trotter-suzuki-n-steps.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "# Trotter-Suzuki"
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "source": [
    "from qiskit import QuantumCircuit, QuantumRegister, ClassicalRegister, transpile, IBMQ, Aer\r\n",
    "from qiskit.circuit import Parameter\r\n",
    "from qiskit.test.mock import FakeVigo, FakeMelbourne, FakeTokyo\r\n",
    "from qiskit.visualization import plot_circuit_layout, plot_gate_map, plot_histogram, plot_state_paulivec, plot_bloch_multivector\r\n",
    "from qiskit.providers.models import BackendConfiguration"
   ],
   "outputs": [],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "source": [
    "#import qiskit\r\n",
    "#qiskit.__qiskit_version__"
   ],
   "outputs": [
    {
     "output_type": "stream",
     "name": "stderr",
     "text": [
      "C:\\Users\\Melissa\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\qiskit\\aqua\\__init__.py:86: DeprecationWarning: The package qiskit.aqua is deprecated. It was moved/refactored to qiskit-terra For more information see <https://github.com/Qiskit/qiskit-aqua/blob/main/README.md#migration-guide>\n",
      "  warn_package('aqua', 'qiskit-terra')\n"
     ]
    },
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": [
       "{'qiskit-terra': '0.18.1', 'qiskit-aer': '0.8.2', 'qiskit-ignis': '0.6.0', 'qiskit-ibmq-provider': '0.16.0', 'qiskit-aqua': '0.9.4', 'qiskit': '0.29.0', 'qiskit-nature': None, 'qiskit-finance': None, 'qiskit-optimization': None, 'qiskit-machine-learning': None}"
      ]
     },
     "metadata": {},
     "execution_count": 6
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Circuito base\r\n",
    "En la siguiente función, definiendo el valor de $n$, generamos un circuito parametrizado de Trotter-Suzuki."
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "source": [
    "def trotter_suzuki(n):\r\n",
    "    qr = QuantumRegister(2)\r\n",
    "    cr = ClassicalRegister(2)\r\n",
    "    qc = QuantumCircuit(qr,cr)\r\n",
    "    parameter_theta = Parameter('θ')\r\n",
    "    parameter_phi = Parameter('ϕ')\r\n",
    "    for i in range(n):\r\n",
    "        qc.rz(parameter_theta, qubit=0)\r\n",
    "        qc.rz(parameter_theta, qubit=1)\r\n",
    "        qc.rxx(parameter_phi,qubit1=0,qubit2=1)\r\n",
    "    return qc"
   ],
   "outputs": [],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "source": [
    "n = 4\r\n",
    "ts1 = trotter_suzuki(n)\r\n",
    "ts1.draw('mpl')"
   ],
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 581.033x204.68 with 1 Axes>"
      ]
     },
     "metadata": {},
     "execution_count": 3
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "source": [
    "print(ts1.parameters)"
   ],
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "ParameterView([Parameter(θ), Parameter(ϕ)])\n"
     ]
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Posible optimización\r\n",
    "Transpilando el circuito de tres compuertas de arriba hacia compuertas para ejecutarlo con las compuertas base de un computador cuántico, simulamos con los mock backends de IBM."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "### ibmq_vigo\r\n",
    "En el caso de IBMQ Vigo, con la siguiente mapa de qubits, el transpilador no encuentra optimizaciones en el circuito más allá de la primera transpilación, sin embargo, podría funcionar la combinación manual de las dos primeras compuertas $R_Z(\\theta)$ y $R_Z(\\frac{\\pi}{2})$ en una sola $R_Z(\\theta+\\frac{\\pi}{2})$, reduciendo en 2 compuertas por cada $n$."
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "source": [
    "def show_gates(backend):\r\n",
    "    config = backend.configuration()\r\n",
    "    print(\"Las compuertas de {0} son {1}.\".format(config.backend_name, config.basis_gates))"
   ],
   "outputs": [],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "source": [
    "vigo = FakeVigo()\r\n",
    "plot_gate_map(vigo)"
   ],
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "execution_count": 6
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "source": [
    "show_gates(vigo)"
   ],
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "Las compuertas de fake_vigo son ['id', 'rz', 'sx', 'x', 'cx'].\n"
     ]
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "#### Sin optimización del transpilador"
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "source": [
    "transpiled = transpile(ts1, backend=vigo, optimization_level=0)\r\n",
    "plot_circuit_layout(transpiled, vigo)\r\n",
    "transpiled.draw(output='mpl')"
   ],
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1684.33x806.68 with 1 Axes>"
      ]
     },
     "metadata": {},
     "execution_count": 8
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "#### Con optimización nivel 3 del transpilador"
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "source": [
    "transpiled_opt = transpile(ts1, backend=vigo, optimization_level=3)\r\n",
    "plot_circuit_layout(transpiled_opt, vigo)\r\n",
    "transpiled.draw(output='mpl')"
   ],
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1684.33x806.68 with 1 Axes>"
      ]
     },
     "metadata": {},
     "execution_count": 9
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "### ibmq_tokyo\r\n",
    "IBMQ Tokyo tiene 20 qubits, y en este caso el mapa de qubits y las compuertas base son diferentes, teniendo que este computador funciona en base a compuertas de rotación $U$, aplicando las rotaciones directamente a cada eje. Ojo, que el Tokyo real fue dado de baja y es posible que FakeTokyo sea removido de Qiskit algún día."
