{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"id": "e79af8f1",
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"# Importing standard Qiskit libraries\n",
"from qiskit import QuantumCircuit, transpile, Aer, IBMQ, execute\n",
"from qiskit.tools.jupyter import *\n",
"from qiskit.visualization import *\n",
"from ibm_quantum_widgets import *\n",
"\n",
"# Loading your IBM Quantum account(s)\n",
"provider = IBMQ.load_account()"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "6a480c6a",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'All the exercises will be from the qc project notebook.Exercise 1'"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"\"All the exercises will be from the qc project notebook.\"\"Exercise 1\" "
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "71c03a45",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 146.652x144.48 with 1 Axes>"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cir = QuantumCircuit(2)\n",
"cir.h(0)\n",
"cir.draw()\n"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "c58ea37a",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 146.652x144.48 with 1 Axes>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cir2 = QuantumCircuit(2)\n",
"cir2.h(1)\n",
"cir2.draw()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "98952db1",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'Exercise2:'"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"\"Exercise2:\""
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "5299ce65",
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 538.279x204.68 with 1 Axes>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cir = QuantumCircuit(2)\n",
"intial_state = [1,0]\n",
"intial_con = [0,1]\n",
"cir.initialize(intial_con, 0)\n",
"cir.initialize(intial_state, 1)\n",
"cir.ch(0,1)\n",
"cir.cz(0,1)\n",
"cir.ch(0,1)\n",
"cir.measure_all()\n",
"cir.draw()\n"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "cc732886",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAc0AAAE6CAYAAAB00gm8AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8rg+JYAAAACXBIWXMAAAsTAAALEwEAmpwYAAAZPUlEQVR4nO3df7RdZX3n8fcXIiAmKAQJSS4IIYzOJCLo0QJeILrMMOAMKrgKLDVmUDIJlYgsW3FVaeMAdtAyUNuM5bZLCDqWilXHGiBUiXFBuHgTG/nhJFkDpBLCjSmBaIEE0+/8sU8yZw73x3OSk3sPue/XWmfdc57n2c/57j/gk73P3s+OzESSJA3vgNEuQJKkVwpDU5KkQoamJEmFDE1JkgoZmpIkFTI0JUkqNG60CxhNRx55ZB533HGjXYYkqYOsWrVqS2a+fqC+MR2axx13HH19faNdhiSpg0TEhsH6PD0rSVIhQ1OSpEKGpiRJhQxNSZIKGZqSJBUyNCVJKmRoSpJUyNCUJKmQoSlJUiFDU5KkQoamJEmFDE1JkgoZmpIkFTI0JUkqZGhKklTI0JQkqZChKUlSIUNTkqRChqYkSYUMTUmSChmakiQVMjQlSSpkaEr7oUsuuYSjjjqKmTNnDtifmSxcuJDp06dz0kknsXr16t19t956KyeeeCInnngit9566+72VatW8eY3v5np06ezcOFCMnOf74fUaQxNaT80d+5c7rrrrkH777zzTtavX8/69eu5+eabWbBgAQDPPPMMixYtore3lwcffJBFixaxdetWABYsWEBPT8/u7YaaX9pfGZrSfujMM8/kiCOOGLT/e9/7HnPmzCEiOPXUU3n22WfZtGkTd999N7Nnz+aII47g8MMPZ/bs2dx1111s2rSJbdu2ceqppxIRzJkzh+9+97sjt0NShzA0pTFo48aNHHPMMbs/d3V1sXHjxiHbu7q6XtYujTWGpiRJhQxNaQyaOnUqv/zlL3d/fvLJJ5k6deqQ7U8++eTL2qWxxtCUxqDzzjuPJUuWkJk88MADvPa1r2Xy5MmcffbZLFu2jK1bt7J161aWLVvG2WefzeTJkznssMN44IEHyEyWLFnC+973vtHeDWnEjRvtAiS138UXX8zy5cvZsmULXV1dLFq0iJdeegmA+fPnc+6557J06VKmT5/OoYceyte+9jUAjjjiCD7/+c/z9re/HYCrr7569wVFixcvZu7cubzwwgucc845nHPOOaOzc9IoirF8r1WtVsu+vr7RLkOS1EEiYlVm1gbq8/SsJEmFDE1JkgoZmpIkFTI0JUkqZGhKklTI0JQkqZChKUlSIUNTkqRCIxqaEXFmRPyviNgYERkRcwu2eXNE/DgiXqhvd3VERNOYCyLi0YjYXv/7gX22E5KkMWukjzTHAw8DnwReGG5wRBwG3AP0A2+vb/f7wJUNY04Dbge+AZxc//utiPidNtcuSRrjRnTt2cxcCiwFiIhbCjb5EHAo8NHMfAF4OCLeBFwZETdktQbgFcC9mXltfZtrI+Jd9faL27sHkqSxrNN/0zwN+Ek9MHe5G5gCHNcwZlnTdncDp+/z6iRJY0qnP+XkaODJprb+hr7H63/7Bxhz9EATRsQ8YB7AlClTWL58OQDTpk1jwoQJrFmzBoCJEycyY8YMVqxYAcC4cePo7u5m9erVbNu2DYBarUZ/fz9/8v0T9mYfJUlt8IULN7F27VqgemZsV1cXvb29AIwfP55arcbKlSvZvn07AN3d3axbt47NmzcDMHPmzN19gxm1p5xExG+AT2TmLUOMWQY8mZmXNLQdC2wATs/MlRGxA/h4Zi5pGDMH6MnMg4eqoV1PObn0xr2eQpK0l3quaM88r+SnnDwNTGpqm9TQN9SYp5EkqY06PTRXAmdExCENbbOBp4AnGsbMbtpuNnD/Pq9OkjSmjPR9muMj4uSIOLn+3cfWPx9b7/9iRPywYZP/CTwP3BIRMyPifOAqYNeVswA3Ae+OiKsi4k0R8VngXcCNI7RbkqQxYqSPNGvAz+qvVwOL6u+/UO+fDOy+qiYzn6M6apwC9AF/AfwpcEPDmPuBi4C5wM+BOcCFmdm7b3dFkjTWjPR9msuBGKJ/7gBtDwFnDjPvHcAde1meJElD6vTfNCVJ6hiGpiRJhQxNSZIKGZqSJBUyNCVJKmRoSpJUyNCUJKmQoSlJUiFDU5KkQoamJEmFDE1JkgoZmpIkFTI0JUkqZGhKklTI0JQkqZChKUlSIUNTkqRChqYkSYUMTUmSChmakiQVMjQlSSpkaEqSVMjQlCSpkKEpSVIhQ1OSpEKGpiRJhQxNSZIKGZqSJBUyNCVJKmRoSpJUyNCUJKmQoSlJUiFDU5KkQoamJEmFDE1JkgoZmpIkFTI0JUkqZGhKklTI0JQkqZChKUlSIUNTkqRChqYkSYUMTUmSChmakiQVaik0I+KAiDig4fPREfHxiHhn+0uTJKmztHqk+QPgcoCIGA/0AV8ClkfEnDbXJklSR2k1NGvAj+rvzwe2AUcBlwKfLpkgIi6LiMcj4sWIWBURZwwx9paIyAFe/9IwZtYgY97U4r5JkjSkVkNzPPBs/f2/B76TmS9RBekJw20cERcCNwHXAacA9wN3RsSxg2zySWBy0+sx4G8HGDujadz6oj2SJKlQq6H5T8A7I+I1wNnAPfX2I4DnC7a/ErglM3sy8xeZeTmwCVgw0ODMfC4zn971ogrmaUDPAMM3N47NzJ0t7pskSUMa1+L4G4DbgN8AG4AV9fYzgYeG2jAiDgLeBny5qWsZcHrh918KPJKZ9w/Q1xcRBwOPAtdk5r2D1DEPmAcwZcoUli9fDsC0adOYMGECa9asAWDixInMmDGDFSuqXRw3bhzd3d2sXr2abdu2AVCr1ejv76fgIFuStI9t2rSJtWvXAjB16lS6urro7e0FYPz48dRqNVauXMn27dsB6O7uZt26dWzevBmAmTNn7u4bTGRmS0VFRA04BrgnM39Tb3sv8Gxm3jfEdlOAjcBZmbmiof1q4EOZ+cZhvve1VEeln83Mmxra3wi8C/gpcBDwEWB+/Xt+MtSctVot+/r6hhpS5NIb93oKSdJe6rmiPfNExKrMrA3U1+qRJpnZR3XVbGPbD/awtlZ8mOp08m1N370WWNvQtDIijgN+HxgyNCVJakXLixvUr359JCKej4hp9bbPRMTvDrPpFmAnMKmpfRLwdMFXXwp8OzOfKRjbC5xYME6SpGKtLm5wBfA54GYgGrqeAj4x1LaZuQNYBcxu6ppNdRXtUN/7DuAtDHwB0EBOpjqVK0lS27R6enY+cGlm/iAirmloX011y8dwbgBui4gHgfvq800BvgoQEUsAMrN5oYR5wPrMXN48YT3InwAeofpN88PA+4ELCvdJkqQirYbmG4CHB2h/CXj1cBtn5u0RMZHqaHVyfa5zM3NDfcjL7teMiAnARcAXBpn2IKpVibqAF6jC872ZuXS4eiRJakWrofkY8Faq200anUt1q8ewMnMxsHiQvlkDtP2aalGFwea7Hri+5LslSdobrYbml4E/j4hDqX7TPC0iPgL8AXBJu4uTJKmTtBSamfm1iBhHtQzeoVS3fzwFLMzM2/dBfZIkdYw9uU+zB+iJiCOBAzJzc/vLkiSp87Qcmrtk5pZ2FiJJUqcbNjQj4udUS9JtjYiHgEHX3cvMk9pZnCRJnaTkSPPbwPaG960tVitJ0n5i2NDMzEUN7/94n1YjSVIHa3UZvR9FxOsGaD8sIn7UtqokSepArS7YPotqBZ5mhwBn7HU1kiR1sKKrZyPirQ0fT4qIxieNHAicTfWsTEmS9lult5z0UV0AlMCyAfpfAC5vV1GSJHWi0tA8nmrZvMeAdwC/aujbAWzOzJ1trk2SpI5SFJoNTyFp+aHVkiTtL0oWNzgf+H5mvlR/P6jM/Lu2VSZJUocpOdK8Azga2Fx/P5ikuihIkqT9UsniBgcM9F6SpLHGEJQkqVDpb5pF/E1TkrQ/K/1Ns4S/aUqS9mst/aYpSdJYZiBKklTI+zQlSSrkfZqSJBXyPk1JkgoZgpIkFWo5NCPirRGxJCL66q/bmp63KUnSfqml0IyIDwE/BSYDS+uvScCDEfHh9pcnSVLnKH2e5i7XAp/PzOsaGyPis8A1wNfbVZgkSZ2m1dOzrwf+doD2bwFH7X05kiR1rlZD815g1gDts4Af720xkiR1slYXbL8T+GJE1IAH6m2nAucDf9z26iRJ6iB7umD7vPqr0VeAxXtdkSRJHcoF2yVJKmQgSpJUqNVbToiIw4FzgGOBgxr7MvMLbapLkqSO01JoRsSpwA+A7VS3n2ykWuhgO/AEYGhKkvZbrZ6e/RLwDWAq8CLwbqojzj7gv7W3NEmSOkuroXkS8OeZmcBO4ODM7Ac+g7ecSJL2c62G5o6G9/3AG+rvfwNMaUtFkiR1qFYvBFoNvB1YBywHromIScCHgZ+3tzRJkjpLq0eafwg8VX//OeBXVIsaHM7LFzuQJGm/0tKRZmb2Nbz/FdWtJ5IkjQkt36cJEBEnAP+2/vHRzHysfSVJktSZWr1PcyLw18B5wL/+v+b4e+CSzPznNtcnSVLHaPU3zb8CpgNnAIfUX2cCxwM97S1NkqTO0mpong1cmpn3ZeZv66/7gP9S7xtWRFwWEY9HxIsRsSoizhhi7KyIyAFeb2oad0FEPBoR2+t/P9DifkmSNKxWQ/NXwL8M0P48MOyp2Yi4ELgJuA44BbgfuDMijh1m0xlUy/Xteq1vmPM04HaqlYpOrv/9VkT8znD1SJLUilZD8wvAjRExdVdD/f2fUrbu7JXALZnZk5m/yMzLgU3AgmG225yZTze8djb0XQHcm5nX1ue8luoe0iuK90qSpALDXggUEQ8B2dB0PPBERGysf961Du1RVL95DjbPQcDbgC83dS0DTh+mjL6IOBh4FLgmM+9t6DuN6l7RRncDnxhmTkmSWlJy9ewdbfquI4EDqZbfa9QPvGeQbXYdhf6U6jFkHwF+GBFnZeZP6mOOHmTOoweaMCLmUV+IYcqUKSxfvhyAadOmMWHCBNasWQPAxIkTmTFjBitWrABg3LhxdHd3s3r1arZt2wZArVajv78fOGHYnZck7VubNm1i7dq1AEydOpWuri56e3sBGD9+PLVajZUrV7J9+3YAuru7WbduHZs3bwZg5syZu/sGE9Xa6/teREyhepTYWZm5oqH9auBDmfnGwnmWAr/NzPPqn3cAH8/MJQ1j5gA9mXnwUHPVarXs6+sbakiRS2/c6ykkSXup54r2zBMRqzKzNlDfni5u8G7g31Gdtn0kM5cXbLaF6skok5raJwFPt/D1vcBFDZ+fbsOckiQNq6ULgSJiakQ8CNxD9Tiwq6hOl/bWjyQHlZk7gFXA7Kau2VRX0ZY6meq07S4r2zCnJEnDavVI88+ojhanZ+bjABExDfh6ve+Dw2x/A3BbPXjvA+ZTPVLsq/W5lgBk5pz65yuAJ4BHqH7T/DDwfuCChjlvAlZExFXAd4EPAO8CulvcN0mShtRqaM4GZu0KTIDMfCwiFgI/HG7jzLy9vhTf56jut3wYODczN9SHNN+veRDwJaALeIEqPN+bmUsb5rw/Ii4CrqG67eX/ABdmZm+L+yZJ0pD25DfNga4cKr6aKDMXA4sH6ZvV9Pl64PqCOe+gfVf5SpI0oFYXN/gh8JWIOGZXQ301nxspONKUJOmVrNXQXAi8BngsIjZExAaq06GvqfdJkrTfavX07D8D7wBmAbsWTf9FZv5DO4uSJKkTFYdmRBwIPAe8JTPvobrtRJKkMaP49Gx9kfQNVFe0SpI05rT6m+Z/Bf4kIo7cF8VIktTJWv1N89NUTznZGBFP0vRszcw8qV2FSZLUaVoNzTuo7smMfVCLJEkdrSg0I+JQqpV53g+8iuqezMszc8u+K02SpM5S+pvmImAu8APgm1TPv/wf+6gmSZI6Uunp2fOBj2Xm3wBExDeA+yLiwPpVtZIk7fdKjzSPAX6y60NmPgj8luoJJZIkjQmloXkgsKOp7bfs4UOsJUl6JSoNvQC+HhHbG9oOAXoi4vldDZl5XjuLkySpk5SG5q0DtH29nYVIktTpikIzM//zvi5EkqRO1+oyepIkjVmGpiRJhQxNSZIKGZqSJBUyNCVJKmRoSpJUyNCUJKmQoSlJUiFDU5KkQoamJEmFDE1JkgoZmpIkFTI0JUkqZGhKklTI0JQkqZChKUlSIUNTkqRChqYkSYUMTUmSChmakiQVMjQlSSpkaEqSVMjQlCSpkKEpSVIhQ1OSpEKGpiRJhQxNSZIKGZqSJBUyNCVJKmRoSpJUaMRDMyIui4jHI+LFiFgVEWcMMfb8iFgWEb+KiF9HRG9EnNc0Zm5E5ACvQ/b93kiSxpIRDc2IuBC4CbgOOAW4H7gzIo4dZJOzgB8B762PXwp8Z4CgfR6Y3PjKzBfbvweSpLFs3Ah/35XALZnZU/98eUT8B2AB8NnmwZn5yaamRRHxXuD9wE/+/6H59D6oV5Kk3UbsSDMiDgLeBixr6loGnN7CVBOArU1tr46IDRHxZET8fUScshelSpI0oJE80jwSOBDob2rvB95TMkFE/B7QBdzW0LwWuARYQxWonwTui4i3ZOb6AeaYB8wDmDJlCsuXLwdg2rRpTJgwgTVr1gAwceJEZsyYwYoVKwAYN24c3d3drF69mm3btgFQq9Xo7+8HTigpX5K0D23atIm1a9cCMHXqVLq6uujt7QVg/Pjx1Go1Vq5cyfbt2wHo7u5m3bp1bN68GYCZM2fu7htMZOY+3IWGL4qYAmwEzsrMFQ3tVwMfysw3DrP9BVRheWFmfn+IcQcC/wjcm5kLh5qzVqtlX19f+U4M4tIb93oKSdJe6rmiPfNExKrMrA3UN5IXAm0BdgKTmtonAUP+HhkRH6QKzDlDBSZAZu4E+oAT97xUSZJebsRCMzN3AKuA2U1ds6muoh1QRPwuVWDOzcw7hvueiAjgJGDTnlcrSdLLjfTVszcAt0XEg8B9wHxgCvBVgIhYApCZc+qfL6IKzE8DKyLi6Po8OzLzmfqYPwIeANYDhwELqUJzwQjtkyRpjBjR0MzM2yNiIvA5qvspHwbOzcwN9SHN92vOp6rxxvprlx8Ds+rvXwfcDBwNPAf8DDgzMx9s+w5Iksa0kT7SJDMXA4sH6Zs11OdBtvkU8Kl21CZJ0lBce1aSpEKGpiRJhQxNSZIKGZqSJBUyNCVJKmRoSpJUyNCUJKmQoSlJUiFDU5KkQoamJEmFDE1JkgoZmpIkFTI0JUkqZGhKklTI0JQkqZChKUlSIUNTkqRChqYkSYUMTUmSChmakiQVMjQlSSpkaEqSVMjQlCSpkKEpSVIhQ1OSpEKGpiRJhQxNSZIKGZqSJBUyNCVJKmRoSpJUyNCUJKmQoSlJUiFDU5KkQoamJEmFDE1JkgoZmpIkFTI0JUkqZGhKklTI0JQkqZChKUlSIUNTkqRChqYkSYUMTUmSChmakiQVMjQlSSpkaEqSVGjEQzMiLouIxyPixYhYFRFnDDP+rPq4FyPisYiYv7dzSpK0J0Y0NCPiQuAm4DrgFOB+4M6IOHaQ8ccDS+vjTgG+CHwlIi7Y0zklSdpTI32keSVwS2b2ZOYvMvNyYBOwYJDx84GnMvPy+vge4Fbg03sxpyRJe2TcSH1RRBwEvA34clPXMuD0QTY7rd7f6G7goxHxKiBanTMi5gHz6h9/ExFri3ZA2v8dCWwZ7SKkPfVXn2rbVG8YrGPEQpPqP8gDgf6m9n7gPYNsczTwDwOMH1efL1qdMzNvBm4urloaIyKiLzNro12H1Mm8elaSpEIjeaS5BdgJTGpqnwQ8Pcg2Tw8y/rf1+WIP5pQkaY+M2JFmZu4AVgGzm7pmU13xOpCVg4zvy8yX9nBOSQPzZwtpGJGZI/dl1e0htwGXAfdRXR37MWBGZm6IiCUAmTmnPv544GGgB/hL4J3AYuDizPx2yZwjtnOSpP3eSJ6eJTNvj4iJwOeAyVSBeG5DuB3bNP7xiDgX+O9Ut5A8BSzcFZiFc0qS1BYjeqQpSdIrmVfPSpJUyNCUJKmQoSlJUiFDU5KkQoamJEmFDE1pDIqIV0XEv4mIg0e7FumVxNCUxqbfA34GfDUi/lNEHB0RBzYOiIjDIuKc+hOFJOF9mtKYFBErgRepFjg5Hfgn4DvA3wEPZeZzETEfmJuZp45epVJn8UhTGmMi4vXAS0BPZp5B9ezAvwb+I7AC+FFEfAa4AugdrTqlTuSRpjTGRMRk4CLg0cy8u6nvFODj9f7DgWMyc+PIVyl1JkNTGoMi4tVAZuaLERG72rP+P4SIuJZqDedTRqtGqRON6ILtkjpDZr6wKyyz6V/OEXEocAHwtdGoTepkHmlKY0hEHAb8ujkom8YcAlwIfLP+zFpJdYamNIZExF8CD9ZfGzJz2wBjXpeZz450bdIrgaEpjRERcTHwDWAb8AxwD3AX8HPgqfop21cDfwP8YWY+PGrFSh3K0JTGiIjoAXYC1wPnAx8FTgDWAkuBHwJvBG7KzINGq06pkxma0hgQEeOAPwAOy8yrGtpnAJcCHwQOAV4H3JqZHxuNOqVOZ2hKY0REHA5Mysz/HREHAS81XhAUERcC3wTempn/OEplSh3NW06kMSIztwJb6+93AETEAVT/eN4JHAa8aGBKgzM0pTEsM/+14eME4I9GqxbplcDTs5KA6nFhwM6mIJXUwNCUJKmQTzmRJKmQoSlJUiFDU5KkQoamJEmFDE1JkgoZmpIkFfq/HiERBfS5+zEAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 504x360 with 1 Axes>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"simulator = Aer.get_backend('qasm_simulator')\n",
"result = execute(cir, backend = simulator).result()\n",
"plot_histogram(result.get_counts(cir))"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "4d70021a",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAUkAAACoCAYAAABt5Rw7AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8rg+JYAAAACXBIWXMAAAsTAAALEwEAmpwYAAAeUklEQVR4nO3deVzU9b7H8dcwrAriwhEBV1aBYnVPWVzSq5ZdQ7t2s6NpmKLHpY7atdLqkcctoU6pp0w5nlOZYKd4dLDMjQMu5ZqCJOISoOa+iywD9w9yDIHfjDrMb2A+z8ejR8PMd36/NwVvvr91NJWVlZUIIYSolY3aAYQQwpJJSQohhAIpSSGEUCAlKYQQCqQkhRBCgZSkEEIokJIUQggFUpJCCKFASlIIIRRISQohhAIpSSGEUCAlKYQQCqQkhRBCgZSkEEIokJIUQggFUpJCCKFASlIIIRRISQohhAIpSSGEUGCrdgAh1Pbzzz8bHPPBBx8wefJkxTGdO3c2VSRhQWQmKYQRPvzwQ7UjCJVISQohhAIpSSGEUCAlKYQRUlNT1Y4gVCIlKYQQCqQkhTBCXFyc2hGESuQUIBUd2QLXz6mzbpfWENBXnXUL40ybNo0DBw6osu6wsDCSkpJUWbelkZJU0fVzcKVI7RTCUh04cICMjAy1Y1g92dwWwggJCQlqRxAqkZIUwgiGrrYRjZeUpBBGiIqKUjuCUImUpBBGOH/+vNoRhEqkJC3Yd7uTeXl5jNHjJyVFsvvId/UXSAgrJCXZiPQMHsbOnDS1YzRKQUFBakcQKpGSbER6BQ9j12Epyfqwfv16tSMYrUOHDsTGxjJgwAC6du2Kk5NTnWM1Gg1Tp06lSZMmZkzYsEhJNiBfZf2VV1bEApCybQmvr3oCgDUb5zEv+b/x8QzFxkZLXtFeNWM2Sm+88YbaERR1796d5ORkLly4wMmTJ9myZQsbN27kxx9/5Pr16+zdu5eEhASaNWumf49Go2HFihUkJSWxbt06FdNbNinJBiT/9H58vSL0j328wqsen7r7uGfwMHbkfK1axrr8ehU2HoK0fZB5BG6VqJ3o/qSkpKgdoVYeHh6kpaWxa9cu/vjHP9KqVSvOnz9PRkYG33//PQcPHqSyspKIiAg++OADTp48yejRo/UFGR8fT3FxMUuXLlX7W7FYVlmSFRUVLFmyBD8/PxwdHQkNDSUjI4OAgADi4+PVjleno0X78PX8XTF6hgFw7PQB/ePunYfwY+6/VUpYU3EpfLwNFnwD6QdhSy6s3wOvfwkbs6GyUu2EDVd0dDQ5OTk88cQTXL16lUWLFhEQEEDr1q2JiYnh8ccfJzQ0lGbNmjFixAgyMzNp0aIFa9as4ejRo/qCHDp0KFu2bFH727FYVlmS48aN4+2332bChAls2LCBkSNHMmrUKI4fP05kZKTa8WpVVl5KwbnD+HqFU1JWTNGFPHy9wrl+6zLnrhTg+9tM8tyVX2jdvL3KaavoKuCjrZBzqvbX0n+CzYfNn6sx6N27Nxs2bKBFixakp6cTFBTErFmzyMvLqzG2uLiY1NRUoqKiGDNmDKWlpfj4+KDT6Rg2bJgUpAFWV5Kff/45ycnJpKWl8corrxAbG8ucOXPo2bMn5eXlREREqB2xVmcvn6RcV4anmy/HzxzEyd4Zj5adyD6ZhXuLDrRu3g6AnTlp9AwepnLaKtlFcOKC8phvD1XNNi2dJV1D3aJFC9atW4eTkxMrV65k6NChnD592uD7NBoNvXr1wt7ensrKSrRaLeHh4WZI3LBZXUnOnz+fQYMGER0dXe15X19f7OzsCAkJAeDkyZNER0fj7+/Po48+SmZmphpx9TSaqv9Vpy/kc+xU1eZ1adlt1m75CwO7jAWguPQmB45tpUfQUDWj6u06BhqN8phyHez/xTx5HkZOTo7aEfSWLl2Kh4cHmZmZTJgwgUoj9lncuw9y9uzZALz11lv4+/vXd+QGzaruAlRUVER2djbTp0+v8VpBQQHBwcE4ODgAMGHCBJ555hkmTZrEjh07GDFiBCdOnMDe3t7gejSGmuE3S17aSqhPjFFjvdx8iQl9hunLeuPi1JJyXSljFvoRGTCQZ/u/BsDeIxvx9QrHtambweVlZGyj66hYo9b9oJ5bkE2rtsGKYyorK3nl/95hZ+rr9ZpFSW0/D/dKTEw0OC4xMdFUkerUrl07Ro8eTWlpKS+88AIVFRUG33NvQd7ZB9m5c2fGjh3LjBkzeOmll6q9JyMjw+if44bKmD8uYGUzyaKiqvuStWnTptrzxcXFZGRk6De1L1y4QFZWFuPGjQOgV69eeHp6snXrVvMGvsec59ayMH4T5bpSokOfIWnyDl4esRKtjRaAnYfT6BVkGZvaACU3L1Np4JdYo9FQUnzVTIkavhdffBGtVktqair5+fkGx9dVkAALFy4E4LnnnsPFxaVeczdkVjWTdHOrmmHl5eUxePBg/fOLFi3izJkz+oM2BQUFuLu762eVAJ06deKXX4zbLjT2L9Setfd/P0kfzzCu3bpI/8jR+v2Qd7i36EBU6AijlhMdHUPl8vo9tPyfI/DlHsPjNq5dTCvnxfWaRYkxn7udmJho8MwHU59GExMTU2NfaL9+/QBYs2aNwfcrFSTAkSNH+PHHH+nWrRvdu3dn06ZN+teio6PZtm2bab6RBs6qStLb25uQkBDmz59Py5Yt8fLyIjU1lfT0dACLO7Lt4xnG413GVHuu8NzPVFTo6OBe8zK55x+fZ55gRuraqeo0n5sldZ/qE94BWjmbN9eDePPNN9WOgFarJSwsDIDdu3crjjVUkHf88MMPdOvWjcjIyGolKe6yqs1tGxsbUlJSCA4OZuLEiYwdOxY3NzcSEhLQarX6gzbt27fn7NmzlJTcPeP5xIkTdOjQwax5fb3CGNh1TLXnOrYJJn1BCbZaO7NmeRBO9jCpLzg7VH/+zq4u/zbwPz3Mn+tBjBw5Uu0IuLq60qRJEy5fvsylS5fqHGdsQQL6TXZPT896ydwYWNVMEsDf37/GvsXRo0cTFBSkv8bVzc2Nxx57jE8++UR/4ObUqVPExtbvgY7GyLMFzHkS9pyA1N8mPyFtoYcvBHiATQM5NhAYGEhubq6qGS5duoSzs3O13UC1sbW1xcPDw6gTxT/++GP+/ve/c+vWLVPHbTSsaiZZlz179tTY1F6xYgVr167F39+f+Ph4Pv/8c6OObJvCd7uTGbsogJ+OVe2PWp42nenL+vDh11NrHX/h6mkmJkUw+FVHdLpyAE5dyGfC0jBWf/uaWTIrcbSD3r87y2RsFAR6NpyCtCQ3b95UnEUClJWVERcXR+/evQ2eKF5cXMzVq1cpKyszZcxGxepL8saNG+Tl5dU4idzb25v//Oc/5OXlkZ2dXeO8yvo2IvrPhPpEc7RoH8UlN0iclEl5eSlHCmvui2rWpCWL4jcT2P7utquXmy+ThiWZMbGwJKWlpezbt0/tGI2C1W1u38vZ2RmdTqd2jDrlFuwi0n8AABF+/Tn8y04C2nWtNsbezhF7O0c14lmNmJgYtSMIlVj9TNLS3Si+QhOHqttbNXV05UbxFXUDWanly5erHUGoRErSwjV1dOVWyTUAbpZcw9mpubqBrNTEiRPVjiBUIiVp4YI69GT/0c0A7D+6icD2PdDpyrl8/azKyayLnFhtvaQkLZxf2wjs7ByZvqwPNjZaOrfvxq+XT1Y7al2uK2Pm3/pz/MxPzF45kNyCH1RMLETjYvUHbiyRk4Mza7cuwMvNj1CfaBKGvVft9eOnfyI2fJT+a1utHYsmVL9a4tSFfFamzyYqxLjLFIUQtZOStEBRIXFEhcTV+XqfkKcNLsPLzZe/TtllylhWTe0TyYV6pCRV5NLaOtfdEK1bt87slybeuU77fh0vOAOAd3uPao/Nse7GSFNp7C1rhHhI0z6t+nfS/6qb417G3AXImMsSO3fubKpID2X2wo8AWDArvtpj8WDkwI0QQiiQkhRCCAVSkkIYYdmyZWpHECqRkhTCCMHByp/VIxovKUkhjGDuu0AJyyElKYQQCqQkhTBC165dDQ8SjZKUpBBGMPTBW6LxkpIUQggFUpJCCKFASlIII6SmpqodQahESlIIIRRISQphhLi4um9dJxo3uVWaio5sgevn1Fm3S2sI6KvOukXjNm3aNA4cOGD29YaFhZGUlGTy5UpJquj6ObhSpHYKIUzrwIEDZGRkqB3DZGRzWwgjJCQkqB1BqERKUggjTJ48We0IQiVSksIsrt+++7jgIpSWq5flQURFRakdQahE9kmKevPrVdh+FA4VwpVbd59f+i1oNODRHLp2gm7e0NRBtZhGOX/+vNoRhEpkJmnBvtudzMvLY4wePykpkt1Hvqu/QEa6VQqf7YQF30DmkeoFeUdlJZy+DF/vgze/gqw8qJBPWxIWSEqyEekZPIydOWmqZjh9GRb9G348bvx7SsshdTd8vA1KLHQzPCgoSO0IQiVSko1Ir+Bh7DqsXkn+ehU+2FT7zNEYuafho61QpjNtLlNYv3692hHE79jZ2dGkSROzrEtKsgH5KuuvvLIiFoCUbUt4fdUTAKzZOI95yf+Nj2coNjZa8or2mj1bmQ6SM6s2teuS9L+GP0722Dn49wGTRjOJN954Q+0IjZKzszOjR4/mgw8+IDMzk4MHD7J3716++OILZs6cWevH9NrZ2bFu3Tq++eYbsxSllGQDkn96P75eEfrHPl7hVY9P3X3cM3gYO3K+Nnu2jYeqZpKmkPEznLxgmmWZSkpKitoRGhVXV1eWLl3KqVOnWLNmDQkJCfTu3ZtHH32UiIgIRo4cycKFC8nNzWXz5s306NEDuFuQTz31FKGhoXTs2LHes1ptSVZUVLBkyRL8/PxwdHQkNDSUjIwMAgICiI+3zA9yP1q0D1/P3xWjZxgAx04f0D/u3nkIP+b+26y5bpfBf46YbnmVwKYc0y1PWJZ+/fqRnZ3N9OnTadasGZmZmfz5z3+mX79+hIaG0q1bN8aOHcsnn3zCjRs36Nu3L9u3b+fdd98lJSWFp556ikuXLtG/f38OHz5c73mt9hSgcePG8eWXX/L6668TGRnJjh07GDVqFOfPn2fGjBlqx6uhrLyUgnOH8fUKp6SsmKILefh6hXP91mXOXSnA97eZ5Lkrv9C6eXuzZtt7wvQHXHKK4PJNaNHUtMsV6hoxYgSfffYZtra27Nq1i4kTJ9Z6nffu3btJTk5mxowZzJ49m5kzZ+p/L+8U5P79+82S2Spnkp9//jnJycmkpaXxyiuvEBsby5w5c+jZsyfl5eVERESoHbGGs5dPUq4rw9PNl+NnDuJk74xHy05kn8zCvUUHWjdvB8DOnDR6Bg8za7a8X02/zEog/6zpl/ugGtO1yGrp2bMnn376Kba2tixatIjHHnvM4I0wrl27xty5c9m+fbv+uW3btpmtIMFKS3L+/PkMGjSoxseE+vr6YmdnR0hICFC1s97f3x8bGxvVb7qq0VT9rzp9IZ9jp6o2r0vLbrN2y18Y2GUsAMWlNzlwbCs9goaaNVvhpYa13AeRkyPb/w/D0dGR5ORk7OzseO+995g1axYVFRUG33dnH2RUVBRXr16lpKSE4cOHM2jQIDOkrmJ1m9tFRUX6/SH3KigoIDg4GAeHqss/Bg0axJgxY3jhhRfuax0ajcaocUte2kqoT4xRY73cfIkJfYbpy3rj4tSScl0pYxb6ERkwkGf7vwbA3iMb8fUKx7Wpm8HlZWRso+uoWKPWbcjk5BK0tvb6rw0dwa7r9WmfVv/6kzUpPN115EOmM6y2n4V7JSYmGhyXmJhoqkgPZdaCvwFVP4e/f6ymKVOm4O/vT3Z2NjNnzjTqPb8/SHNnE7tfv34sXryY999/n4CAACor716BkJGRcV/f5+/fq8TqZpJFRVX3JmvTpk2154uLi8nIyKi2qd2rVy+8vb3Nmk/JnOfWsjB+E+W6UqJDnyFp8g5eHrESrY0WgJ2H0+gVZN5N7Sr18wt4Z/YsGjYbGxsmTpwIwMyZMyktVThP7De1FeT+/ftJTEzkl19+wc/PjwEDBtR3dMAKZ5JublWzrLy8PAYPHqx/ftGiRZw5c4bIyMiHXoexf6H2rL3/+0n6eIZx7dZF+keO1u+HvMO9RQeiQkcYtZzo6Bgql5vmOsA3voRrxXe/vndGeMedGWRdr9/r+Wef5pv36v9axZ9//tngmMTERINnPSxdutRUkR7K7IUfAVU/h79/bC4xMTHV9uF2796dTp06ceLECb799luD76+rIAF0Oh0fffQR77zzDqNGjWLjxo3690VHR7Nt2zaTfz9WV5Le3t6EhIQwf/58WrZsiZeXF6mpqaSnpwOYpCRNxcczjMe7jKn2XOG5n6mo0NHBveZlcs8/Ps88we7RtgUcLjY87n61a2X6ZT6oN998U+0IDVaXLl0A2Lx5s8GyVirIO77//nveeecd/XLrm9Vtz9jY2JCSkkJwcDATJ05k7NixuLm5kZCQgFar1R+0sQS+XmEM7Dqm2nMd2wSTvqAEW62dOqFq4dO6fpbr/Yf6We6DGDmy/veNNlbBwcEA/PTTT4rjjClIgIMHDwIQGBiIjU39V5jVzSQB/P392bp1a7XnRo8eTVBQEE5OTiqlari6eUP6QdAZPlhpNJ/W4O5quuU9rMDAQHJzc9WO0SClp6dz7tw5duzYoThuxowZBgsSoKSkhLfffpuysjKzHJCyypKszZ49e/SXPt3x+uuvs3r1as6fP8+hQ4eYNm0aGRkZ+Pj4qJTSMrk4Vd0Xctcx0y0zNtB0yxLqSktLIy3N8I1XEhMTCQ4OJjEx0eB5kOa8lt7qNrdrc+PGDfLy8mqcRP72229TVFRESUkJFy9epKioyCwF+d3uZMYuCuCnYxlcuHqaiUkRDH7VEZ2u7stalqdNZ/qyPnz49VQATl3IZ8LSMFZ/+1q95wV4MhyamWgSHt4BHmlrmmWJhqO0tJTnn3/erCeKG0NKkqo7keh0OqZMmaJ2FL0R0X8m1CeaZk1asih+M4Hte9Q59mjRPopLbpA4KZPy8lKOFO7Gy82XScOSzJa3iQOM7gVahZ+oaZ8aPrLduhnEdTVtNlOIiYlRO4JQiZSkhbO3c8SlSQvFMbkFu4j0rzpnLMKvP4d/2WmOaDX4tYHx0WCnfbD3t3GFSf0s86Mcli9frnYEoRIpyUbgRvEVmjg0A6Cpoys3iq+oliXQE2YOhk73eWQ6KgCmD4Lm5rmP6n27czK0sD5y4KYRaOroyq2SawDcLLmGs1NzVfP8oRlM6Q85pyDrKOSdqbphxb3sbSGyI/TxB0/lybLq6uMkZdEwSEk2QDpdOdduXaSFizsAQR168u9dfyM6dCT7j26qcQK6Gmxs4NF2Vf/cLoNTl+Dc9arThBztwLN51Sk+SvswhbAE8iNq4cp1Zcz8W3+On/mJ2SsHklvwA79ePlntqLVf2wjs7ByZvqwPNjZaOrfvpmLimhztwMcdevpCb3/o0qlq5igFKRoCmUlaICcHZ9ZuXYCXmx+hPtEsmrCp2uuZB9cTGz6q2nMJw96r9vWpC/msTJ9NVIhx13ILZXIiufWSkrRAUSFxRIXE1fl6n5CnDS7Dy82Xv07ZZcpYVm3dunVyaaKVkpJUkUs9XfNs6etuiObOnSslaaSwsLD7fs/xgjMAeLf3qPa4vtdrDClJFQX0VTuBEKaXlJR03++5c0u3BbPiqz22BLLrXAghFEhJCmGEZcuWqR1BqERKUggj3LknorA+UpJCGOHeT9YU1kNKUgghFEhJCiGEAjkFSFi9zp07Gxwzd+5co8aJxkdmkkIYYd68eWpHECqRkhRCCAVSkkIIoUBKUgghFEhJCiGEAilJIYRQICUphBAKpCSFEEKBlKSZFRYW0q9fPwIDAwkODubVV19VO5IQetu2bSM4OBhfX1/Gjx+PTqdTO5JBU6dOpW3bttja1s+1MVKSZmZra8vChQvJzc1l//79ZGVl8fXXX6sdSwgqKioYP348KSkp5Ofnc+3aNf75z3+qHcugESNGsGfPnnpbvpSkmXl4eNClSxcA7O3tCQ8Pp6CgQOVUQsDu3bvx9PQkKCgIgHHjxrF+/XqVUxnWu3dv2rRpU2/Ll2u3VXTp0iW++uorNm7cqHYU0YDlHD3Jpqy9NZ5/b/X6Go+bN2vKc089jraWz/MtKiqiXbt2+q/bt29PYWFhPSSGsvJy1qzfyI1bxQYzAwyO7Y5fx7b1ksUQmUmqpLS0lLi4OKZOnSo3ThAPJdC3A06O9pw5d5Ez5y7qn7/38ZlzF3msy6O1FiRAZWVlvWe9w87Wlp6RwUZlbt6sKb4dvMyW7V5SkirQ6XQ8++yzhIWF8fLLL6sdRzRwNhoNIwbH4GBvpziud5dHFcumXbt21WaOBQUFtG1bf7O3IN8OdAkJUBzT1MmR4YOi0Gg09ZbDEClJFcTHx+Pi4sK7776rdhTRSLRwdeHJAY/V+XrrVi0YGN1VcRldunShqKiIw4cPA/DJJ58wfPhwk+a81xN9e9LS1aXO14cPisKlaZN6zWCIlKSZbd++nVWrVrFnzx7Cw8MJCwvj/fffB8y7uSMan4hgPx7x71Tjea2NDc88EYudgVNktFotK1euJC4uDh8fH5ydnRk9enR9xQXAwcGekUNjqW2eGPmoP8H+HQ0uY8KECbRt2xadTkfbtm1JSEgwaUZNpfxmWox/fZeJVmvDk/3rnhEIoeTmrdskrkrhxs27B0QGRnUltme4iqkM+zbjR7btOqD/uoWrC1PHPo2jg716oX4jM0kLcfHKNXYf/Blq/ZsqhHGaNnEk7r/ufmhZBy93orqHqpjIOP17R+LRuhVQ9RswYkiMRRQkWFBJzps3D41GQ3Z2NkOGDMHZ2RkPDw8WL14MwIYNG4iIiKBJkyaEh4eTlZVV7f07duxg4MCBuLq64uTkRJ8+fWqM2bNnDyNHjqR9+/Y4OTnh6+vLlClTuHr1arVx+fn5xMXF0aZNGxwcHPDy8uLJJ5/k4sWL1JetO/djo7EhpgH8QAvL1tmnPd3DArG3s2XkkFi0Nhbza14nW62WZ4bGotXa0KdbCN7tPNSOpGcxm9vz5s3jzTffpHPnzowfP57Q0FDWrFnDP/7xD2bNmsU333zDa6+9houLC3PmzKGwsJCTJ0/i4uLCxo0bGTp0KH379iU+Ph4HBwc+/PBDNm/eTFZWFl27Vu2wTk1NJTc3l9DQUFxdXcnPz+cvf/kL7u7ubN++XZ8lICCAZs2aMXPmTNzd3fn111/5/vvvmTt3rlFH+2Yv/Kje/jsJIUxjwax4o8ZZXEkuX76cl156CYCSkhLc3d25desWeXl5dOzYEYAtW7bQr18/UlNTefrpp/H398fNzY2srCxsfvurWV5eziOPPIK3tzfp6em1rrO8vJydO3cSFRXF/v37CQsL48KFC/zhD3/gq6++YtiwYQ/0vUhJCmH5jC1Ji7viZvDgwfrHDg4OeHt7o9Pp9AUJdz/drrCwkPz8fI4ePcq0adOoqKigoqJCP65///6sXr1a//WNGzdYsGABX3zxBYWFhZSUlOhfO3LkCGFhYbRq1Qpvb29mz57N2bNniYqKuu+TvY39jw9V+yLf/fgLeoQH82T/Xve1HiFE/bO4kmzZsmW1r+3t7XF0dKzxHMDt27c5e/YsAAkJCXUe+i8uLsbJyYkXXniBDRs2MG/ePCIiInBxcaGwsJDhw4dTXFx1NFCj0bBp0ybeeustXnvtNc6fP68/rWDWrFlGndT6IDPJHXuz2bE3+77fJ4R4MA12Jnm/WrWqOiI2b948hgwZUusYBwcHbt++zb/+9S/eeOONale53HvQBqBTp06sXr2ayspKcnJyWLVqFa+++ipubm6MHz++fr4RIYRFavAlGRAQgLe3N4cOHWLu3Ll1jispKaG8vBw7u+qXbq1atarO92g0Gh555BGWLl3KihUrOHTokFGZjP0LlbohgwM5+cyc8D80c2lq1HuEEObV4EtSo9GwYsUKhgwZwrBhw3juuedo3bo158+fZ9++fZSVlbF48WJcXV3p1asXS5Yswd3dHU9PT9atW8cPP/xQbXkHDx7kT3/6EyNHjsTPzw+AlJQUiouLGThwoMlyX7xyjX3ZefQID5aCFMKCNfiSBBgwYAA7duzgnXfeYeLEiVy/fp3WrVsTERHBiy++qB/32WefMXnyZKZNm4ZWq2Xo0KF88cUX+vs7ArRp04aOHTvy3nvvUVRUhJ2dHYGBgaxbt67aQaWHdenyNZo5N5XzIoWwcBZzCpA1qqio0J+yJISwTFKSQgihQKYxQgihQEpSCCEUSEkKIYQCKUkhhFAgJSmEEAqkJIUQQoGUpBBCKJCSFEIIBVKSQgihQEpSCCEUSEkKIYQCKUkhhFAgJSmEEAqkJIUQQoGUpBBCKJCSFEIIBVKSQgihQEpSCCEUSEkKIYQCKUkhhFAgJSmEEAqkJIUQQoGUpBBCKJCSFEIIBVKSQgihQEpSCCEUSEkKIYSC/wcwrZrYq//DoAAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 417.879x204.68 with 1 Axes>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cir = QuantumCircuit(2)\n",
"intial_state = [1,0]\n",
"intial_con = [0,1]\n",
"cir.initialize(intial_con, 0)\n",
"cir.initialize(intial_state, 1)\n",
"cir.cx(0,1)\n",
"cir.measure_all()\n",
"cir.draw()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "5e4233b1",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 504x360 with 1 Axes>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"simulator = Aer.get_backend('qasm_simulator')\n",
"result = execute(cir, backend = simulator).result()\n",
"plot_histogram(result.get_counts(cir))"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "beff334c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'Exercise 5:'"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"\"Exercise 5:\""
