+r9rwD2z8yNY1+l1JkMTWkCioiXApmZT0fE4PtnGXwRQkT8LdW80EeMV41SJxrTCdsldYbMfGowLLPpX84RsRdwCvDV8ahN6mQeaUoTSETsDfy/5qBsGrMncCpwff09uJLqDE1pAomI/wncU/88lJlbWox5eWY+Pta1SX8IDE1pgoiI04BvAluA3wC3A7cAPwMeqZ+yfSnwbeCjmXnfuBUrdShDU5ogImIxsA34NHAyMJ/qpe9rgSXAHcChwJWZOXm86pQ6maEpTQARMQn4K2DvzLygoX02cCbwp8CewMuB6zLzg+NRp9TpDE1pgoiIVwD7Zub/iYjJwLONNwRFxKnA9cCRmfkv41Sm1NF85ESaIDLzMeCx+vdnACJiN6p/PG8D9gaeNjCloRma0gSWmb9rWJwKfHy8apH+EHh6VhJQvS4M2NYUpJIaGJqSJBXyLSeSJBUyNCVJKmRoSpJUyNCUJKmQoSlJUiFDU5KkQv8fOvMG1u5GyCsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "job2 = execute(qc2, backend = sim, shots = shots)\n",
    "display(plot_histogram(job2.result().get_counts()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "224eaf89-53f3-4fcc-bd97-406f74ab1241",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"word-wrap: normal;white-space: pre;background: #fff0;line-height: 1.1;font-family: &quot;Courier New&quot;,Courier,monospace\">     ┌───┐      ░ ┌─┐   \n",
       "q_0: ┤ X ├──■───░─┤M├───\n",
       "     └───┘┌─┴─┐ ░ └╥┘┌─┐\n",
       "q_1: ─────┤ X ├─░──╫─┤M├\n",
       "          └───┘ ░  ║ └╥┘\n",
       "c: 2/══════════════╩══╩═\n",
       "                   0  1 </pre>"
      ],
      "text/plain": [
       "     ┌───┐      ░ ┌─┐   \n",
       "q_0: ┤ X ├──■───░─┤M├───\n",
       "     └───┘┌─┴─┐ ░ └╥┘┌─┐\n",
       "q_1: ─────┤ X ├─░──╫─┤M├\n",
       "          └───┘ ░  ║ └╥┘\n",
       "c: 2/══════════════╩══╩═\n",
       "                   0  1 "
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc3 = QuantumCircuit(2,2)\n",
    "qc3.x(0)\n",
    "qc3.cnot(0,1)\n",
    "qc3.barrier()\n",
    "qc3.measure(0,0)\n",
    "qc3.measure(1,1)\n",
    "qc3.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "f5e394c5-49d4-49e0-a066-e94c3a82f832",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"word-wrap: normal;white-space: pre;background: #fff0;line-height: 1.1;font-family: &quot;Courier New&quot;,Courier,monospace\">     ┌─────────┐┌───────────┐┌──────────┐┌──────────┐\n",
       "q_0: ┤ Ry(π/2) ├┤0          ├┤ Rx(-π/2) ├┤ Ry(-π/2) ├\n",
       "     └─────────┘│  Rxx(π/2) │├──────────┤└──────────┘\n",
       "q_1: ───────────┤1          ├┤ Rx(-π/2) ├────────────\n",
       "                └───────────┘└──────────┘            \n",
       "c: 2/════════════════════════════════════════════════\n",
       "                                                     </pre>"
      ],
      "text/plain": [
       "     ┌─────────┐┌───────────┐┌──────────┐┌──────────┐\n",
       "q_0: ┤ Ry(π/2) ├┤0          ├┤ Rx(-π/2) ├┤ Ry(-π/2) ├\n",
       "     └─────────┘│  Rxx(π/2) │├──────────┤└──────────┘\n",
       "q_1: ───────────┤1          ├┤ Rx(-π/2) ├────────────\n",
       "                └───────────┘└──────────┘            \n",
       "c: 2/════════════════════════════════════════════════\n",
       "                                                     "
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc4 = QuantumCircuit(2,2)\n",
    "qc4.ry(np.pi/2,0)\n",
    "qc4.rxx(np.pi/2,0,1)\n",
    "qc4.rx(-np.pi/2,0)\n",
    "qc4.rx(-np.pi/2,1)\n",
    "qc4.ry(-np.pi/2,0)\n",
    "qc4.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "9425503a-56b3-4237-86e8-2203dbf76db0",
   "metadata": {},
   "outputs": [],
   "source": [
    "mat = qi.Operator(qc4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "8827b2cd-6598-4890-97ff-af9b6bad7398",
   "metadata": {},
   "outputs": [],
   "source": [
    "mat = np.array(mat)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "af39b022-c478-428d-b02e-f30dfc4aa3cc",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 7.07106781e-01+7.07106781e-01j,  5.55111512e-17+1.11022302e-16j,\n",
       "        6.16297582e-33+6.16297582e-33j, -7.85046229e-17-7.85046229e-17j])"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mat[:,0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "dc505211-06a6-435c-9a53-8e4ef6d213af",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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