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "source": [
    "tokyo = FakeTokyo()\r\n",
    "plot_gate_map(tokyo)"
   ],
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 360x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "execution_count": 10
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "source": [
    "show_gates(tokyo)"
   ],
   "outputs": [
    {
     "output_type": "stream",
     "name": "stdout",
     "text": [
      "Las compuertas de fake_tokyo son ['u1', 'u2', 'u3', 'cx', 'id'].\n"
     ]
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "source": [
    "transpiled = transpile(ts1, backend=tokyo, optimization_level=0)\r\n",
    "plot_circuit_layout(transpiled, tokyo)\r\n",
    "transpiled.draw(output='mpl')"
   ],
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1650.38x1288.28 with 1 Axes>"
      ]
     },
     "metadata": {},
     "execution_count": 12
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "## Asignación de parámetros y medición"
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "### Importante\r\n",
    "Tener en consideración que, para Qiskit, las compuertas que estamos usando son así:\r\n",
    "#### RXX\r\n",
    "\r\n",
    "$$\r\n",
    "        R_{XX}(\\theta) = exp(-i \\frac{\\theta}{2} X{\\otimes}X) =\r\n",
    "            \\begin{pmatrix}\r\n",
    "                \\cos(\\frac{\\theta}{2})   & 0           & 0           & -i\\sin(\\frac{\\theta}{2}) \\\\\r\n",
    "                0           & \\cos(\\frac{\\theta}{2})   & -i\\sin(\\frac{\\theta}{2}) & 0 \\\\\r\n",
    "                0           & -i\\sin(\\frac{\\theta}{2}) & \\cos(\\frac{\\theta}{2})   & 0 \\\\\r\n",
    "                -i\\sin(\\frac{\\theta}{2}) & 0           & 0           & \\cos(\\frac{\\theta}{2})\r\n",
    "            \\end{pmatrix}\r\n",
    "$$\r\n",
    "Fuente: <https://qiskit.org/documentation/stubs/qiskit.circuit.library.RXXGate.html>\r\n",
    "\r\n",
    "#### RZ\r\n",
    "$$\r\n",
    "RZ(\\lambda) = exp(-i\\frac{\\lambda}{2}Z) =\r\n",
    "            \\begin{pmatrix}\r\n",
    "                e^{-i\\frac{\\lambda}{2}} & 0 \\\\\r\n",
    "                0 & e^{i\\frac{\\lambda}{2}}\r\n",
    "            \\end{pmatrix}\r\n",
    "$$\r\n",
    "Fuente: <https://qiskit.org/documentation/stubs/qiskit.circuit.library.RZGate.html>"
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "source": [
    "#param_dict = {Parameter('θ'): 3.1416/4, Parameter('ϕ'):0.1}\r\n",
    "def bound_trotter_suzuki(parameterized_trotter_suzuki, theta, phi):\r\n",
    "    parameters = {theta, phi}\r\n",
    "    bound_circuit = parameterized_trotter_suzuki.bind_parameters(parameters)\r\n",
    "    return bound_circuit"
   ],
   "outputs": [],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "source": [
    "bound_circuit = bound_trotter_suzuki(ts1, 1, 10)\r\n",
    "bound_circuit.draw('mpl')"
   ],
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 581.033x204.68 with 1 Axes>"
      ]
     },
     "metadata": {},
     "execution_count": 14
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "source": [
    "from qiskit.tools.visualization import plot_state_city\r\n",
    "simulator = Aer.get_backend('statevector_simulator')\r\n",
