deutsch_jozsa.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Deutsch-Jozsa Algorithm Implementation in Qiskit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# import the necessary modules\n",
    "from qiskit import QuantumCircuit, execute\n",
    "from qiskit.visualization import plot_histogram\n",
    "from qiskit.circuit import QuantumCircuit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit.circuit.instructionset.InstructionSet at 0x16c0107c0>"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# define the number of qubits\n",
    "n = 100\n",
    "qc = QuantumCircuit(n + 1, n)\n",
    "\n",
    "# flip the helper qubit\n",
    "qc.z(n)\n",
    "\n",
    "# apply H gates\n",
    "qc.h(range(n+1))\n",
    "\n",
    "qc.barrier()\n",
    "\n",
    "# implement the oracle (blackbox function)\n",
    "# for a balanced function, CNOT can be used as the oracle\n",
    "# qc.x(n)\n",
    "\n",
    "# oracle for a balanced blackbox function\n",
    "qc.cx(0, n)\n",
    "\n",
    "qc.barrier()\n",
    "\n",
    "# apply H gates again (exclude the helper)\n",
    "qc.h(range(n))\n",
    "\n",
    "qc.barrier()\n",
    "\n",
    "# measurement\n",
    "qc.measure(range(n), range(n))\n",
    "\n",
    "# draw the circuit\n",
    "# qc.draw(output = 'mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Counts(ideal): {'0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000': 1024}\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 700x500 with 1 Axes>"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Running the circuit\n",
    "from qiskit_aer import AerSimulator\n",
    "\n",
    "# we will use Aer's qasm_simulator\n",
    "aersim = AerSimulator()\n",
    "\n",
    "# get the results and the counts and plot a histogram\n",
    "result_ideal = aersim.run(qc).result()\n",
    "counts_ideal = result_ideal.get_counts(0)\n",
    "print('Counts(ideal):', counts_ideal)\n",
    "\n",
    "plot_histogram(counts_ideal)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Counts(noise): {'01': 137, '11': 3, '10': 21, '00': 863}\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 700x500 with 1 Axes>"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit.providers.fake_provider import FakeManilaV2\n",
    "\n",
    "# Construct a noisy simulator backend from an IBMQ backend\n",
    "# This simulator backend will be automatically configured\n",