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "7328d74e",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<qiskit.circuit.instructionset.InstructionSet at 0x7f35dd766280>"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cir1 = QuantumCircuit(3)\n",
"cir1.ccx(0,1,2)"
]
},
{
"cell_type": "code",
"execution_count": 37,
"id": "654d4146",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[1.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j]\n",
" [0.+0.j 1.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j]\n",
" [0.+0.j 0.+0.j 1.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j]\n",
" [0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 1.+0.j]\n",
" [0.+0.j 0.+0.j 0.+0.j 0.+0.j 1.+0.j 0.+0.j 0.+0.j 0.+0.j]\n",
" [0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 1.+0.j 0.+0.j 0.+0.j]\n",
" [0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 1.+0.j 0.+0.j]\n",
" [0.+0.j 0.+0.j 0.+0.j 1.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j]]\n"
]
}
],
"source": [
"simulator = Aer.get_backend('unitary_simulator')\n",
"result = execute(cir1, backend = simulator).result()\n",
"unitary = result.get_unitary()\n",
"print(unitary)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "9adb2394",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 504x360 with 1 Axes>"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"simulator = Aer.get_backend('qasm_simulator')\n",
"result = execute(cir, backend = simulator).result()\n",
"plot_histogram(result.get_counts(cir))"
]
},
{
"cell_type": "code",
"execution_count": 34,
"id": "1069b6a0",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<qiskit.circuit.instructionset.InstructionSet at 0x7f35dd537730>"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cir2 = QuantumCircuit(3)\n",
"cir2.h(2)\n",
"cir2.cx(1,2)\n",
"cir2.tdg(2)\n",
"cir2.cx(0,2)\n",
"cir2.t(2)\n",
"cir2.cx(1,2)\n",
"cir2.tdg(2)\n",
"cir2.cx(0,2)\n",
"cir2.t(2)\n",
"cir2.tdg(1)\n",
"cir2.cx(0,1)\n",
"cir2.h(2)\n",
"cir2.tdg(1)\n",
"cir2.cx(0,1)\n",
"cir2.t(0)\n",
"cir2.s(1)\n"
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "20d56d30",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[ 1.00000000e+00+5.55111512e-17j 0.00000000e+00+0.00000000e+00j\n",
" 0.00000000e+00+0.00000000e+00j 0.00000000e+00+0.00000000e+00j\n",
" 1.38777878e-16-5.55111512e-17j 0.00000000e+00+0.00000000e+00j\n",
" 0.00000000e+00+0.00000000e+00j 0.00000000e+00+0.00000000e+00j]\n",
" [ 0.00000000e+00+0.00000000e+00j 1.00000000e+00+5.55111512e-17j\n",
" 0.00000000e+00+0.00000000e+00j 0.00000000e+00+0.00000000e+00j\n",
" 0.00000000e+00+0.00000000e+00j -5.55111512e-17-8.32667268e-17j\n",
" 0.00000000e+00+0.00000000e+00j 0.00000000e+00+0.00000000e+00j]\n",
" [ 0.00000000e+00+0.00000000e+00j 0.00000000e+00+0.00000000e+00j\n",
" 1.00000000e+00+5.55111512e-17j 0.00000000e+00+0.00000000e+00j\n",
" 0.00000000e+00+0.00000000e+00j 0.00000000e+00+0.00000000e+00j\n",
" -5.55111512e-17-8.32667268e-17j 0.00000000e+00+0.00000000e+00j]\n",
" [ 0.00000000e+00+0.00000000e+00j 0.00000000e+00+0.00000000e+00j\n",
" 0.00000000e+00+0.00000000e+00j 8.32667268e-17-5.55111512e-17j\n",
" 0.00000000e+00+0.00000000e+00j 0.00000000e+00+0.00000000e+00j\n",
" 0.00000000e+00+0.00000000e+00j 1.00000000e+00-8.32667268e-17j]\n",
" [ 1.38777878e-16-1.38777878e-16j 0.00000000e+00+0.00000000e+00j\n",
" 0.00000000e+00+0.00000000e+00j 0.00000000e+00+0.00000000e+00j\n",
" 1.00000000e+00-1.66533454e-16j 0.00000000e+00+0.00000000e+00j\n",
" 0.00000000e+00+0.00000000e+00j 0.00000000e+00+0.00000000e+00j]\n",
" [ 0.00000000e+00+0.00000000e+00j -5.55111512e-17-1.38777878e-16j\n",
" 0.00000000e+00+0.00000000e+00j 0.00000000e+00+0.00000000e+00j\n",
" 0.00000000e+00+0.00000000e+00j 1.00000000e+00-1.94289029e-16j\n",
" 0.00000000e+00+0.00000000e+00j 0.00000000e+00+0.00000000e+00j]\n",
" [ 0.00000000e+00+0.00000000e+00j 0.00000000e+00+0.00000000e+00j\n",
" -5.55111512e-17-1.38777878e-16j 0.00000000e+00+0.00000000e+00j\n",
" 0.00000000e+00+0.00000000e+00j 0.00000000e+00+0.00000000e+00j\n",
" 1.00000000e+00-1.94289029e-16j 0.00000000e+00+0.00000000e+00j]\n",
" [ 0.00000000e+00+0.00000000e+00j 0.00000000e+00+0.00000000e+00j\n",
" 0.00000000e+00+0.00000000e+00j 1.00000000e+00-5.55111512e-17j\n",
" 0.00000000e+00+0.00000000e+00j 0.00000000e+00+0.00000000e+00j\n",
" 0.00000000e+00+0.00000000e+00j -2.77555756e-16-1.94289029e-16j]]\n"
]
}
],
"source": [
"simulator = Aer.get_backend('unitary_simulator')\n",
"result = execute(cir2, backend = simulator).result()\n",
"unitary = result.get_unitary()\n",
"print(unitary)"
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "efafbdb5",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA/0AAAEDCAYAAABnOGQgAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8rg+JYAAAACXBIWXMAAAsTAAALEwEAmpwYAABJmUlEQVR4nO3deVhUdf//8dewoyAuKKiIirsI4Va5glppolneatat3ZZkmZaWvzv1Wy5t3tmiZovLXdpim3tmWloJZVpqZqm55wJlijsqLiy/P+YGRYEZ9MycmeH5uC4uhzOfOefN8c3ymnPO51hyc3NzBQAAAAAAPI6X2QUAAAAAAADHIPQDAAAAAOChCP0AAAAAAHgoQj8AAAAAAB6K0A8AAAAAgIci9AMAAAAA4KEI/QAAAAAAeChCPwAAAAAAHorQDwAAAACAhyL0AwAAAADgoQj9AAAAAAB4KEI/AAAAAAAeitAPAAAAAICHIvQDAAAAAOChCP0AAAAAAHgoQj8AAAAAAB6K0A8AAAAAgIci9AMAAAAA4KEI/QAAAAAAeCgfswsAAACA+9m+fbvNMW+88YaGDh1a7JiGDRsaVRJw3ehreCKO9AMAAMAh3nzzTbNLAAxHX8PdEPoBAAAAAPBQhH4AAAAAADwUoR8AAAAOMX/+fLNLAAxHX8PdEPoBAAAAAPBQhH4AAAA4RK9evcwuATAcfQ13wy37AAAAnGDHt1LGYedvN7iK1KCj87drpuHDh2vTpk1O325cXJymTJni9O2idKCvca0I/QAAAE6QcVg6kWZ2FaXDpk2blJKSYnYZgKHoa1wrTu8HAACAQwwZMsTsEgDD0ddwN4R+AAAAOMTQoUPNLgEwHH0Nd0PoBwAAgEO0b9/e7BIAw9HXcDeEfgAAADhEenq62SUAhqOv4W4I/QAAAAAAeChCPwAAAByicePGZpcAGI6+hrsh9AMAAMAhFixYYHYJdvPy8lJUVJRiYmJUr149+fgUf2frNm3aqGbNmk6qDq7Enfraz89P9evXV5MmTVSrVi1ZLJZix/fo0UNly5Z1UnVwFkI/AAAAHGLs2LFml1CsoKAgPfTQQ0pJSdHJkye1Z88e/fbbb9q5c6cyMjL0008/acSIEapYsWKB17Vv315fffWVkpOTVaVKFZOqh1lcva/DwsL01FNP6eeff1ZGRoZ27NihzZs3a+/evTp+/Li+/vpr3XfffQoICCjwukGDBmnx4sX64osv5O3tbVL1cARCP1BK/Xlc+n6HlLJd2psu5eaaXRFwfXJzpZ1/W3t69U7p8CmzK7LPyUxp7W4peZu0OVXKzjG7Is919LS1N5K3S9v+knLY1w43b948s0soUlJSklJTUzV9+nS1b99eQUFBSktLyw9HAQEBuvHGG/XKK68oLS1No0ePlre3t9q3b69ly5apbNmyWrVqlY4cOWL2lwInc9W+9vPz04QJE5Samqrnn39ezZo1k4+Pj/bs2aMtW7bo4MGDCgkJUadOnfTee+9p//796tu3ryRr4J8xY4YkadGiRcrOzjbzS4HBij9vqZTLycnRpEmTNGPGDKWmpqpBgwaaOnWqBg0apPj4eM2cOdPsEoESO5IhfbhG2nvF3yjVykv3tpIiKhb6MsCl7T4kffKjdOR0weUNq0r/bCUFB5pTV3EuZEnz10sb9ko5l73pFhQg3dVMal7bvNo8zZnz1v7YnFZweYUyUp+bpEbVzKnLlu5PBeU/vph1XpLk6+Ofv+zzF05f9RrYFhQUpE8++USJiYmSpB9++EFvvfWWVqxYUSDAh4SEKD4+Xg8//LBuv/12TZgwQf369VOtWrVUpkwZzZ49W0lJScrh3SO4gJo1a2rp0qVq0qSJcnJytGjRIs2cOVOrV6/W6dOXflaEhYWpa9euGjJkiJo3b66PP/5Yjz/+uG688UZJ0vDhw/Xaa6+Z9WXAQQj9xRg4cKAWLlyoMWPGqHnz5lqzZo3uuecepaen64knnjC7PKDETpyVXlshnT539XMHT0ivr5Qe7yKFhzi9NOCa7U2Xpn1b+FHbHQelqf/r6zJ+zq+tKNk50tsp1jMTrnT6nPTBGilXUguC/3U7nyW99Y317KYrnTgrzUyWHupgfYPI1Vwe6l+dl6Ts7Cw92fdd8wryAIGBgVq2bJnatWuno0ePasiQIfr0008LHXvy5EktWbJES5YsUadOnTRnzpz8Cdw+/vhjAj9cRo0aNfTdd98pMjJSO3bs0P3336+1a9cWOvbQoUOaPXt2/ptWU6dOzQ/8I0aMIPB7KEJ/ET7++GO9++67Sk5OVnx8vCSpQ4cO2rhxoxYuXKhmzZqZXCFQcl9vlTIKCfySNWBcyJKW/So90N6pZQHXZfHP1sBf2BUquZLSM6yndN/WxNmVFW1LWuGB/3KLfpbiIiUfLqu8Luv2FB74JWt/WHKlhRuk0d0kG/Nb4RqkpKSYXUIBkyZNUrt27ZSWlqaEhATt2bPHrtddvHhRwcHB+Z+HhIQQ+EsxV+prLy8vffrpp4qMjNSaNWt0++2369Qp+65v8/LyUmDgpVPhKlSo4KgyYTKu6S/ChAkT1KVLl/zAn6du3bry9fVVbGysJGnfvn2Kj49X/fr1FRMTo++//96McgGbLmZL6/4ofkyurKe/ZmQ6pSTguh08Ie0/Wnjgv9wPO51Rjf3W7LIdMM+cl7b86Zx6PNkPu6TidnWurPM/7E13VkWly9atW80uIV+HDh308MMP68KFC+ratavdgf/ya/g//fRTHT9+XF27dtW//vUvB1cMV+VKff3444+rVatWSktLU2Jiot2B//Jr+KdOnaqcnByNGjVKTZs2dWS5MAlH+guRlpamLVu26PHHH7/quQMHDig6Olr+/tZr6h566CHdfffdeuSRR7RmzRr17t1be/fulZ+f7fNIbd0yAzBScKUaeuC1AzbH5eZK9WJu0qE965xQFXB9opr3UPfHF9scdzJT8vbxVU52luOLssP9k/eqXOVaNsc9OHSUNnw+0fEFebAhszLl4xdgc1y3Xv/Stu/fd2gtrzy8SjfUSXDoNgqTkpKslvd0MHy9hf2ddKXJkyfbHDd58mSjSipW3ozrzz33nDZv3mzXay4P/HmnQ/fr10/vvfeexowZo/fff1+5l82Em5KSwt93bs6d+trf31+jRo2SZA3xJ06csOt1lwf+vGv4c3NzNWzYMP3f//2fevfuXWA8fe26cu2ciZsj/YVIS7PO9BMeHl5geWZmplJSUvJP7T9y5IhWr16tgQMHSpJat26tatWqadWqVc4tGLDDxfNn7R6bVYKxgJmyzp+xa1x21kWXCfySdPH8abt+UZfk+xaFy7pg3z5kX3u2Ro0aKSEhQRkZGZoyZYpdryks8Ofk5GjOnDnat2+f6tSpo9tuu82xhQPF6N27t0JDQ7Vx40YtX77crtcUFvglaeLEibp48aLuvPNOVavmorOb4ppxpL8QoaGhkqSdO3eqa9eu+ctfeuklHTx4UM2bN5dkPeofFhaWf9RfkmrXrq39+/fbtR1735kBjDLlq/+dCl1M61UqKx0+sFlevKELN3AhSxq7UDp3segxFknNonxd6mfusl+lFVtsj/tmwVRVCprq+II82Cc/Sj/tKf4SEB9v6dfv5zl8sscNn0gn0myPM1p8fIJypxnf/9u3b7c5ZvLkyRo0aFCxYyZNmmRUSfkSEhIKXHfduXNnSdL8+fMLzGRelKICv2S9u9N7772ncePGqXPnzvrqq6/yXxcfH6/k5GRjvxg4lTv29ezZs+16fVGBX5IOHjyoL7/8Ut27d1fHjh01Z86c/Ofoa/fHkf5CREVFKTY2VhMmTND777+vb775RoMHD9asWbMkKT/0A+6mY+PiA78kdWgsAj/chp+P1L5B8WNyJSU0dEo5dmtdT/L1Lv5a8xtqSJWCihkAu7RvYHv+hFZ1XevuDp7kmWeeMbsESZf+ditqRvPLFRf48+Sth78JSyd37OviAn+eH3/8scB64TkI/YXw8vLSvHnzFB0drcGDB+v+++9XaGiohgwZIm9v7/xJ/CIjI3Xo0CGdP38+/7V79+5VzZo1zSodKFZsDSnxBuvjy/8GznvcvoHUpp6zqwKuT+cYqWmk9fHl4c7yv4++N0m1K5tRWdHKl5GS4q+emT+v/Jqh0j2tnF6WR6pWQerX+uo3M/M+bVxN6sG8VQ7Tp08fs0uQpPy/zXbs2FHsOHsC/+Xr4W++0slV+joy0vrLz1Zf2xP4L18Pfe15OL2/CPXr17/q2vz+/furcePG+be2CA0NVZs2bfTOO+/kT+T3559/qkMH4yfLAYxyaxOpXrj1FmYb9lqXxdSQ2taX6oVxyyq4H28vqX9bqcWf0upd0ra/rMtb1ZPa1rOGPlfUoKr1NnFrdltvpylJtSpLretKTWtyqz4jNaslVa9ovYvDd//727heuPVNzpgIycsNDoGM6P222SVck0aNGmnbtm1ml6F77rlHISEh2rdvX7Hj2rdvbzPwS9b5n5o0aWLXpQLwPK7S1zfccIMCAgJ05kzx89t06dJFUvGBX5JWrlypxo0b6/jxIu5zCrdF6C+BDRs26Oabby6wbPr06RowYICmTJkiPz8/ffzxx3bN3A+YqVao9SMv9D/Q3tx6gOvlZZGiI6wfwz+0Lutzo7k12aNikNQt7lLoH8acYA4TVk7q2eJS6H+kk7n1wLn+/PNP/fmn7XtgPv/889q6das+++yzIgO/JGVlZbnUbdtQOtl728m7775bXbp00eeff17suFOnTtl9yz+4F0K/nU6fPq2dO3fqkUceKbA8KipK3333nUlVAQAAwEiLFi0yuwTAUBcvXrQZ+OHZCP12CgoKUnZ2ttllAAAAuI2EhASzSwAMR1/D3bjBVWwAAABwR9OmTTO7BMBw9DXcDaEfAAAADjF48GCzSwAMR1/D3RD6AQAA4BDJyclmlwAYjr6GuyH0AwAAAADgoQj9AAAAAAB4KEI/AAAAHGLbtm1mlwAYjr6Gu+GWfQAAAE4QXKV0bVeS5s6dqz59+jh9u3FxcSV+zR8HDkqSoiKrFnjs6O3C/dDXcDeEfgAAACdo0NHsCpxv3LhxpoSjKVOmlPg1oybOlCS9OHJQgcfAlehruBtO7wcAAAAAwEMR+gEAAAAA8FCEfgAAADjEW2+9ZXYJgOHoa7gbQj8AAAAcIjo62uwSAMPR13A3hH4AAAA4RHx8vNklAIajr+FuCP0AAAAAAHgoQj8AAAAcomXLlmaXABiOvoa7IfQDAADAIdavX292CYDh6Gu4G0I/AAAAAAAeitAPAAAAAICHIvQDAADAIebPn292CYDh6Gu4G0I/AAAAAAAeitAPAAAAh+jVq5fZJQCGo6/hbnzMLgAA4Fg7vpUyDjt/u8FVpAYdnb9dlIxZ/SGVvh5ZuEH687jzt1u9gtSzhfO3i5IZPny4Nm3aZMq24+LiNGXKFFO2Dc9GX7sGQj8AeLiMw9KJNLOrgKuiP5znz+PSHpPeYIHr27Rpk1JSUswuAzAUfe0aOL0fAAAADjFkyBCzSwAMR1/D3RD6AQAA4BBDhw41uwTAcPQ13A2hHwAAE2VlX3p88qyUm2teLZ7uQtalxxnnzKujNGnfvr3ZJQCGo6/hbrimHwAAJzuZKa3dLW1Nk/46cWn5uEVSWX+pZiXpxjpSTITkzdvz1+XoaWnNLmnbX9LfJy8tH7NAKhco1QqVbq4jNawmeVnMq9NTpaenm10CYDj6Gu6G0A8AgJNcyJKW/yalbJdyijiif+a89Ptf1o/yZaQ+N0qNqzu3Tk+QeUH6bKP00x6pqJMnTmVKv6VaP6qUk/reJEVVcWqZAAA4HMcPAABwgvRT0ivLpVXbig78VzpxVpqZLM1fJ+XkOLQ8j5J6VJr4hfRjMYH/SodPSa+vtL4pwyUWxmncuLHZJQCGo6/hbgj9AAA42JEMaepKa7C8Fqt3SR+utf/NgtIs9Zj05jfWN0xKKlfSV5ulJb8Q/I2yYMECs0vAFXx9fc0uwe3R166Hvi4eoR8AYJe/j+3TS58MMLsMt5OVLc36rviJ46b80/pRnJ/3Sd9tN7Q0w5ndI+cuSu+kWP8tij37etU26Zf9xtZWWo0dO9bsEjxWdHS0hg4dqlmzZmn58uX68ssvNXv2bD366KNq0qRJoa+58847tXXrVtWsWdPJ1XoW+tpx2rRpoyeffFIfffSRvvrqKy1btkxvvfWWBg4cqBo1ahT6mjFjxujrr79W2bJlnVyt++Cafrik3FzJwoRK8CB5Rw3p69Jn5daCk/Vdj6W/StHVpcrljFmfp/ls47Ud4S/M/PVSvXApOMCY9ZVW8+bN07PPPmt2GR4lMTFRo0aNUtu2bQt9fsCAAZKkNWvWaOLEiVqyZIkka+CfO3eufH19dffdd+ull15yVskeh742lpeXlx588EENHz5cDRs2LHJcdna2li5dqueee04///yzJGvgf/bZZ5Wdna22bdvqq6++clbZboXQb0NOTo4mTZqkGTNmKDU1VQ0aNNDUqVM1aNAgxcfHa+bMmWaX6DF2/m2d3GrHQSk7VwoPkdrVl26Mkny8za4OKLmcXGnjPun7HdZTji2yThLWroF1VnZ3egPgjcWPakfqeh06tk8jpiXooe6vqn5Ec7PLcnnnLkrJ24xbX1a29M3vUt+bjVunUczukeNnpB93G7e+sxes37tdbzBuncD1KF++vN544w3985/WU1VOnTqlRYsWad26ddq7d69yc3NVu3ZttWzZUnfddZdat26tzz77TJ988om++OILzZo1S76+vpo4cSKBHy6jTp06evfdd/PfxEpLS9Nnn32mDRs26ODBg/Lx8VHDhg3VqlUrde/eXT169FC3bt300ksv6fz58xo/fryys7N13333EfiLQei3YeDAgVq4cKHGjBmj5s2ba82aNbrnnnuUnp6uJ554wuzyPMbKLdIXv1pDUN4R0b9PSHPXWU+xfDBB8qNb4Uayc6QPfpA2HbCG/bzLg3cflnYdsr6h1bOFawT/7k8F5T++mHVekuTr45+/7PMXTmvona/r72P79P6K8Xqy77vOLtFtbdgrnc+yPa4kft4n3dFMKuNn7HqL4w49sna3/ZP2lWSdnWPMvW3iycN/aPUnI/XXju918dxp+ZetoLDaLXT7o5/K28eJTQBTVa5cWd98841iYmJ09uxZjR07VtOnT9eZM2euGjtt2jQNHTpUgwYN0nPPPae+ffvq7rvvlsVi0cSJEzVq1CgTvgLgarGxsfr6669VuXJlHTx4UI8//rjmz5+v7OzsAuO++OILSVKVKlU0cuRIDR8+XKNHj5ak/MD/0UcfOb1+d0KMKsbHH3+sd999V8nJyYqPj5ckdejQQRs3btTChQvVrFkzkyv0DNsPWgO/VHDipLyHuw5JSzdZAxLgLlZtswZ+qWAQyevx73dKNSpZz2Qx2+cvnM5//Oq8JGVnZxHsDbLtL+PXeTFb+uOw1CTC+HUXxR16xBH7OuOc9OdxKbKS8eu212cvd1VkzG267+Ud8gssp9PH/tTeTUuV6yYzDaakpJhdgtvz9fXVsmXLFBMTo23btql79+7as2dPsa85e/aspkyZoszMTE2bNk0Wi0WHDh3SuHHjnFS1Z6Ovr1+1atW0YsUKVa5cWcuXL9c///lPHT9+vNjXHD58WCNGjFC5cuWUlJQkSfrxxx8J/HZgIr9iTJgwQV26dMkP/Hnq1q0rX19fxcbGSrJO5lG/fn15eXlp/vz5ZpTq1lK2W4+EFmft7uInZgJcSXaOta+LY5H1tG83+bsd1yjtmGPWm+qg9bqrrGzj5k24kpn7OjPjqI4f3KGYTg/Lv0yILBaLgitFKLbTw/Lx9be9AhewdetWs0twe2PGjFGLFi30xx9/KCEhwWbgz3PnnXfq9ddfl8Vi0bFjxxQWFkboNwh9ff1mzpypsLAwffPNN7rzzjttBv48Y8aMUVJSkrKzs3Xu3Dm1adNGvXr1cnC17o8j/UVIS0vTli1b9Pjjj1/13IEDBxQdHS1/f+sv3C5dumjAgAF64IEHSrQNiyuc12s2i0WPvndBXl7Ft+LFbKlhi9u1/7cvnVRY6TBsjjVx0ovGCo2M1T8n/FrsmFxZQ0pQ+TCdPXXYofW88vAq3VAnwaHbKExKSrJa3tPB6dt1lb62eHnrsfcLnttva9b4op4f/mHBzye/+a66zrz/Oqq7xKz+kIzrkaCKERo4NbXAMqP29ZNP/0dr5v7fdVR3yT+eWqWIRgl2jw8MrqRKEdH65u0kxXR8WFWiWqhitUYl7u2UlGQ9dpvx34uF/Y10pcmTJ9scN3nyZKNKui4jX5whyfqz4/LHZqpZs6ZGjx6tnJwc/etf/9Lhw/b9vrh80r6JEydq8eLFWr16tZ588km98847V71xkJKSYvrX6iroa8fr1q2bEhMTdfz4cfXv318XLlyw63WXT9p33333KTg4WNOnT9frr7+uJUuWXLWe0tDX9p71xZH+IqSlpUmSwsPDCyzPzMxUSkpKgVP7W7duragoFzhH1w1ZLF42A38erl2EuyhJr3q5UV/7+QQoskrRs+qiIC8vx81AarG45q9vs3rE4sH7+h9PJat6wwT98uUUffR/cfrvkDD9tOg5tzm9H9fnoYceko+Pjz7++GOtXr3artdcGfhHjRqlH3/8UR988IG8vb318MMPO7hqoHhDhw6VJD3//PM6ePCgXa+5MvB/9NFHmjFjhn799VeFh4erZ8+ejizZ7XGkvwihoaGSpJ07d6pr1675y1966SUdPHhQzZtf/4zE/MK2en6JdDTD9gRMP676jNtUGSzviBa9aKwz56UxC6yz9xcn0E86fjjV4Xen2PCJdCLt+tdTsVy4+na0fwKo+PgE5U5zfm+5Sl/n5koj50oXLjvYf+VR5Dx5R52Lev5KDyXdp6+m33d9Bf6PUf0hmdcjmRek0fMKLjNqX48fM1K3fDLy2ou7zOsrpT0lPLEnMDhUbe6eoDZ3T9DF82e166e5+uadBxVUsbqi4+07wzA+PkHznzf++2H7dhvXMcl6tHPQoEHFjpk0aZJRJV2XUROtd2TKzc0t8NhZEhISrrpWvH///pKkN9980651FBb487z55psaMGCA+vfvr3//+98FXhcfH6/k5OTr+wI8BH1trCv7OiwsTJ07d1ZmZqZmzZpl1zoKC/x53nrrLc2YMUP33XefPvnkkwKvo68vcc1DBS4gKipKsbGxmjBhgt5//3198803Gjx4cH5zGhH6YdW2fvGB3yKpXhj3pYb7KOsvNatpe66KVnW5HaUns1ik6hUcs+6Iio5Zr7sK9JMqBdkedy1caV/7+pdR4/YDFFojVun7N5ldjl2eeeYZs0twW1WrVlVERIROnDihtWvX2hxfXOCXpA0bNujIkSMKCwtTZGSko8ouFejra9eihXVm7rVr1+rEiRM2xxcX+CVp+fLlkqSWLVsaXqsnIfQXwcvLS/PmzVN0dLQGDx6s+++/X6GhoRoyZIi8vb3zJ/HD9Wtdt+iZkS0W6636mLkf7iYxTgoKKDz4WySFBkudGju5KDhd7coOWm+oY9brzhyxr729pBomhv5zZ47rh09H60jqFmVnXVROdpZ2rVugo2lbVL1BO/MKK4E+ffqYXYLbiomJkSRt2rTJ5lhbgT/PL7/8UmDduDb09bXL6728XiyOrcAvSampqTp69KhCQ0NVtWpVw+v1FJzeX4z69etr1apVBZb1799fjRs3VmBgoElVeR4/H+mRTtKin633tM7OufRc7VCpV0upannTygOuSYWy0vDO0rx11ttS5rFYpNga1r4u6x6Tb+M63FRH+vZ3Y9dZpwpnPhWmVR3r7xAjxdYw9/vU29tPZ08d1hev9dSZEwfl5eWjcpVrKb7/VNW7qbd5hZVAo0aNtG3bNrPLcEuHDh3SzJkztWXLlmLHNWrUyK7AL0mLFy/W3r177b6OGoWjr6/dli1b9N///tfmbQ979+5tM/DnefvttxUSEqKsrKwix5R2hP4S2rBhg26++eYCy8aMGaPZs2crPT1dmzdv1vDhw5WSkqI6deqYVKX7CfCV7rlZuqOp9NT/7no4qpsUHmJuXcD1qBQkPdxROpJhnbtCksbfKYWUMbWsYo3o/bbZJXiUsHJS42rS7wbeQz7e5LkUXbVHoqpYT8U38jaJZu9r34CyuvXBd8wtAqb59ddf9dBDD9kct23bNr344ovy8/MrNvBL1uufATMtXbpUS5cutTlu8eLFWrBggRYuXFhs4Jdks+9B6C+R06dPa+fOnXrkkUcKLH/uuef03HPPmVSVZ7n8iAqBH54iNPjSY1cO/HCMf7SU9nwhnTfgAERsDSkm4vrX44ksFqnvTdKkL21PommPtvWkWlxGATcxduxYs0sADHXx4kX16tXL7DI8BqG/BIKCgpSdnW12GQAAN1IpSOp9ozRnTdFj7JlJvmJZqXdLa7hF4SIqSt2bSp9tLHqMPfu6WgXrenD9EhISzC4BMBx9DXfDRH4AADhYi9pSnxtt39GhKJWCrHOfBDOdjE0dGkm3X8dcu9XKS4M7Sv6+hpVUqk2bNs3sEgDD0ddwN4R+AACcoHU9aegtUmgJby3Xopb0RJeCl4mgeJ1jpKR4qVwJ3yRp10Aa1lkKDnBMXaXR4MGDzS4BMBx9DXfD6f0AADhJnTDpyUTppz3S6p3SoVOFj/OySE0irCG0Xphza/QUTSKkqMrSmt3Sml3SsTOFj/P2kppGSu0bFn37WFy75ORks0sADEdfw90Q+gEAcCI/H2uYb1tfSs+QUo9Z7/CQnWO9k0n1CtZr07ml4/Ur4y/dEi11bGR9gyX1mHTstHWivzJ+UvWKUo2K1v0OAICnIvQDAGACi0WqUs76Acfy8pKqlrd+AABQ2nBNPwAAABxi27ZtZpcAGI6+hrsh9AMAAMAh5s6da3YJgOHoa7gbTu8HAA8XXKV0bRclY+b/U2nrkeoVStd2JWncuHHq06ePeQW4kbi4uGt63R8HDhb4PCqyqtO2XVrR1/a7lt7K6+moyKoFHjtj256K0A8AHq5BR7MrgCujP5ynZwuzK4ArmzJlyjW9btTEmQU+f3HkIAOqAYxxLX2d19MvjhxU4DGuHaf3AwAAAADgoQj9AAAAcIi33nrL7BIAw9HXcDeEfgAAADhEdHS02SUAhqOv4W4I/QAAAHCI+Ph4s0sADEdfw90Q+gEAAAAA8FCEfgAAAAAAPBShHwAAAA7RsmVLs0sADEdfw90Q+gEAAOAQ69evN7sEwHD0NdwNoR8AAAAAAA9F6AcAAAAAwEMR+gEAAOAQ8+fPN7sEwHD0NdwNoR8AAAAAAA9F6AcAAIBD9OrVy+wSAMPR13A3PmYXANsWbpD+PO787VavIPVs4fztmmnHt1LGYedvN7iK1KCj87drJva187Cvnccd97VZv2Ok0vl7BvA0w4cP16ZNm5y+3bi4OE2ZMsXp24XnM6unJcf1NaHfDfx5XNpjwh+RpVHGYelEmtlVlA7sa+dhXzuPO+5rfscAuB6bNm1SSkqK2WUAhvHEnub0fgAAADjEkCFDzC4BMBx9DXdD6AcAAIBDDB061OwSAMPR13A3nN4Pl3D8jLTzbyn12KVlH66RqleUoipLNSpKFot59XmS9Axp1xX7+uMfpYgKUt0wqWp500rzOAdPSLsPSWmXXS/96U/Wfq4XLlUONq00j5Kba+3nP9KlPy/r6/nrrfu6frhUoax59QGlWfv27fXdd9+ZXQZgKPoa7obQD1MdOCqt2CJtTZNyr3hu/V7rh2Sd7CmhodSiNuH/Wu38W/p6q/XfK/20R/rpf49rh0odG0sxNZxankfZnCp9+7u098jVz63dLa393+P64dKt0dY3AFByubnShr1S8vbCJ6JbvdP6r0VSdIR0WxMpspJTSwRKvfT0dLNLAAxHX8PdEPphiqxsadlv0qrfrw77hfnzuPThWusf+H1v5qhdSZy/KC3eaA2b9th7RHrnOykuUurVUgoKcGx9nuT0OevR5U0H7Bu/82/rR6u60p3NJH9fx9bnSY6fkT75UdpRyJtYV8qVtCXN+uZix8bS7bGSj7fDSwQAAHAJXNMPp7uYLb2dYj0Sak/gv9yOv6UpX0mHTjmkNI9z9oL05jf2B/7LbTogTV0pnTxrfF2e6ORZ6/6yN/Bfbu1u6//T2QvG1+WJDp2y/hywJ/BfLlfSN79bf/5czHZIaQCu0LhxY7NLAAxHX8PdEPrhVLm50pw10vaD176Ok5nStG+sR1Vd2d/H9umlTwaYtv2cHOmdFOslFNfq8Clp+rfShSzj6vJEF7Ks++nwdbwZdeCo9f8rJ8e4uoxmdk9L1u/7ad9Yfw5cq+0HrT+Hckv6riOAEluwYIHZJcAFhYaGql27drr11lvVpk0bVahQodjx/fr1U82aNZ1UnW30NQoTGRmpDh066NZbb1XLli0VGBhY5FiLxaJhw4apbFnnnL5M6IdT/bxP+tXGkdAp/7R+FOfEWWnBBsPK8kjJ223fe9uefX3wpPTFr8bV5Ym++NW6n4pjz77ec9j6/4aiLdhg/f4vjj37+tcD1p9HABxr7NixZpcAFxEVFaWXXnpJ+/fvV3p6ur777jutWLFCq1ev1rFjx7R79249++yzioiIKPC6QYMG6YMPPtCqVaucFpBsoa+Rp2XLlpo9e7bS09O1f/9+ffvtt1qxYoXWrVunjIwMbdy4UY8++qhCQkLyX2OxWPTGG29oypQpTnsDidBvQ05Ojl555RXVq1dPAQEBuuGGG5SSkqIGDRpo0KBBZpfnVi5kSYt+Nm59v+y3zkLvit5Y/Khe+LCvNuz4UiOmJWhnmoFfuB1OZUrLDAzq3223zkSPq/190rp/jLLsV+v/n6sxu6cl6/f7L/uNW9/CDZzFAjjavHnzzC4BJgsMDNSkSZO0a9cu/fvf/1ZkZKROnz6ttWvX5oejzMxM1alTR2PGjNEff/yhZ555Rr6+vho0aJBmzJghSXrttdd05swZk78aK/oa4eHhWrRokdatW6cBAwYoNDRUR44c0XfffaeVK1fqt99+U25urpo2baqpU6dq3759GjBgQH7gf+SRR3Tu3Dm9+uqrTqmXifxsGDhwoBYuXKgxY8aoefPmWrNmje655x6lp6friSeeMLu8Qs1/PkGRTW7RjXc+bddyZ9m4Xzpz3th1fr/T+TOfd38qKP/xxSzrF+Tr45+/7PMXTmvona/r72P79P6K8Xqy77vOLVDSj3ukLANPE8+V9MMu68R+ZrFnv5th9c6Sz01RnKwc6//fbU0MXKkN7tDTkvX73UhnL1h/Lt1cx9j12stVe9oWV/0dA8D11KpVS8uXL1fDhg2VlZWlDz74QNOnT9e6deuUc9n1bN7e3mrbtq0GDx6s3r17a+zYsfrXv/6Vf0r/8OHD9dprr5n1ZQAFtGvXTosWLVKlSpV06tQpzZgxQ++884527NhRYFxAQIC6du2qxx57TPHx8Zo9e7aeeuop1a1bV+fOndMdd9yhlStXOqVmQn8xPv74Y7377rtKTk5WfHy8JKlDhw7auHGjFi5cqGbNmplcoXtZ/4fx69ySJmVekAL9jF93US7/Q/zVeUnKzs4yLQQVxRH7esNeqWcLycukWya64n7P+d8t44y2Ya9zQ78r7tsrZV6wfr8bbcNe80K/O+x3ALhWERERSk5OVs2aNbV161bdd9992rhxY6Fjs7OzlZKSopSUFL355ptasGBBfuB/6qmnCPxwGa1atdKXX36pMmXK6KuvvlJSUpLS0gr/A+XcuXNauHChFi5cqH79+untt99W3bp1lZ2drbvuustpgV/i9P5iTZgwQV26dMkP/Hnq1q0rX19fxcbG6vjx4+rWrZvq16+vG264Qbfddpt2776GqdI9XE6OlHrMAevNldIcsF53dvaClJ5h/HrPXZTSuWtCAemnrPvFaIdPWUMuLkk7Zv1+N1rqUcesF4BVSkqK2SXABBaLRXPmzFHNmjW1du1atW7dusjAf6VGjRqpcuXK+Z83b97cUWVeM/q6dAoJCdG8efNUpkwZzZ49W127di0y8F/OYrGoVatW8vf3V25urry9vZ1+8JjQX4S0tDRt2bJFvXv3vuq5AwcOKDo6Wv7+/rJYLBo+fLh27typX3/9Vd26ddP9999vQsWu7egZx107+9cJx6zXXTny2nuu6y/Ikb3Hvi7IUfv6fJZ0zDXPogc8wtatW80uASZ4+OGHFR8fr0OHDql79+46dcq+owaXX8P/zDPP6NSpU+rZs2ehf4+bib4unV555RVVr15da9as0YMPPljgEpWiXHkN/8iRIyVJ48aNU6NGjRxdcj5O7y9C3rs24eEFLxjPzMxUSkqKbr/9dklS+fLldcstt+Q/37p1a7300kt2bcNise886X88tUoRjRLsGptn3Wcv6OdlrxRYdvHcaUU2uaWIV1wtJSVZj93WoUTbLUpo5A3654RNBZbZml27qOeHf1jw83+PfErrl0y49uIu88rDq3RDnQRD1uXnE6DIKg3tGpuSkqyW9xizr2vGdtGdTy4vsMyoff3P+x7Q79/Nvo7qLjFyX5eEkfu6cfv7deugWQWWGbWvO956u/b/9uV1VHeJUfu6JD0tGbuvW97xf2rd54UCy4za142axOnIAWNmvnTHvjbrd4xk7O8ZON/jjz9uc8zkyZNtjps8ebJRJV2XkS9aw6bFYinw2NXl1ZrH7Jq9vLw0atQoSdLQoUN19Kh99w6+PPDnXcP/999/a9q0aRo9evRVk+elpKQ45Gulr83nijVXq1ZNAwYM0MWLF/XAAw8oOzvb5muuDPx51/DXq1dPDz74oEaMGKGkpKQCrylpX+faef9hjvQXITQ0VJK0c2fBmaNeeuklHTx4sMhTjaZMmaI777zT0eXZdGOPpzR45okCH9XqtzWtnpwsx52rnJ1l8OyABqlYLlx9O45y+nZzskvfvjZLdinb12b1tFT69rWrc7XfMQBcx+23367IyEjt2rXL7tuRFRb4JWnWrFlKT09X06ZNddNNNzmsZsCWpKQk+fj4aNGiRVdN2FeYogK/pPwDxPfee2+BW/k5Ekf6ixAVFaXY2FhNmDBBFStWVPXq1TV//nwtW7ZMUuHXFz3zzDPavXu3vv32W7u2Ye87M6+vtH2/dUeIj0/Q/OeNudj1QpY0am7Ba2evPNqWJ+/oXFHPX+m9Ga+oScQrtgfaYcMn0gkHTBZmS3x8gnKnGbOvT5yVxi8quMyofb1iyYeKrGTnYBs8YV8fOCpNuuJgvFH7evP6b1W+zLXXdjlP2Ndb0qS3r7iE0oh97WWRDh3YJl/v66svjzvua7N+x0jG/p6B823fbvt+pZMnT7Z5i+NJkyYZVdJ1GTVxpiTr32eXP3Z1ebXmcXbNCQkJBa5x79SpkyRpzpw5dtVSVOCXpAsXLuiTTz7Ro48+qk6dOumnn37Kfy4+Pl7JyckGfRWX0NfmM7vmK3tautTXH3zwgc3XFxf4JWn37t364Ycf1KZNm/yJAfM4qq850l8ELy8vzZs3T9HR0Ro8eLDuv/9+hYaGasiQIfL29lZsbGyB8c8//7yWLl2aP5sjCvLzkcLLO2bdERUds153FRIoBQUYv14vi1S1vPHrdWdVyzvmbgbBAdb/R1ziqO/zquVlWOAHcLVnnnnG7BLgZHkHxi4P6EUpLvDnWbduXYH1ugL6unSxWCxq2rSppEv9WNzY4gJ/Hmf3NUf6i1G/fn2tWrWqwLL+/furcePGCgy89Bf5M888o2XLlmnlypUqX768k6t0HzfUkP46buw6a1aSYUdDPYXFYt3XP+wydr3R1QlHV/L1tu6XzQYf2Y2tYf1/xCXly1i/3/fbd2mo3WJrGLs+AAX16dPH7BLgZNWrV5ck7dmzp9hx9gR+Sfl3xapWrZqBVV4f+rp0CQ4OVnBwsDIyMnT4cNGnxtkb+CXn9zWhv4Q2bNigm2++Of/zrVu3avz48apTp44SEhLyl2/atMn5xf1Pr6eTS7TcWW6uK3212djbY7Wpb9y6rsWI3m+bW0AR2tQzPvSbva8v50r7vW1940N/m3rGrq8kXGnfXqlNfWn/WuPW52Wx/lxyBa6836/kqr9j4JoaNWqkbdu2mV0GnCgmJkYBAQE6efJkseMiIiIkFR/4Jevf3hUrVtTZs2cNrfN60Nely6lTpxQUFCR/f/9ix3l7e6tatWo2A79kna/iww8/dFpfE/pL4PTp09q5c6ceeeSR/GXR0dEuf12MqwgJlDo0kr753Zj1RVSUmtcyZl2eploFqWVtaf1eY9bXsKrUINz2uNKofrjUoKq046Ax62sZZf3/w9Wa15K+2y6lGXTGUIdGXEYBAEbLzMxUZmamzXFjx47V8uXLtXZt8e/mZmVl6fhxg08VBUrozJkzOnPmTLFjsrKy1KdPH8XGxurnn38uduy5c+d07tw5I0ssFtf0l0BQUJCys7P16KOPml2K2+oSK4UbMEmlt5d0783Wf1G4u5obE2gCfKW7b+J086JYLFLfm6z76XqFBEp3Nbv+9Xgqby/p3lbGfN+Hh0i3x9oeBwBwHFuBH3A3Fy9etBn4zcCRfjiVr7c0KME6W/TxIs5msTXjtpdF+ldbjobaUsZfeqiD9MbX0tki7nZma1/7eksPxksVyhpfnyepUNa6n6avki4WcdtWW/u6jJ/1/6tM8WeOlXrVKli//9/9vuhLhWzt6/JlrD+HfJijAnC4yy99BDwFfQ13w3FSOF3FIOmx26SaoSV/bXCA9GACk2/Zq1oF676+lrMrKpaVhtwi1Qkzvi5PVCfMur8qXsMbJFVDrP9PvJFln9ga1p8D13KXilqh0rDbrD+HADjetGnTzC4BMBx9DXdD6IcpKpSVht0q9WgmBdlxZNPbS7oxShrVTWrkOpO3uoXwEOn/3S7d1sS+U9B9vaX2DaSRidaABPvVCrXut/YN7LvTQYCv1DlGGnG7MZe9lCaNqkmju1l/Lthzun+Qv/XnzWO3cuYK4EyDBw82uwTAcPQ13A2n98M0Xl7WibTa1Zd+PSBtPyilHpOOn5Fyc62nOUdUlKIqWyelC2bCrWvm4y11vUHqFC39sk/a+bd1X5/KlHJlPYMioqJUt4rUvLb1VHNcG39fqWcL6/wVP++Vdh+W0o5JGecki6RygVKNilK9cKlZLcmfn8LXrKy/9Rr/7nHWSSv/SLfu67PnrXMtVChr3dcNq0o3RHI6P2CG5ORks0sADEdfw93w5yZM5+NtDZrNa5tdiefz97HeosxVblPmycr4Se0aWD/gWMGBUsfGUkezCwEAAHBBnN4PAAAAAICHIvQDAADAIbZt22Z2CYDh6Gu4G07vdwPVTZrR26ztmim4SunarpnY187DvnYed9zXZv6sL42/Z0qbuXPnqk+fPmaXAQeKi4sr8Wv+OHBQkhQVWbXAY0dv1yj0tWe71t5y5b4m9LuBni3MrqD0aMBFwU7DvnYe9rXzuOO+5ncMHGncuHGEIw83ZcqUEr9m1MSZkqQXRw4q8Nhd0Nee7Vp6WnLtvub0fgAAAAAAPBShHwAAAAAAD0XoBwAAgEO89dZbZpcAGI6+hrsh9AMAAMAhoqOjzS4BMBx9DXdD6AcAAIBDxMfHm10CYDj6Gu6G0A8AAAAAgIfiln0AAAAosYYNG9ocM27cOLvGAa6CvoYn4kg/AAAAHGL8+PFmlwAYjr6GuyH0AwAAAADgoQj9AAAAAAB4KEI/AAAAAAAeitAPAAAAAICHIvQDAAAAAOChCP0AAAAAAHgoQj8AAAAAAB6K0O/CbrvtNsXFxSkmJka9evXSqVOnzC4JAAAAhUhOTlZ0dLTq1q2rpKQkZWdnm12STcOGDVNERIR8fHzMLsVuqamp6tSpkxo1aqTo6GiNHj3a7JIAl0fod2Hz5s3Tpk2btHnzZkVERGjSpElmlwQAAIAr5