    "result = simulator.run(bound_circuit).result()\r\n",
    "statevector = result.get_statevector(bound_circuit)\r\n",
    "plot_state_city(statevector)"
   ],
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1080x360 with 2 Axes>"
      ]
     },
     "metadata": {},
     "execution_count": 15
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "source": [
    "backend = Aer.get_backend('statevector_simulator')\r\n",
    "result = backend.run(transpile(bound_circuit, backend)).result()\r\n",
    "psi  = result.get_statevector(bound_circuit)"
   ],
   "outputs": [],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "source": [
    "plot_state_paulivec(psi)"
   ],
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "image/png": 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eOz33raPBU0REpEkaPKWy7u7u6ITKcm6HvPtzbs+dnvvWafR9nj3Ah4HnUrzXc6dB190f0fo0Sd3ixfmeXCrndsi7P+f23Om5b51Gtzy/CPwlcClwGvD2ug+ZgtauXRudUFnO7ZB3f87tudNz3zqNniThucDx7r6ynTGSl6GhIRYsWBCdUUnO7ZB3f87tudNz3zqNbnn+ARhuZ4iIiEguGt3yPBM4x8xe5+4aRCep5q5rCLq2oUgs/czGaXTwPAuYB/zBzG4Httfe6e5Pa3GXSFstWbIkOmFCcu7PuV1kRKOD55VtrRDpsOHhYWbMmBGdUVnO/Tm3i4xo9MTwH2h3iEgnrVmzhqVLl0ZnVJZzf87tIiMa3fIEwMyOBZ4COLDG3X/UjigREZGUNXqShMcA3wQOBe4sF881s+uBF7n7nWN+soiIyCTT6FtVPgs8CDzB3R/r7o8F5pfLPtuuOJF2mT9/fnTChOTcn3O7yIhGd9seDxzt7jsmObv7rWb2DuCatpSJtNGcOXOiEyYk5/6c20VGNHNieG9wmUjy+vv7oxMmJOf+nNtFRjQ6eF4DfM7MHjuywMx6gc/Q5i1PM3uLmd1mZlvM7AYzO3I36x9VrrfFzG41s1Pa2SciIlNPo4PnO4B9gFvN7PbyRAm3lMve0a44M3sFcB7wEaAPuA74bjlwj7b+QcB3yvX6gI9SDPovaVejiIhMPY2+z/MOM1sMHAc8qVx8k7v/oG1lhdOBS939C+Xtt5vZ84FTgfeOsv4pwJ3uPnKll5vMbAnw98A32twqGenp6YlOmJCc+3NuFxnR8Ps83d2Bq8uPtjOzLoq3xnyy7q7vA0eM8WnPKu+vdRXwOjOb7u7bR/kcmYIWLVoUnTAhOffn3C4ywooxcZQ7zE4Hznf3LeXfx+Tu57Y8zGwu8HvgKHfvr1n+PuDv3P2Jo3zOWuAr7n5OzbKlwLXAXHcfrFt/GbCsvHloqx+DiIhk7wZ3P6x+4Xhbnm8HvgRsYfwLXjvQ8sGzE9z9IuAigL6+Pl++fHnHG/r7+7M9VVlq7c1fYaJx7b66RDvbob39Obc3K7Xv+Wbl3B/VPtZhhjEHT3c/aLS/d9DdFCdhOKBu+QHA0BifMzTG+g+U/56IiMiENTTb1sxea2a7XAbBzLrM7LWtzwJ33wbcQHGChlrHU8ymHc3Pxlj/eh3vFBGRVmn0rSqXAPuOsnxWeV+7nAucbGZvMrMnm9l5wFzgAgAzu8zMLqtZ/wLgMWb2mXL9NwEns+uko2TkugsF8m4XqSL37/mc+1Nrb3TwNEY/m1AvcG/rcnbm7l8DTqO4GPcvgecAL3D322u+fm/N+rcBLwCWluufCbzD3ZN9m8rg4ODuV0pUzu0iVeT+PZ9zf2rt475Vxcz+l2LQdOBaM3ug5u5pwOMoTkrQNu5+PnD+GPcdPcqya4HF7WxqpXXr1mV7rs+c20WqyP17Puf+1Np39z7PK8s/FwH/AwzX3LcNWI9OPiAiIlPMuIOnu38AwMzWA19z9y2diBIREUlZo6fn+1K7Q6aqhQsXRidUlnO7SBW5f8/n3J9ae6NvVekysw+Y2dryaiUP1n60O3Iy6+7ujk6oLOd2kSpy/57PuT+19kZn234QeB3wKeAh4N3A54F7gLe0J21qWLlyZXRCZTm3i1SR+/d8zv2ptTd6YviXA6e4+/fM7JPAf7v7LWZ2E8VJCC5sW6HIFNDsKehSOs1azu0iVTW65XkAcGP592HgkeXfvwec0OImERGRpDU6eG6gOLMPwM3A88q/Pwu4v9VRU8ns2bOjEyrLuT13OT/3ao+Tc39q7Y0Ont8Enlv+/TzgA2Z2G3ApcHEbuqaMBQsWRCdUlnN77nJ+7tUeJ+f+1NobGjzd/b3u/uHy71dSnCbvc8CL3f3MNvZNegMDA9EJleXcnrucn3u1x8m5P7X2hiYMlReUvs7dHwBw95XASjPb08yW1l6sWpozPDy8+5USlXN77nJ+7tUeJ+f+1Nob3W37Q2C0K4LuW94nIiIyZUz0qir7Afe1Lmfq6erqik6oLOf23OX83Ks9Ts79qbWb+2hjYnmn2bfKv74Q+AGwtebuaRQnjL/J3Z/ftsIO6evr8+XLl0dnyASc8aVHte3fbva9jCIyOfT09Nzg7ofVL9/dluc95YcBf6q5fQ/wO4qLT7+mtalTy/r166MTKsu5PXc5P/dqj5Nzf2rtu7uqyuthx1VVPuHumzsRNZVs2LCBefPmRWdUknN77nJ+7tUeJ+f+1NobPeZ5JfCE+oVm9jQze0prk0RERNLW6OB5EcXxzXpPKe8TERGZMhodPJ8G/HyU5b8Antq6nKmnr68vOqGynNtzl/Nzr/Y4Ofen1t7o4PkgxXs66z2KYjKRiIjIlNHo4HktcKaZTRtZYGZ7AmcCOrvQBKxatSo6obKc23OX83Ov9jg596fW3uj1PM8AfgLcbGY/KZc9B+gGdGE+ERGZUhoaPN39t2b2NOBtwCHl4suB8939zja1iTSlmRMZ6ILMIjIRjW554u6DFLtppYV6e3ujEypTe5yc+9UeJ+f+1NrHPT3fTiuaPRV4M3Aw8EZ3HzSzE4Hb3T2tndEV6PR8IiJSr+rp+QAwsxMo3pbyGIqLYs8s73o88P5WRU5FK1asiE6oTO1xcu5Xe5yc+1Nrb3S27QeB0939RcC2muU/Ap7Z6qipZNu2bbtfKVFqj5Nzv9rj5NyfWnujg+ci4DujLN/I6Nf5FBERmbQaHTw3UuyyrbeY4uoqUlF3d3d0QmVqj5Nzv9rj5NyfWntDE4bM7J+BI4GXAzcChwFzgEuBS9z9nDY2doQmDImISL0JTRgCzgJuA26nODHCjcByihMnfLhVkVPR2rVroxMqU3ucnPvVHifn/tTaGxo83X27u/8dsIBi6/PVwJPc/SR3f7CdgZPd0NBQdEJlao+Tc7/a4+Tcn1p7wydJAHD3W8zsrvLvw+1JEhERSVuju20xs9PMbANwL3Cvmd1hZu8yM11VRUREppRGJwx9HFgGfAL4Wbn4WcDfA19w9zPaVtghUROGtm7dyowZMzr+dVtB7XFy7ld7nJz7o9rHmjDU6G7bNwFvcvcra5YtN7PfAhdSXHVFKhgeHs72m1ntcXLuV3ucnPtTa294ty3w6zGWNfNvSJ01a9ZEJ1Sm9jg596s9Ts79qbU3OvBdBrx1lOWnAl9uXY6IiEj6Gt1tOwN4tZk9Dxg5O+8SYC5wuZl9dmRFd39HaxNFRETS0ujg+SRgoPz748o/h8qPJ9es19j1zWSH+fPnRydUpvY4OferPU7O/am1N3w9z8lOp+cTEZF6E72e57xx7jtiAl1TXn9/f3RCZWqPk3O/2uPk3J9ae6MThn5lZq+pXWBme5jZOcAPW58lIiKSrkYHzzOAC8zsCjN7hJk9HrgOeAPwwrbViYiIJKjRE8NfSHEZsicCq4FVwO+Bp7n7D9qXN/n19OR7LXG1x8m5X+1xcu5Prb3hCUNmti/wb8BfUQy6b3H3L7SxraM0YUhEROpNdMLQUuB/gQOBhRS7az9hZt80s/1aWjrFrF69OjqhMrXHyblf7XFy7k+tvdFjnj+gOMvQs939Znf/MtAHPJpiUJWKNm7cGJ1Qmdrj5Nyv9jg596fW3uhJEo5z953mCbv7beUW6T+2PktERCRdDQ2e9QNnzfKHgA+1tEhERCRx404YMrPrgBe4+5/L2x8FPuHuG8vb+wMD7t7bgda20oQhERGpV3XC0OFAV83ttwKPrLk9jWISkVQ0ODgYnVCZ2uPk3K/2ODn3p9be7LU4bZRlOjnuBKxbty46oTK1x8m5X+1xcu5PrV0XshYREWnS7gZPZ9ctS21piojIlLa72bYGfMXMtpa39wK+YGaby9sz2lY2RSxcuDA6oTK1x8m5X+1xcu5PrX13g+eX6m5/ZZR1LmtRy5TU3d0dnVCZ2uPk3K/2ODn3p9Y+7m5bd399Ix/tCDOzGWb2OTO728zuM7Nvmdm4M3vN7Gwz87qPoXb0tcrKlSujEypTe5yc+9UeJ+f+1NpTnjD0GeAlwKuAI4FHAN82s2m7+bzfAnNqPp7axkYREZmCGj09X0eVV3B5I/B6d7+6XHYScDtwHHDVOJ/+gLsnvbUpIiJ5S3XL81BgOvD9kQXufgdwE3DEbj73YDO708xuM7OvmtnBbeycsNmzZ0cnVKb2ODn3qz1Ozv2ptSe55QnMBh4E7q5bfld531hWAicDvwH+AjgLuM7MFrr7PfUrm9kyYBkU/zH9/Q+fwrevrw+AVatW7VjW29vLvHnzWLFiBdu2bQOKg9iLFy9m7dq1DA09vMG7ZMkShoeHWbNmzY5l8+fPZ86cOTt9nZELvK5evXqnqwYsXbqUwcHBnd4YvHDhQrq7u3fa9z979mwWLFjAwMAAw8PDAHR1dXH44Yezfv16NmzY0NbHNGvWrFEf06JFi5J/TENDQ039P6X2mIaHhyf8vRf1mIaGhtr289TOxzQ0NLSjq5OvEa18TENDQx19jWjVY6p97jv5ujeWhi+G3Qpm9iHgzN2sdgwwl2IW73SvCTSz5cA6d39zg1+vG7gV+Ji7nzveulHnth0YGGDx4sUd/7qtoPY4OferPU7O/VHtY53bttNbnp9h9Le71NpAcU7dacD+wB9r7jsA+HGjX8zdh81sDTC/uczOGfmtKUdqj5Nzv9rj5NyfWntHB093v5tdd8XuwsxuALYDxwNXlMsOBJ4MXNfo1zOzvYAnAT+s0isiIjKaJCcMufu9wBeBj5vZcWbWB3wZ+DXwg5H1zOw3Zva2mtufNLOjzOwgM1sCXAnsw64ne0hGV1fX7ldKlNrj5Nyv9jg596fW3tFjns0wsxnAJ4FXAzOBa4C3lLNuR9Zx4APufnZ5+6vAUh7e3bsC+Cd3v3F3X0/X8xQRkXpVr+cZxt23uvvb3X0/d9/b3f+6duAs17GRgbO8/Up3n+vuXe7+GHd/SSMDZ6T169dHJ1Sm9jg596s9Ts79qbUnO3hOFbVTqnOj9jg596s9Ts79qbVr8BQREWmSBk8REZEmJTthqNOiJgxt2rSJWbNmdfzrtoLa4+Tcr/Y4OfdHtWc3YUhERCRVGjyD1Z5vMTdqj5Nzv9rj5NyfWrsGTxERkSZp8BQREWmSBs9gvb290QmVqT1Ozv1qj5Nzf2rtmm1b0un5RESknmbbJmrFihXRCZWpPU7O/WqPk3N/au0aPIONXMU8R2qPk3O/2uPk3J9auwZPERGRJmnwDNbd3R2dUJna4+Tcr/Y4Ofen1q4JQyVNGBIRkXqaMJSotWvXRidUpvY4OferPU7O/am1a/AMNjQ0FJ1Qmdrj5Nyv9jg596fWrsFTRESkSRo8RUREmqQJQ6WoCUNbt25lxowZHf+6raD2ODn3qz1Ozv1R7ZowlKjh4eHohMrUHifnfrXHybk/tXYNnsHWrFkTnVCZ2uPk3K/2ODn3p9auwVNERKRJGjxFRESapMEz2Pz586MTKlN7nJz71R4n5/7U2jXbtqTT84mISD3Ntk1Uf39/dEJlao+Tc7/a4+Tcn1q7Bk8REZEmafAUERFpkgbPYD09PdEJlak9Ts79ao+Tc39q7ZowVNKEIRERqacJQ4lavXp1dEJlao+Tc7/a4+Tcn1q7Bs9gGzdujE6oTO1xcu5Xe5yc+1Nr1+ApIiLSJA2eIiIiTdKEoZImDImISD1NGErU4OBgdEJlao