OTkKCkpSfPmzdPu3bt16tQpzZkzx+yybOrdu7c2bNhgdhkl4uPjo4kTJ2rbtm365ZdftHr1an322WdmlwW4NEK/CwsJCZFk/UVy7tw5WSwWkysCAADAldavX69q1aqpcePGkqSBAwdqwYIFJldlW9u2bRUeHm52GSVStWpVtWjRQpLk5+enpk2b6sCBAyZXBbg29zmXp5S666679P333ysmJkavvPKK2eUAAAB4hLOZ5/TXoaNXLd+9789CH1epVF7lgssWuq60tDTVqFEj//PIyEilpqYaWO0lB/46rAsXLhb5/OU1+/n6KLJ6mEPqKImM02d16Mjxq5YXta+rhlVS2cAAm+s9duyYFi9erBUrVhhTKOChCP0ubtGiRbpw4YIGDhyo+fPna8CAAWaXBAAA4Pb8/Hy1LPnHq4L/259+cdXjkOCyenxg7yLXlZub65giC3H46HHNX5ZS5POX19+zS3uXCP2+vj5a8OV3On4yo8DywvZ1eOWKGnrfXTbXeeHCBfXq1UvDhg1Tw4YNjS0Y8DCc3u8G/Pz81LdvXy1atMjsUgAAADyCj7e37u7WUT7e3jbH9knsoAB/vyKfr1GjRoEj+wcOHFBERIQhdV6peZP6iq5fy+a4RnUj1TK2gUNqKKkAfz/1SUyQrQtVvb29dHe3DvLxKf7/JDs7W/fee6/i4uI0YsQI4woFPBSh30VlZGTo4MGDkqzX9C9ZskTR0dEmVwUAAOA5wkIrqEv8jcWOadsiRnVqVit2TIsWLZSWlqbff/9dkvTOO++oZ8+ehtV5OYvFors6t1NQ2cAix5QtE6CeXdq71HxQtWtUVfubbih2zG3tWqpqlUo21zVo0CAFBwfr1VdfNao8wKMR+l1URkaG7rjjDsXGxio2NlZZWVl6+umnzS4LAADAo7Ru0aTIUF+lUgV1jm9pcx3e3t56++231atXL9WpU0dBQUHq37+/0aXmCyoTqH90aV/k8z07t1dw2TI21/PQQw8pIiJC2dnZioiI0JAhQ4ws8yq3tm2h8MoVC32udo2qatcyxuY6fvjhB82aNUsbNmxQ06ZNFRcXp6lTpxpdKuBRuKbfRVWrVk3r168v9Lk/Ug8qIixUfn6+Tq4KAADAs3hZLOrdNUFTZs3XufMX8pd7e3np7u4d5GvnPew7duyYf6TfGRrVrakbb2iodb9uL7C8eYx9p/9L0owZMxxQWdF8fLzVt3tHvf7eQmVn5+Qv9/fzVe/EBHl52T4e2aZNG6fOoQB4Ao70u5nTZzM1e95yLf12rdmlAAAAeITy5YLU49Y2BZbd0ra5qoeFmlSRfRI7tlKl8uXyP68QEqzunVqbWJFt4ZUr6rZ2Bc+e6H5La1UMCTapIsDzuV3oHz9+vCwWi7Zs2aLExEQFBQWpatWqevnllyVJy5cvV7NmzVSmTBk1bdpUq1evLvD6NWvWqHPnzgoJCVFgYKDatWt31ZgNGzaoT58+ioyMVGBgoOrWratHH31UJ0+eLDBu9+7d6tWrl8LDw+Xv76/q1avrjjvu0NGjV9/+xSjfr/tNWRez1LZlrMO2AQAAUNrENa6rmAZRkqSa1cMUb+P6c1fg7+drnSDPYpFFUu/EhGInHHQV7VrGqHaNqpKk6Pq11LxJfZMrAjyb24X+PL1791bHjh21ePFi3XrrrXryySc1atQo/fvf/9aTTz6pefPmKTc3Vz169FBGhvX2ICtWrFBCgvUH4+zZszV//nwFBwerU6dOBU6l37dvn2JiYvTGG2/oyy+/1OjRo7V8+XJ17dq1QA2JiYnav3+/Xn/9da1cuVKTJ09WWFiYMjMzHfI1nz6bqTUbt+qGxnVVpVJ5h2wDAACgNLJYLLqzc1uFVghRn8QOdp1q7gpqRoQr4eYb1O7GWEX9L0i7Oi8vL/VOTFBohRDd1bmdS004CHgiS66bXRQzfvx4PfPMM5o2bZoefvhhSdL58+cVFhams2fPaufOnapVq5Yk6dtvv1WnTp00f/58/eMf/1D9+vUVGhqq1atX5/8gz8rKUpMmTRQVFaVly5YVus2srCytXbtW7du31y+//KK4uDgdOXJElStX1uLFi9WjR49r+lpGTZx5Ta8DAAAAAJRuL44cZNc493gLsxCXH3X39/dXVFSUGjVqlB/4Jalhw4aSpNTUVO3evVu7du1Sv379lJOTo6ysLGVlZUmSbrnlFqWkpOS/7vTp03r66adVr149BQQEyNfXV+3bW2dI3bFjhySpUqVKioqK0qhRozRz5kxt315wEhUAAAAAAMzmtrP3V6xY8HYffn5+CggIuGqZJJ07d06HDh2SJA0ZMqTI25FkZmYqMDBQDzzwgJYvX67x48erWbNmCg4OVmpqqnr27Jl/6r7FYtHXX3+tZ599Vk8//bTS09Pzb3UycuRIu05TsvedGUlanvyTvlv3mx4f2JtT+wEAAADYlHdm8YsjBxV47MrcsWbJtet229BfUpUqVZJkvTwgMTGx0DH+/v46d+6cFi1apLFjx2rEiBH5z105iZ8k1a5dW7Nnz1Zubq62bt2qWbNmafTo0QoNDVVSUpLNmq7l9P5Jb88t8WsAAAAAlF6X5w53ucTYHWuWnFu3vW8qlJrQ36BBA0VFRWnz5s0aN25ckePOnz+vrKws+fr6Flg+a9asIl9jsVjUpEkTTZo0SdOnT9fmzZsNqxsAAAAAgGtVakK/xWLR9OnTlZiYqB49eqhfv36qUqWK0tPTtXHjRl28eFEvv/yyQkJC1Lp1a73yyisKCwtTtWrVNHfuXP30008F1vfbb7/pscceU58+fVSvXj1J0rx585SZmanOnTvbVZM978ycPpupidM/VnS9WurbvWPJv3AAAAAApZIrn3JeFHesWXLtuktN6JekW2+9VWvWrNELL7ygwYMHKyMjQ1WqVFGzZs304IMP5o/76KOPNHToUA0fPlze3t7q1q2bPv30U7Vo0SJ/THh4uGrVqqXXXntNaWlp8vX1VaNGjTR37tyrbu13Pb5f95uysrLVsXUzw9YJAAAAACgd3C70jx8/XuPHj79q+Y8//njVstDQUF15R8IWLVpo0aJFxW6jZs2a+vzzz69afvm6qlSponfffde+oq9Dq2bRqlyxPJP3AQAAAABKzG1v2VdalC8XpBaxDcwuAwAAAADghgj9AAAAAAB4KEI/AAAAAAAeitAPAAAAAICHIvQDAAAAAOChCP0AAAAAAHgoQj8AAAAAAB6K0A8AAAAAgIci9AMAAAAA4KEI/QAAAAAAeChCPwAAAAAAHorQDwAAAACAhyL0AwAAAADgoQj9AAAAAAB4KEI/AAAAAAAeitAPAAAAAICHIvQDAAAAAOChCP0AAAAAAHgoQj8AAAAAAB6K0A8AAAAAgIci9AMAAAAA4KEI/QAAAAAAeChCPwAAAAAAHorQDwAAAACAhyL0AwAAAADgoQj9AAAAAAB4KEK/C7vtttsUFxenmJgY9erVS6dOnTK7JAAAAAClQHJysqKjo1W3bl0lJSUpOzvb7JJsGjZsmCIiIuTj42N2KXZLTU1Vp06d1KhRI0VHR2v06NGGb4PQ78LmzZunTZs2afPmzYqIiNCkSZPMLgkAAACAh8vJyVFSUpLmzZun3bt369SpU5ozZ47ZZdnUu3dvbdiwwewySsTHx0cTJ07Utm3b9Msvv2j16tX67LPPDN0God+FhYSESLJ+0507d04Wi8XkigAAAAB4uvXr16tatWpq3LixJGngwIFasGCByVXZ1rZtW4WHh5tdRolUrVpVLVq0kCT5+fmpadOmOnDggKHbsOTm5uYaukYY6q677tL333+vmJgYff755woKCjK7JAAAAAAu6MBfh7Xoq+/zPz94+KgkqWqVSgUeS1KAv5/+9Y/OCvD3u2o9CxYs0MKFC/Xhhx9KkrZt26Z7771Xv/zyi+E15+Tm6pMl3yj92EmbNUtS+xtj1TS6XrHr9PHxUVZWluG1Xm77ngP66rv1+Z8XV3dIcFn1u+tW+Xh7F7vOY8eOKS4uTitWrFDDhg0Nq5Uj/S5u0aJF+uuvvxQREaH58+ebXQ4AAAAAFxVZrYrCK1fQwcNH84OnpKseHzx8VC1jGxQa+CXJmceFvSwWtbsxVofSj9ms2dvLS7EN6zittuLUj6qhsoEBdu3rNs2b2Az8Fy5cUK9evTRs2DBDA79E6HcLfn5+6tu3rxYtWmR2KQAAAABc2B23tFFIcNlix8Q0qF3s0fIaNWooNTU1//MDBw4oIiLCsBqv2l7VKurYplmxY3x8vNWnWwd5e7tGhPWyWNS7a3yRb5zkad08WvVqF7/vsrOzde+99youLk4jRowwskxJhH6XlZGRoYMHD0qyXtO/ZMkSRUdHm1wVAAAAAFcWGOCv3okJRT4fXDZQd3ZuV+x8YS1atFBaWpp+//13SdI777yjnj17Gl1qAR1aNVWNqpWLfP72hJtUpVJ5h9ZQUiHlgnTnbW2LfL5yxRB1ib/J5noGDRqk4OBgvfrqq0aWl4/Qfx3effddRUdHKyAgQLVr19Z//vMf5eTkGLLujIwM3XHHHYqNjVVsbKyysrL09NNPS3Lu6TYAAAAA3EvdmtXVpkWTQp/rdXu8ygYGFPt6b29vvf322+rVq5fq1KmjoKAg9e/f3xGlXtqml5f6dOsgX5+rT4OvW7O6WjWzfQD0oYceUkREhLKzsxUREaEhQ4Y4otQC4hrXVWzDqKuWe3lZdHe3jvLzLf72gT/88INmzZqlDRs2qGnTpoqLi9PUqVMNrZGJ/K7R7Nmz9cADD+iJJ55Q9+7dtW7dOo0ZM0bDhw/XxIkTHbbd3Nxc/feTpYptWEc3N23ssO0AAAAAcF8XL2bp9fcW6fDR4/nLboprpLs6tzOxKtvWbtyqz1b+kP95gL+fHn+gl0LKue6E5mczz2nKrPk6dfps/rJb2jbXLW2am1jVJRzpvwZZWVkaNWqU+vTpo1dffVUJCQl68sknNWrUKE2aNEl//vmnw7b9++79+uPAQfnaeMcIAAAAQOnl6+uju7t3kJeX9TT+ShXKKbHDzSZXZdvNTRur/mXXwN95W1uXDvySVCYwQL26JuR/XqNqZXVo1dS8gq7gMqF//Pjxslgs2rJlixITExUUFKSqVavq5ZdfliQtX75czZo1U5kyZdS0aVOtXr26wOvXrFmjzp07KyQkRIGBgWrXrt1VYzZs2KA+ffooMjJSgYGBqlu3rh599FGdPHmywLjdu3erV69eCg8Pl7+/v6pXr6477rhDR49aZ2L88ccfdfjwYfXr16/A6+677z5lZWVp6dKlRu8eSdaj/F+v/lmVKpRTXOO6DtkGAAAAAM9QPSxUt7RpLovForsTO8jPz9fskmyyWCzqdXu8ygT4K7ZhlNvknvq1I9SqWWP55k046OUyUVsud7i4d+/eSkpK0uOPP673339fTz75pI4ePaqlS5fq6aefVnBwsJ566in16NFD+/btU3BwsFasWKFu3bqpY8eOmj17tvz9/fXmm2+qU6dOWr16tVq2bClJ2rdvn2JiYtSvXz+FhIRo9+7d+s9//qONGzfqhx8unUKSmJiocuXK6fXXX1dYWJj+/vtvrVy5UpmZmZKkLVu2SJKaNCl4nUydOnUUGBiY/7wtoybOvOb99NTLb1/zawEAAACULm/N+czsEkrst+1/6Lft156ZzPLqf+c6ZTsvjhxk1ziXC/3Dhg3Tww8/LElq166dlixZokmTJmnnzp2qVauWJCkwMFCdOnXSihUr9I9//ENDhw5VixYttGzZMnn97x2Vzp07q0mTJho3bpyWLVsmSerVq1eBbbVp00b169dX+/bttWnTJsXFxenIkSPauXOnFi9erB49euSP7dOnT/7jY8eOSZIqVKhwVf0VKlTIfx4AAAAAADO5XOjv2rVr/mN/f39FRUUpOzs7P/BLUsOGDSVJqamp2r17t3bt2qXhw4crJyenwOz5t9xyi2bPnp3/+enTp/Xiiy/q008/VWpqqs6fP5//3I4dOxQXF6dKlSopKipKo0aN0qFDh9S+ffv87RnN3ndmJGnrrn36YOEK9U5MUPMm9R1SDwAAAADAs7hc6K9YsWKBz/38/BQQEHDVMkk6d+6cDh06JEkaMmRIkbdkyMzMVGBgoB544AEtX75c48ePV7NmzRQcHKzU1FT17Nkz/9R9i8Wir7/+Ws8++6yefvpppaen59/uYeTIkbJYLPk1Hj9+XOXLly+wrePHj1/1NRTlWk7vn/dFsuZ9kVzi1wEAAAAAPIfbnt5fUpUqVZJknQgwMTGx0DH+/v46d+6cFi1apLFjx2rEiBH5z105iZ8k1a5dW7Nnz1Zubq62bt2qWbNmafTo0QoNDVVSUpKio633iNy6datq166d/7o//vhDmZmZV13rDwAAAACAGdw+9Ddo0EBRUVHavHmzxo0bV+S48+fPKysrS76+BWesnDVrVpGvsVgsatKkiSZNmqTp06dr8+bNkqRWrVqpcuXKmjNnjrp165Y//v3335ePj0+Rbz5cyZ53ZnJzczX13YW6cPGinkjq41KzQAIAAAAAXJvbh36LxaLp06crMTFRPXr0UL9+/VSlShWlp6dr48aNunjxol5++WWFhISodevWeuWVVxQWFqZq1app7ty5+umnnwqs77ffftNjjz2mPn36qF69epKkefPmKTMzU507d5Yk+fj4aMKECXrwwQcVERGh7t27a/369frPf/6j4cOHKyIi4qo6r9Xvu/fr4OGj6p2YQOAHAAAAAJSI24d+Sbr11lu1Zs0avfDCCxo8eLAyMjJUpUoVNWvWTA8++GD+uI8++khDhw7V8OHD5e3trW7duunTTz9VixYt8seEh4erVq1aeu2115SWliZfX181atRIc+fOLTDJYFJSkry8vPTyyy/r9ddfV9WqVTV27FiNGjXK0K/tVMYZVa1SyW3uTwkAAAAAcB2W3NzcXLOLQPFycnLyb0UIAAAAAIC9CP0AAAAAAHgoDh8DAAAAAOChCP0AAAAAAHgoQj8AAAAAAB6K0A8AAAAAgIci9AMAAAAA4KEI/QAAAAAAeChCPwAAAAAAHorQDwAAAACAhyL0AwAAAADgoQj9AAAAAAB4KEI/AAAAAAAeitAPAAAAAICHIvQDAAAAAOChCP0AAAAAAHgoQj8AAAAAAB6K0A8AAAAAgIci9AMAAAAA4KEI/QAAAAAAeChCPwAAAAAAHorQDwAAAACAhyL0AwAAAADgoQj9AAAAAAB4KEI/AAAAAAAeitAPAAAAAICHIvQDAAAAAOChCP0AAAAAAHgoQj8AAAAAAB7q/wP154D+7SrO9gAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 1333.86x325.08 with 1 Axes>"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cir.measure_all()\n",
"cir.draw()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "b691f199",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 504x360 with 1 Axes>"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"simulator = Aer.get_backend('qasm_simulator')\n",
"result = execute(cir, backend = simulator).result()\n",
"plot_histogram(result.get_counts(cir))"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "0fd52882",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'Exercise 7.3'"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"\"Exercise 7.3\""
]
},
{
"cell_type": "code",
"execution_count": 38,
"id": "3da9de3f",
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 327.397x264.88 with 1 Axes>"
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def xor(qc, qubit1, qubit2, qubit3, qubit4):\n",
" qc.cx(qubit2,qubit4)\n",
" qc.cx(qubit1,qubit3)\n",
" qc.ccx(qubit2,qubit4,qubit3)\n",
" return qc\n",
"qc = QuantumCircuit(4)\n",
"intial_1 = [1,0]\n",
"intial_2 = [1,0]\n",
"qc.initialize(intial_1, 0)\n",
"qc.initialize(intial_2, 1)\n",
"qc.initialize([0,1], 2)\n",
"qc.initialize([0,1], 3)\n",
"qc = xor(qc, 0, 1, 2, 3,)\n",
"qc.draw()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "b13a1f3a",
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 504x360 with 1 Axes>"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"simulator = Aer.get_backend('qasm_simulator')\n",
"result = execute(qc, backend = simulator).result()\n",
"plot_histogram(result.get_counts(qc))"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "3534aec4",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j 0.+0.j\n",
" 0.+0.j 0.+0.j 1.+0.j 0.+0.j 0.+0.j 0.+0.j]\n"
]
}
],
"source": [
"simulator = Aer.get_backend('statevector_simulator')\n",
"result = execute(qc, backend = simulator).result()\n",
"state_vector = result.get_statevector()\n",
"print(state_vector)"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "e2cb7ef7",
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/opt/conda/lib/python3.8/site-packages/qiskit/visualization/bloch.py:69: 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"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 1152x288 with 4 Axes>"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"plot_bloch_multivector(state_vector)"
]
},
{
"cell_type": "code",
"execution_count": 39,
"id": "239f696f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[ 3.74939946e-33+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j -6.12323400e-17+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j -6.12323400e-17+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 1.00000000e+00+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j]\n",
" [ 0.00000000e+00+0.j 6.12323400e-17+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j 3.74939946e-33+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" -1.00000000e+00+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j -6.12323400e-17+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j]\n",
" [ 0.00000000e+00+0.j 0.00000000e+00+0.j 6.12323400e-17+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" -1.00000000e+00+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j 3.74939946e-33+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j -6.12323400e-17+0.j\n",
" 0.00000000e+00+0.j]\n",
" [ 0.00000000e+00+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 1.00000000e+00+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j 6.12323400e-17+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j 6.12323400e-17+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 3.74939946e-33+0.j]\n",
" [ 6.12323400e-17+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j 3.74939946e-33+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j -1.00000000e+00+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" -6.12323400e-17+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j]\n",
" [ 0.00000000e+00+0.j 3.74939946e-33+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j -6.12323400e-17+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" -6.12323400e-17+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j 1.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j]\n",
" [ 0.00000000e+00+0.j 0.00000000e+00+0.j 1.00000000e+00+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 6.12323400e-17+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j 6.12323400e-17+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j 3.74939946e-33+0.j\n",
" 0.00000000e+00+0.j]\n",
" [ 0.00000000e+00+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 6.12323400e-17+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j -1.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j 3.74939946e-33+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" -6.12323400e-17+0.j]\n",
" [ 6.12323400e-17+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j -1.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j 3.74939946e-33+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" -6.12323400e-17+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j]\n",
" [ 0.00000000e+00+0.j 1.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j 6.12323400e-17+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 6.12323400e-17+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j 3.74939946e-33+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j]\n",
" [ 0.00000000e+00+0.j 0.00000000e+00+0.j 6.12323400e-17+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 3.74939946e-33+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j -1.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j -6.12323400e-17+0.j\n",
" 0.00000000e+00+0.j]\n",
" [ 0.00000000e+00+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 3.74939946e-33+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j -6.12323400e-17+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j -6.12323400e-17+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 1.00000000e+00+0.j]\n",
" [ 1.00000000e+00+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j 6.12323400e-17+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j 6.12323400e-17+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 3.74939946e-33+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j]\n",
" [ 0.00000000e+00+0.j 6.12323400e-17+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j -1.00000000e+00+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 3.74939946e-33+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j -6.12323400e-17+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j]\n",
" [ 0.00000000e+00+0.j 0.00000000e+00+0.j 3.74939946e-33+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" -6.12323400e-17+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j -6.12323400e-17+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j 1.00000000e+00+0.j\n",
" 0.00000000e+00+0.j]\n",
" [ 0.00000000e+00+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 6.12323400e-17+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j 3.74939946e-33+0.j 0.00000000e+00+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j -1.00000000e+00+0.j\n",
" 0.00000000e+00+0.j 0.00000000e+00+0.j 0.00000000e+00+0.j\n",
" -6.12323400e-17+0.j]]\n"
]
}
],
"source": [
"simulator = Aer.get_backend('unitary_simulator')\n",
"result = execute(qc, backend = simulator).result()\n",
"unitary = result.get_unitary()\n",
"print(unitary)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "052d0750",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.8.10"
}
},
"nbformat": 4,
"nbformat_minor": 5
}