+Tc7/a4+Tcn1q7Bs9g69ati06oTO1xcu5Xe5yc+1Nr1+ApIiLSJA2eIiIiTdLgGWzhwoXRCZWpPU7O/WqPk3N/au0aPIN1d3dHJ1Sm9jg596s9Ts79qbVr8Ay2cuXK6ITK1B4n5361x8m5P7V2DZ4iIiJN0uApIiLSJA2ewWbPnh2dUJna4+Tcr/Y4Ofen1q7T85V0ej4REamn0/MlamBgIDqhMrXHyblf7XFy7k+tXYNnsOHh4eiEytQeJ+d+tcfJuT+1dg2eIiIiTdLgGayrqys6oTK1x8m5X+1xcu5PrV0ThkqaMCQiIvU0YShR69evj06oTO1xcu5Xe5yc+1Nr1+AZbMOGDdEJlak9Ts79ao+Tc39q7Ro8RUREmqTBU0REpEmaMFSKmjC0adMmZs2a1fGv2wpqj5Nzv9rj5Nwf1Z7dhCEzW2ZmPzSzP5uZm9m8Bj/vJWZ2o5ltLf98UZtTRURkikl28AT2Br4PnN3oJ5jZs4CvAZcDh5R/ft3MlrShryVWrVoVnVCZ2uPk3K/2ODn3p9a+Z3TAWNz9MwBmtsvm8jhOA37o7h8ub3/YzI4pl7+qlX0iIjJ1pbzlWcWzKLZWa10FHBHQIiIik1SyW54VzQbuqlt2V7l8F2a2DFhW3hzu6en5bRvbxrI/cHfA120FtcfJuV/tcXLuj2p/3GgLOzp4mtmHgDN3s9ox7v6jDuTg7hcBF3Xia43FzK4fbSZXDtQeJ+d+tcfJuT+19k5veX4G+Mpu1pnIaSSGgAPqlh1QLhcREWmJjg6e7n437d3s/hlwPPCJmmXHA9e18WuKiMgUk+wxTzObTXGsckG56Clm9khgg7tvLNe5Bvi5u7+3XOc8oN/M3gP8F/Ai4BjgOR1Mb1bobuMJUnucnPvVHifn/qTakz3DkJmdDbx/lLte7+6XluusB37k7ifXfN5LgQ8BBwO3AGe6+3+2OVdERKaQZAdPERGRVE2293mKTFpmZtENU5GZ6XVSdqEtTxERkSbpNyppSq6/hZvZjOiGiTCzd5nZE6M7qsh5i9nM3h3dMFWZ2aPMbP/ojrFk+UKYMzPbI9cXEzPrcveHojsqOtfM3gxgZtOiYyp4BfA6yHIwutrMHhMd0Swzew7wXjM7pLyd1eulmS00s0PMrDu6paL3AO+zUnRMvay+GXJmZkvMrNvdH/JyX3mGA+lVZnZqdERF9wFvKP8PHqy9I5P/g3OBN5rZCzyjYy1mNgc4EDipvL3La06Kz3/ZeR3wXeCfzWx6hr84XgIMABeY2UvN7CAz2ys6qgnvBt4GHJ3i97wGz875AnC9mV1gZscC1A+koXW7YWbzgaOAM8zs4OieCj4NzAL+bWTByIt2zf9Bb6r/D+7+H8BXgYvMbCEU/SkOPLXcfRD4KMX3zQkjA1Btt7t7+R7uZJQ/mw8B5wCLgM/V3p/6817uXVlCsbfiycB/AMuBj5nZcWY2x8xSfp//m4A7KN7beaGZ7TvGekeb2fSOxo187QQH9Emn/Eb+S4qrvjwbeCxwD8UVYP7D3X8dmNcQM/sicBCwDbjV3d9iZtNqt+LKH8Yud98c1TkeM3sGxVV23kvxy4xRXHHnQIoXmS53PzaucHRmtkfNoPMNiheV97r7/aOtkyIzuxB4HsUZv24GZgCHU5wE5a3AF9z9X+IKd2Vme7r7A+Xu2y8CpwPfqd0KMjNLcavIzP4JeLS7v6O8fQDwZuANQC+wCvhPigF1RWqPwcwGgMsonvc1wGXuflbta46ZHQ5c7O6LQhoTe84mJTM7DrjR3e8sz5x0JHAscBjQA9xKsXvo38vf1JNjZv8HvJTiRe/fgRPc/bq6dd4NHOvufxmQ2JDyRfwIiuf8EIq9LwZ8j+JasJfH1Y3NzB4F7AecBbyW4jfynwM/c/ebItsaYWaPo7hQ/W0U30NHAA8Cmyme+8+6+7q4wtGVP6/7A98A9gXeB9wI3OTu90S2jcfMfgfMBV7j7lfU3fd04FSKK0r91N2PDEgcUzlJ6C7gYHe/3czeCPwTxWvO2ppfai4H9nb3F4V0avBsLzPbh+LYyX0Uv+39D3Ctu99nZgt4+PSBxwPnu/s5YbFjMLMTKAb2/crb36Z4QTnG3e8f+e3bzH5VrvexyN5aZvZYii2eI4ClQDcwDXgIOAW4HViV2m/eI8zsFRQXcp8LLAR+AGwFHgU8Ghik2JL7trtfFdU5mnL3/kuAxRTf5w8Cc4ArKQbSm9z9xrjC0ZW7CF9G0X4gMI9iL1EPxZnLhil+pn8JfN3d/xASOoby5/VrFMc8j6Q43LKV4hfFB+q2nPd193tDQsdgxdnlTnD3I8rd47OA7wB3uvvLy3WmU+y9e379L/Ed4+76aOMHxTdsH8UWw9UUB/CXU5xC8PDy/j0pdun+RXTvGI/h2xQD+8jtBRS7DpfVLJtP8eK4d3RvXfsvKbYU/pti0sqhwCuBTcCra9az6NZR2p9AcSGFS4DTKF7IH1netxfwt8DnKbai3xDdW9f+eIpfUFZSHG/7a+AZFFdV+g2wT6rPPcVx8ZspjnO+HngMMLO8bw7wLuAnwJ8odo2GN9f1f7f8vti//Dl9T7l8j5p1nl7+vHZF947Svx54c+33BvBc4H7g5eXtlwF/jOzUlmcHmdneFLtqXw48DdgH+B3wU4rfYG8LzBtV+Zvfg0Cfu/+qnHW4vfzt8GXA8V7sjv4U8ExPaBeQFe/tnA/c43W7w624eMAbgZe4+69TPGZoZq+neMH7Yt3ynVrLGa1/9ppjoNHM7NXAVnf/Rt3yRwI/pNgL81Zgiyf2ImRmPwPWuftr65bXH+M/2N1v7XjgOMqf123AYeXP63sojvE/091/W7OX6KPAUe5+RGhwHTObC3wQOMXdt9fddwHFJKhnUvyCsNrdT+t45Ijo3zKm6gfF8asXUxwUvxU4ObppjM4nAJeUf9+T8rdXiiverAUuLG/fAbwsureu/Z08/JvqnuWfI/37UuxC/0Z05zj9l1Nc3KC3vG019xkJbjXU9K0BzqtbNvJ/cGz5uF5a/7hS+KDYSv4D8Kra75ma531adOM47W8A1tYtW0ExU3s6D2/J/T61n9ey63Tgi3XLRpoPpNhrcTawHTgotDX6yZrqH+UP4+NIbHdnTd8JwBPrm8s//5Zit+LZwP3RraO0X0ZxTPPAMfoPBe4FPhjdOkb/TIpjaxdTTLLZZZAB9oruHKP9hcDGkRfoUQb+j1Acs3pKdOsY/R8qB539ytvJDph13bcCZ5d/n17+eVQ5WD6vvH10ij+vZdsgxe7+ke+bPer+fGd5/8roVu22lTGVk51+QjHZaQ3FZJXlXjPL0MwuoXibx0XufkpI6BjMbCZwDcUxz7cC27zuG97MzgIG3P07AYljsuJsTtvM7HkUx6/e4+5Xlm9ynwkcR7Hr/3nAs71uF1cKzOyDFL98vcDd76l7m4FRvG3ob9x9S2RnrZHGclf414Db3f2kmvv3BEbeA5oUM+uieAvWP7j7ULls5PF8CXiyuz/TzC4GHuHl5JtUjDbRyeve9lZOFPovij1e3+p4ZG2LBk8ZS3nCgKdTbEUcSTHb8F6KSU9XA/0Uu58vAc5w918Fpe6igcHnBIrB53jgSHffGpg7LjP7FsUb9a+mmHV7LMWx8v8DvuLu5wXm7aKBAWiGu28d+T+KKx2bmT2C4n2RHwauAP7V3VfGVu3eWM+pmR0E/AK4EHgHxSzVn3a6bzxm9l2KLef3UxwT/7y7f6zufc6Ppzhc1O3Bx/g1eEpD6iY7PRXYG7iTYrLTDe5+TWDeuMYZfDZRvPn6s4F5u7DiPLCLKGZgL6WYWPaM8u4LKI6FDrn7LTGFjcltADKzEyme95dSfH9Po9jd+QDFJJUhivd7nu/utwdlVmZmJwFfAgbdPalzDTcx0enjwBHu/pzQYDR4SgVmth/FcZQTKV7gz3H3L4dG1ch98DGzr1Kckep6irfafI/iOM+HgTNHflFJdIbwiWQ4AJUD/a8ojtNeTvF2ie8ATvGWj0MojhWeDHzZ3U8PyJyQcq/LF4Hr3P3z0T21zOwNFHuHFtQsW0Hx/3AS5ftTzez3wLu8OF1lKA2eUln52+LjgD/UH5uIlPngY8CrKd6X+sDI8cDyWNungb+iOItTim9rynYAKg9RPMbd76hZttOp98q9L/Mo3qz/545HtkA5j2F7arvLzexWir1AZ9e8He4oij0Wb3D3q8zsaOC77j4zsnWEBk+ZVHIefGrV7KaqnWQzA7iW4pR2f+3u94VG1pmsA1D9Y5DWynWikwZPmZRyHHzGU/N4DqKY9fxpT+xE6uPRACTjyXGiU5KXXxKZqJEX6tq3RpQzal9Fsav59YF5Tav5ReA2ihPz7x3d1AwNnDKesXYjl9/v76KYPPR/qQycUJwxRmTSqx18zCy7wQce/kWA4soeIlPF14HnU5wwJBnabStTTnlsjtQmC4nI6FKc6KTBU0REpEk65ikiItIkDZ4iIiJN0uApIiLSJA2eItI0M5tnZm5mh412W2Sy0+ApMgmZ2aXlYOZmtt3MbjWzT5azFtvhDmAOxekQRSY9vc9TZPL6AcVJtadTXFLuYoqT5J/a6i9Uvgd1qNX/rkiqtOUpMnltdfchd7/D3a+gOFn7iWb2GjP7hZltMrM/mNnXyyvRAGBmR5dbrPvXLBt3t6x228pUo8FTZOq4n2IrtIvigsNPpzhR/v4Up/wTkQZpt63IFGBmz6S42sw17v5vNXfdamanAjeZ2YHu/ruYQpG8aPAUmbyeb2bDFD/n0yku0/Z2M1tMseV5CNADWLl+L6DBU6QB2m0rMnn1UwyQTwT2cvcXA/cBV1Fclu0k4BkUJ92GYncuFBcOh4cHVSgGXxEpactTZPLa7O431y17EsUxzn8cuSC4mb24bp0/ln/Oqfn7Ie2KFMmRtjxFppYNwFbgbWZ2sJm9EPhg3To3U7xv82wzW2BmJwBndbhTJGkaPEWmEHf/I/A64ETgRopjn6fXrbMdeCVwMPAr4APAP3Y0VCRxuiSZiIhIk7TlKSIi0iQNniIiIk3S4CkiItIkDZ4iIiJN0uApIiLSJA2eIiIiTdLgKSIi0iQNniIiIk3S4CkiItKk/w/R1qDRH0KRcAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "execution_count": 17
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "source": [
    "plot_bloch_multivector(psi)"
   ],
   "outputs": [
    {
     "output_type": "stream",
     "name": "stderr",
     "text": [
      "C:\\Users\\Melissa\\AppData\\Local\\Programs\\Python\\Python39\\lib\\site-packages\\qiskit\\visualization\\bloch.py:68: MatplotlibDeprecationWarning: \n",
      "The M attribute was deprecated in Matplotlib 3.4 and will be removed two minor releases later. Use self.axes.M instead.\n",
      "  x_s, y_s, _ = proj3d.proj_transform(xs3d, ys3d, zs3d, renderer.M)\n"
     ]
    },
    {
     "output_type": "execute_result",
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 576x288 with 2 Axes>"
      ]
     },
     "metadata": {},
     "execution_count": 18
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "source": [
    "bound_circuit.measure(0,0)\r\n",
    "bound_circuit.measure(1,1)\r\n",
    "bound_circuit.draw('mpl')"
   ],
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "image/png": 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PRzCo72ij7pNZ38KsTYdZiyNF1pZoxYoVKCsrk2TfISEhd/WbgO+E5cNIrv9ivg/fEam+8Sq83f0BAM4OvXD+5wqj74NZ38KsxWHW4ojI2hKVlZVBqVRKPYbR8LILGZWzQy80NF0DANxougYXx97SDmTFmLU4zFocZt09sHyQUQ3tPw7f/fAFAOC7Hwp013HJ+Ji1OMxaHGbdPbB80D1Rt7bguR1RqKw+htUZ0VBrWmBn54DkN8NhYyPH4H5jpB7RajBrcZi1OMy6e+I9H3RPbOV2SE8q0Fs2pN9YiaaxbsxaHGYtDrPunlg+BHp2+2Sc/PEI5HI72NjI4eU2AHOnpCJixEypR7M6zFocZi0OsyZrwfIh2LyoFzEv6gW0tqqRU7wV69+fiwDfUPh6Bkg9mtVh1uIwa3GYNVkD3vMhEbncFrFjn0arRo2zF8ukHseqMWtxmLU4zJqMTSaTwdXVVci+eOZDIi3qZuwv3g4A8PMMknga68asxWHW4jBr6oiDgwPi4uIwbtw4hIaGws3NDa2traisrERpaSny8vLaPLBMJpMhIyMDISEhiIqKQm1trUlntPjyUVdXh5SUFGRnZ6O+vh6hoaHYsGEDJk6cKPVo7Xr/i3XYp9yExqbrkMvtsHJmBvx9ggEAn3+9CwWle3TrVtdUYviAcDw/d69U41o0Zi0OsxaHWVNHHB0dkZqaikWLFsHDw6PN6yEhIZgxYwbWrVuHI0eO4KWXXkJBQYGueDz55JNoaGjAoEGD8NVXX5l0VosuH1qtFnFxcTh58iQ2bdoEHx8fvPHGG5g6dSqKi4sRGhoq9YhtzJ2SinlRL+B6Qy0270vAsTOFiB2TAACIHZOg+77m2iWs2hGJhTHrpBzXojFrcZi1OMya2jN27Fjs2bMHgYGBAICSkhJkZ2ejtLQUly5dgp2dHQYPHowJEyZgzpw5GDduHPLz87Fz5044ODjg8ccfR0NDA6ZNm2by4gFYePnYv38/lEol8vLyEBsbCwCYNGkSFAoFUlNTkZeXJ/GEHXN1csPKmRl44pWBKC7PwfhhcbrXNBoN1mfOQ0Lseni532/yWQrLspBbvA2VF4/hZksDDmxQm3yfIjFrcZi1OMyabouKikJubi4cHR1x/PhxLFq0CMXFxW3WKy0txd69e7Fq1SosX74cf/nLX5CYmAgAuuIh6hHuZnvDqUajwaZNmxAYGAgHBweMGDECSqUSgwYN0oWVk5MDDw8PxMTE6Lazt7fH7NmzkZ+fjxs3bkg1vkF6Ornj0fCVeOffa6DRaHTL9+S/jAFewzFh2J+FzOHi6Ibp45Zg8Z+2CNmfFJi1OMxaHGZNQ4YMwSeffAJHR0dkZGQgLCys3eLxWw0NDXjllVf0/oH+7bffCv3dMWZbPhISErB27VokJSXh888/x2OPPYY5c+agsrISo0aNAgCUl5dDoVBAJpPpbTts2DCo1WqcOnVKitG75JHw5ai5Vo380n8CAL794QuUnj6Ipx9KFzbD6EHReDB0Drw9/IXtUwrMWhxmLQ6z7r7kcjl2794NZ2dn7N27F4mJiWhubu50u9v3eDzyyCNobGxEfX09Jk6ciPnz5wuY+hazLB+ZmZnYvXs3cnNzsWrVKkRGRiI1NRXjxo2DWq3GyJEjAQA1NTVwc3Nrs727u7vu9Xslk8kM+lIqizp9r82LizAv6gW9Zc4OPZH9txpEj16AmmuXsPWTZVgzLxN2tvYGzadUFhl1RqkY+ziYdceYtTjMWpyuHMfdfN32++9FfbV3VmL+/PkYM2YMVCoVFi9eDK1W22lOMpn+zaWxsbFYtmwZAGDz5s3o0aNHO9kqu5xTZ8zyno+0tDTExMQgIiJCb3lAQADs7OwQHBzcpfd76aWXkJWVhTNnzuCDDz5AfHy8Mcc1mvcK1uLGzTps/NcC3bK+fxiEFfE7pBvKSjFrcZi1OMy6e7ldGl566SVcv3690/V/Xzxu3+OhVCrxzDPPYOTIkYiPj8fevab/dJTZlY+qqiqUl5cjOTm5zWsqlQoKhULXzNzd3dv9LPLtMx63z4DExMRgwYIFePLJJ7s8jyFNEgBKsoCrVV1+ez3PzNiGZ2Zs69I2ERGTod0ubkZTEX0czJpZi8CsxenKcdyN1Rt2Arj1d8Jvvxdl8uTJemc/AgICMGrUKNTU1CArK6vT7TsqHre99dZb2LlzJ+bMmdOmfERERKCoqMhoxwKY4WWXqqpb/2V7eXnpLW9sbIRSqdRdcgEAhUKBEydOtPkPoKKiAra2thg8eDAAYPz48fD357VIIiKyDmFhYQCAw4cPo6mp6Y7rdlY8ACA/P1/vfU3N7MqHp6cnAOD06dN6y9PT01FdXa272RQA4uLicPnyZRw4cEC3rKWlBVlZWYiKioKzs7OYoS1cq6YVzS030aK+daNSc8tNNLfcFNrquwtmLQ6zFodZi6dQKAAAx44du+N6hhQPADh//jzq6upw3333tfuAMmMzu8su/v7+CA4ORlpaGtzd3eHr64sPP/xQ95Gg35aP6dOnIzw8HAsXLkR6ejq8vb2xdetWqFQqZGZmSnUIFqegdA82fbBQ9/NDaxwBAHuePyfkGQHdCbMWh1mLw6zFUyqV0Gq1ujMWHbl9y4Ehz/FYv349evTogZaWFmOP24bZlQ8bGxvs27cPSUlJWLx4MTw8PPDEE09g6dKlWLNmjd7NpjKZDLm5uUhJScHKlSt1j1c/ePCgXkkxZ5frLuLFfzyMH38+gU//Xg+5XPwfSfToBYgevUD4fkVj1uIwa3GYdfdUUFCAgoKCTtd79913MXbsWGRmZnb6HI8NGzYYa7xOmd1lFwAICgpCYWEhbty4AZVKhbVr1+L48eMYOnQoHB0d9dbt3bs3duzYgV9//RWNjY0oLi7GpEmTJJq863o6uSM98QsM6feA1KNYPWYtDrMWh1nTnWg0GixatEjoA8QMYZbloz0lJSV3fTbjxRdfhJ+fH44cOYKkpCT4+fnh7NmzRp7w7tjbOcDVqe2zSsj4mLU4zFocZk2WyCLKR319PU6fPq33SZeuWLt2LaqqqtDU1IQrV66gqqoKAwcONPKUREREZAizu+ejPS4uLmhtbZV6DCIiIjICizjzQURERNaD5UNi6tYWPLcjCpXVx7A6IxonVUelHslqMWtxmLU4zJoskUVcdrFmtnI7pCd1/nEpunfMWhxmLQ6zJkvEMx9EREQkFMsHERERCcXLLkbi2sf89yvVjIawhOOwhBkNYQnHYQkzGsISjsMSZjSEOc9mDCEhIV3eplJVDQDw7+et972IfXeG5cNIBj0o9QSds4QZDWEJx2EJMxrCEo7DEmY0hCUchyXMaK22bNnS5W1Wb9gJAHglJVHve3PAyy5EREQkFMsHERERCcXyQUREREKxfBAREZFQLB9EREQkFMsHERERCcXyQUREREKxfBAREZFQLB9EREQkFMsHERERCcXyQUREREKxfBAREZFQLB9EREQkFMsHERERCcXyQUREREKxfNyln376CVOmTMGQIUOgUCjw/PPPSz0SERGZoaKiIigUCgQEBOCpp55Ca2ur1CN1avny5fDz84Otra1J3p/l4y7Z2tpiw4YNOHnyJL777jscPnwYOTk5Uo9FRERmRKPR4KmnnsK+fftw5swZXLt2De+9957UY3Vq5syZKCkpMdn7s3zcJW9vb4SFhQEA7O3tERoaCpVKJfFURERkTr755hv4+Phg6NChAICEhAR89NFHEk/VuYkTJ8LLy8tk72+a8yndTE1NDT755BMcPHhQ6lGIiMgIzv1UjdyC4jbLX/vHR22+d3LsgSdmRMPe3q7N+lVVVejbt6/u5379+uGnn34ywcS3zrLszSlAzdXrnc4MAJHjQhE82N8ks3SGZz7uUXNzM+Lj47F8+XIMHjxY6nGIiMgI7vfzgqdbT1T/cgXVv1zRLf/999W/XMHYkKHtFg8A0Gq1Jp/1NhsbG4SPDsalX2s6ndnezhbDgu4XNtvvsXzcg9bWVsydOxchISF49tlnpR6HiIiMRCaT4c/R4XB1drzjeqGKgDuePejbt6/emQ6VSgU/Pz+jzfl79/t5IWLsiDuuY29ni8ceioSNjXQVgOXjHiQmJsLV1RWbN2+WehQiIjIyZ0cHxMdGdPh6L1dn/Clqwh3fIywsDFVVVThx4gQAYNeuXZgxY4ZR5/y9qImj4N3Ho8PXH35wHDzcepp0hs5Yffm4ePEi5syZAzc3N7i4uCA6OhoVFRX3/L7//e9/8c4776CkpAShoaEICQnB66+/rntd5Kk2IiIyjUED+2FsyJB2X5v50GQ4OvS44/ZyuRwZGRmIj4/HwIED4eLigvnz55tiVB1buRyzHo6ErVze5rXBA/th9IjObxFISkqCn58fWltb4efnh6VLlxp1RpnWiv+WbGxsRGhoKDQaDdLS0uDk5IS0tDScOnUKZWVlJjv1pdVq8c4HeRg8sD8mhA0zyT6IiEiM5uYWvLb7I1ypvaZbNiFsGKZPGS/hVJ079PX/4bPCr3Q/Ozs6YMWT8XB1cZJwqlus+sxHRkYGTp8+jY8//hjx8fGYNm0aPv30U6jVaqSlpZlsv6fPVeGH8xdgZ9u2dRIRkWWxt7fDrIciIZPJAAB9PNwQM2mMxFN1bsLo4fDv56P7+ZGYcLMoHoAVlI/jx4/j0UcfhaenJxwcHBAYGIjU1FQAQE5ODkJDQ6FQKHTru7m5Yfr06fj4449NMo9Wq0XB4VL07umCkcODTLIPIiISq5/vfYh8IAQ2NjLMmh4JOzvzf1KFjUyGxx6ajB72dhg5LAjDggZIPZKORV92KS0txaRJk9C3b1+kpKSgf//+OHfuHIqLi7Fr1y54eXkhOjoa7777rt52GzZswOrVq3H58mV4eHR8Uw4ArN6w05SHQEREZDVeSUk0aD3zr2538Oyzz8LZ2RlHjx5Fr169dMsTEhIA3Hr4l5ubW5vt3N3dda93Vj6IiIjIuCy2fDQ0NODQoUNYtmyZXvEwNkNbHAB8X/kT/rHvc8yIDseYDu6OJiIi6u4stnzU1tZCo9Hc8RMr7u7uqK2tbbO8pqZG93pn7uayS/aBQ8g+cKjL2xEREVkyQ//BbrE3nLq5ucHGxgYXLlzocB2FQtHuMz0qKirg5eXFSy5EREQSsOgbTiMjI3HixAn88MMP6Nmz7dPaXn/9daxYsQIVFRUYMuTWZZCrV69iwIABmD17NrZv326UObRaLd7ck4PrNxqwKnFWuw92ISIiolssunzc/rRL//798dxzz6F///5QqVQ4dOgQMjIy0NDQgJCQEMhkMr2HjJ04cQJlZWV6v2nwXvBeDyIiIsNZ7GUXABg1ahSOHDmCwMBAJCcnY9q0aVi3bh18fG49VMXJyQmFhYUICQlBQkIC4uPj4ejoiKKiIqMVDwCou1aP+zzd+FwPIiIiA1j0mQ9zotFoJP0NgURERJaC5YOIiIiE4j/ViYiISCiWDyIiIhKK5YOIiIiEYvkgIiIioVg+iIiISCiWDyIiIhKK5YOIiIiEYvkgIiIioVg+iIiISCiWDyIiIhKK5YOIiIiEYvkgIiIioVg+iIiISCiWDyIiIhKK5YOIiIiEYvkgIiIioVg+iIiISCiWDyIiIhKK5YOIiIiEYvkgIiIioVg+iIiISCiWDyIiIhKK5YOIiIiEYvkgIiIioVg+iIiISCiWDyIiIhKK5YOIiIiE+v9dEaPTcRQsoQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 701.433x204.68 with 1 Axes>"
      ]
     },
     "metadata": {},
     "execution_count": 19
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "source": [
    "simulator = Aer.get_backend('aer_simulator')\r\n",
    "result = simulator.run(bound_circuit).result()\r\n",
    "counts = result.get_counts(bound_circuit)\r\n",
    "plot_histogram(counts)\r\n"
   ],
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "execution_count": 20
    }
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [],
   "metadata": {}
  }
 ],
 "metadata": {
  "kernelspec": {
   "name": "python3",
   "display_name": "Python 3.9.1 64-bit"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.1"
  },
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "state": {},
    "version_major": 2,
    "version_minor": 0
   }
  },
  "interpreter": {
   "hash": "1d76bb280da093bf7260b592363b449b8d54408228f36ce25dff58a9f746dd21"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}