    "# using the device configuration and noise model\n",
    "backend = FakeManilaV2()\n",
    "aersim_backend = AerSimulator.from_backend(backend)\n",
    "\n",
    "# Perform noisy simulation\n",
    "result_noise = aersim_backend.run(qc).result()\n",
    "counts_noise = result_noise.get_counts(0)\n",
    "\n",
    "print('Counts(noise):', counts_noise)\n",
    "\n",
    "plot_histogram(counts_noise)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Execution Time')"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAioAAAGxCAYAAABMeZ2uAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAsX0lEQVR4nO3deXQUZb7/8U8nIQmQpGOAbEMIq0DYNYIhDjgIAiqOXGfG4aLD4nUuDBgYxKuMVyN4JcFRDqIIIyPgXEG8joLLSFBZBdkXEZUYZBUSQALpRKCRdP3+8NA/mwRMh07qSfJ+nVPnUE89Xf3lOR76Y9XzVDksy7IEAABgoCC7CwAAALgcggoAADAWQQUAABiLoAIAAIxFUAEAAMYiqAAAAGMRVAAAgLEIKgAAwFghdhdwNTwej44eParIyEg5HA67ywEAABVgWZaKi4uVmJiooKArXzOp0UHl6NGjSkpKsrsMAABQCYcPH1bTpk2v2Mf2oHLkyBE98sgjWrZsmc6cOaPWrVtr/vz5Sk1N/dnPRkZGSvrxLxoVFVXVpQIAgABwuVxKSkry/o5fia1B5dSpU0pPT9evfvUrLVu2TE2aNFFeXp6uueaaCn3+4u2eqKgoggoAADVMRaZt2BpUpk2bpqSkJM2fP9/b1qJFCxsrAgAAJrF11c+7776r1NRU/fa3v1VsbKy6deumuXPnXra/2+2Wy+Xy2QAAQO1la1DZt2+fZs+erTZt2mj58uUaPXq0MjIy9Oqrr5bbPysrS06n07sxkRYAgNrNYVmWZdeXh4aGKjU1VZ9++qm3LSMjQ1u2bNGGDRvK9He73XK73d79i5NxioqKmKMCAEAN4XK55HQ6K/T7besVlYSEBKWkpPi0tW/fXocOHSq3f1hYmHfiLBNoAQCo/WwNKunp6crNzfVp+/rrr5WcnGxTRQAAwCS2BpU///nP2rhxo6ZOnaq9e/dq0aJFevnllzVmzBg7ywIAAIawNajccMMNWrJkiV5//XV17NhRTz31lGbMmKGhQ4faWRYAADCErZNpr5Y/k3EAAIAZ/Pn9tv0R+gAAwDylHkub9xfqePE5xUaGq3uLGAUHVf8LgAkqAADAR87ufE1+70vlF53ztiU4w5U5KEUDOiZUay22zlEBAABmydmdr9GvbfcJKZJUUHROo1/brpzd+dVaD0EFAABI+vF2z+T3vlR5k1cvtk1+70uVeqpveitBBQAASJI27y8scyXlpyxJ+UXntHl/YbXVRFABAACSpOPFlw8plekXCAQVAAAgSYqNDA9ov0AgqAAAAElS9xYxSnCG63KLkB36cfVP9xYx1VYTQQUAAEiSgoMcyhz048uCLw0rF/czB6VU6/NUCCoAAMBrQMcEzb73OsU7fW/vxDvDNfve66r9OSo88A0AAPgY0DFB/VLieTItAAAwU3CQQ2mtGtldBrd+AACAuQgqAADAWAQVAABgLIIKAAAwFkEFAAAYi6ACAACMRVABAADGIqgAAABjEVQAAICxCCoAAMBYBBUAAGAsggoAADAWQQUAABiLoAIAAIxFUAEAAMYiqAAAAGMRVAAAgLEIKgAAwFgEFQAAYCyCCgAAMBZBBQAAGIugAgAAjEVQAQAAxiKoAAAAYxFUAACAsQgqAADAWAQVAABgLIIKAAAwFkEFAAAYi6ACAACMRVABAADGIqgAAABjEVQAAICxCCoAAMBYBBUAAGAsW4PKk08+KYfD4bO1a9fOzpIAAIBBQuwuoEOHDvr444+9+yEhtpcEAAAMYXsqCAkJUXx8vN1lAAAAA9k+RyUvL0+JiYlq2bKlhg4dqkOHDl22r9vtlsvl8tkAAEDtZWtQ6dGjhxYsWKCcnBzNnj1b+/fv1y9/+UsVFxeX2z8rK0tOp9O7JSUlVXPFAACgOjksy7LsLuKi06dPKzk5WdOnT9f9999f5rjb7Zbb7fbuu1wuJSUlqaioSFFRUdVZKgAAqCSXyyWn01mh32/b56j8VHR0tK699lrt3bu33ONhYWEKCwur5qoAAIBdbJ+j8lMlJSX65ptvlJCQYHcpAADAALYGlYkTJ2rNmjU6cOCAPv30Uw0ePFjBwcEaMmSInWUBAABD2Hrr59tvv9WQIUN08uRJNWnSRDfddJM2btyoJk2a2FkWAAAwhK1BZfHixXZ+PQAAMJxRc1QAAAB+iqACAACMRVABAADGIqgAAABjEVQAAICxCCoAAMBYBBUAAGAsggoAADAWQQUAABiLoAIAAIxFUAEAAMYiqAAAAGMRVAAAgLEIKgAAwFgEFQAAYCyCCgAAMBZBBQAAGIugAgAAjEVQAQAAxiKoAAAAYxFUAACAsQgqAADAWAQVAABgLIIKAAAwFkEFAAAYi6ACAACMRVABAADGIqgAAABjEVQAAICxCCoAAMBYBBUAAGAsggoAADAWQQUAABiLoAIAAIxFUAEAAMYiqAAAAGMRVAAAgLEIKgAAwFgEFQAAYCyCCgAAMBZBBQAAGIugAgAAjEVQAQAAxiKoAAAAYxFUAACAsQgqAADAWAQVAABgLGOCSnZ2thwOh8aPH293KQAAwBBGBJUtW7bob3/7mzp37mx3KQAAwCC2B5WSkhINHTpUc+fO1TXXXGN3OQAAwCC2B5UxY8bo9ttvV9++fX+2r9vtlsvl8tkAAEDtFWLnly9evFjbt2/Xli1bKtQ/KytLkydPruKqAACAKWy7onL48GGNGzdOCxcuVHh4eIU+M2nSJBUVFXm3w4cPV3GVAADATg7Lsiw7vnjp0qUaPHiwgoODvW2lpaVyOBwKCgqS2+32OVYel8slp9OpoqIiRUVFVXXJAAAgAPz5/bbt1s8tt9yizz//3KdtxIgRateunR555JGfDSkAAKD2sy2oREZGqmPHjj5tDRs2VKNGjcq0AwCAusn2VT8AAACXY+uqn0utXr3a7hIAAIBBuKICAACMRVABAADGIqgAAABjEVQAAICxCCoAAMBYlQoqn3zyie69916lpaXpyJEjkqT//d//1bp16wJaHAAAqNv8DipvvfWW+vfvr/r162vHjh1yu92SpKKiIk2dOjXgBQIAgLrL76DyP//zP5ozZ47mzp2revXqedvT09O1ffv2gBYHAADqNr+DSm5urnr16lWm3el06vTp04GoCQAAQFIlgkp8fLz27t1bpn3dunVq2bJlQIoCAACQKhFUHnjgAY0bN06bNm2Sw+HQ0aNHtXDhQk2cOFGjR4+uihoBAEAd5fe7fh599FF5PB7dcsstOnPmjHr16qWwsDBNnDhRDz74YFXUCAAA6iiHZVlWZT54/vx57d27VyUlJUpJSVFERESga/tZLpdLTqdTRUVFioqKqvbvBwAA/vPn97vSb08ODQ1VSkpKZT8OAADws/wOKufOndMLL7ygVatW6fjx4/J4PD7HWaIMAAACxe+gcv/99+vDDz/Ub37zG3Xv3l0Oh6Mq6gIAAPA/qLz//vv64IMPlJ6eXhX1AAAAePm9PPkXv/iFIiMjq6IWAAAAH34Hleeee06PPPKIDh48WBX1AAAAePl96yc1NVXnzp1Ty5Yt1aBBA5/3/UhSYWFhwIoDAAB1m99BZciQITpy5IimTp2quLg4JtMCAIAq43dQ+fTTT7VhwwZ16dKlKuoBAADw8nuOSrt27XT27NmqqAUAAMCH30ElOztbDz30kFavXq2TJ0/K5XL5bAAAAIHi97t+goJ+zDaXzk2xLEsOh0OlpaWBq+5n8K4fAABqnip918+qVasqXRgAAIA//A4qvXv3roo6AAAAyqhQUNm1a5c6duyooKAg7dq164p9O3fuHJDCAAAAKhRUunbtqoKCAsXGxqpr165yOBwqb2pLdc9RAQAAtVuFgsr+/fvVpEkT758BAACqQ4WCSnJysoKDg5Wfn6/k5OSqrgkAAECSH89R8XMVMwAAwFXz+4FvAAAA1cWv5cl///vfFRERccU+GRkZV1UQAADARRV+Mm1QUJCaNm2q4ODgy5/M4dC+ffsCVtzP4cm0AADUPFX2ZNqtW7cqNjb2qooDAACoqArPUbn03T4AAABVjVU/AADAWBUOKpmZmT87kRYAACCQKjyZ1kRMpgUAoObx5/eb56gAAABjEVQAAICxCCoAAMBYBBUAAGAsv4PKsWPHdN999ykxMVEhISEKDg722QAAAALFryfTStLw4cN16NAhPf7440pISOBBcAAAoMr4HVTWrVunTz75RF27dq2CcgAAAP4/v2/9JCUlBewptbNnz1bnzp0VFRWlqKgopaWladmyZQE5NwAAqPn8DiozZszQo48+qgMHDlz1lzdt2lTZ2dnatm2btm7dqj59+ujXv/61vvjii6s+NwAAqPn8fjLtNddcozNnzujChQtq0KCB6tWr53O8sLDwqgqKiYnRX//6V91///0/25cn0wIAUPP48/vt9xyVGTNmVLauKyotLdWbb76p77//XmlpaeX2cbvdcrvd3n2Xy1UltQAAADP4HVSGDRsW0AI+//xzpaWl6dy5c4qIiNCSJUuUkpJSbt+srCxNnjw5oN8PAADMVamXEpaWlmrp0qX66quvJEkdOnTQnXfeWannqJw/f16HDh1SUVGR/vnPf+rvf/+71qxZU25YKe+KSlJSErd+AACoQfy59eN3UNm7d69uu+02HTlyRG3btpUk5ebmKikpSf/617/UqlWrylcuqW/fvmrVqpX+9re//Wxf5qgAAFDzVOnbkzMyMtSqVSsdPnxY27dv1/bt23Xo0CG1aNFCGRkZlS76Io/H43PVBAAA1F1+z1FZs2aNNm7cqJiYGG9bo0aNlJ2drfT0dL/ONWnSJA0cOFDNmjVTcXGxFi1apNWrV2v58uX+lgUAAGohv4NKWFiYiouLy7SXlJQoNDTUr3MdP35cf/jDH5Sfny+n06nOnTtr+fLl6tevn79lAQCAWsjvoHLHHXfoj3/8o1555RV1795dkrRp0yaNGjVKd955p1/neuWVV/z9egAAUIf4PUdl5syZatWqldLS0hQeHq7w8HClp6erdevWev7556uiRgAAUEf5fUUlOjpa77zzjvLy8rRnzx5JUvv27dW6deuAFwcAAOo2v4PKRW3atFGbNm0CWQsAAICPCgWVCRMm6KmnnlLDhg01YcKEK/adPn16QAoDAACoUFDZsWOHfvjhB++fAQAAqkOlHqFvCp5MCwBAzVOlT6YdOXJkuc9R+f777zVy5Eh/TwcAAHBZfgeVV199VWfPni3TfvbsWf3jH/8ISFEAAACSH6t+XC6XLMuSZVkqLi5WeHi491hpaak++OADxcbGVkmRAACgbqpwUImOjpbD4ZDD4dC1115b5rjD4dDkyZMDWhwAAKjbKhxUVq1aJcuy1KdPH7311ls+LyUMDQ1VcnKyEhMTq6RIAABQN1U4qPTu3VuStH//fjVr1kwOh6PKigIAAJAq8WTagwcP6uDBg5c93qtXr6sqCAAA4CK/g8rNN99cpu2nV1dKS0uvqiAAAICL/F6efOrUKZ/t+PHjysnJ0Q033KAPP/ywKmoEAAB1lN9XVJxOZ5m2fv36KTQ0VBMmTNC2bdsCUhgAAIDfV1QuJy4uTrm5uYE6HQAAgP9XVHbt2uWzb1mW8vPzlZ2dra5duwaqLgAAAP+DSteuXeVwOHTpuwxvvPFGzZs3L2CFAQAA+B1U9u/f77MfFBSkJk2a+DxSHwAAIBD8DirJyclVUQcAAEAZfk+mzcjI0MyZM8u0v/jiixo/fnwgagIAAJBUiaDy1ltvKT09vUx7z5499c9//jMgRQEAAEiVuPVz8uTJcp+lEhUVpe+++y4gRQGoW0o9ljbvL9Tx4nOKjQxX9xYxCg7ifWIAKhFUWrdurZycHI0dO9anfdmyZWrZsmXACgNQN+Tsztfk975UftE5b1uCM1yZg1I0oGOCjZUBMIHfQWXChAkaO3asTpw4oT59+kiSVqxYoeeee04zZswIdH0AarGc3fka/dp2WZe0FxSd0+jXtmv2vdcRVoA6zu+gMnLkSLndbj399NN66qmnJEnNmzfX7Nmz9Yc//CHgBQKonUo9lia/92WZkCJJliSHpMnvfal+KfHcBgLqML+DiiSNHj1ao0eP1okTJ1S/fn1FREQEui4Atdzm/YU+t3suZUnKLzqnzfsLldaqUfUVBsAolXrXz4ULF/Txxx/r7bff9j6h9ujRoyopKQlocQBqr+PFlw8plekHoHby+4rKwYMHNWDAAB06dEhut1v9+vVTZGSkpk2bJrfbrTlz5lRFnQBqmdjIij3NuqL9ANROfl9RGTdunFJTU3Xq1CnVr1/f2z548GCtWLEioMUBqL26t4hRgjNcl5t94tCPq3+6t4ipzrIAGMbvoPLJJ5/ov//7vxUaGurT3rx5cx05ciRghQGo3YKDHMoclCJJZcLKxf3MQSlMpAXqOL+DisfjUWlpaZn2b7/9VpGRkQEpCkDdMKBjgmbfe53inb63d+Kd4SxNBiCpEnNUbr31Vs2YMUMvv/yyJMnhcKikpESZmZm67bbbAl4ggNptQMcE9UuJ58m0AMrlsC4u26mgb7/9Vv3795dlWcrLy1Nqaqry8vLUuHFjrV27VrGxsVVVaxkul0tOp1NFRUWKioqqtu8FAACV58/vt99BRfpxefIbb7yhzz77TCUlJbruuus0dOhQn8m11YGgAgBAzVOlQeXEiRNq0qRJucc+//xzderUyZ/TXRWCCgAANY8/v99+T6bt1KmT/vWvf5Vpf/bZZ9W9e3d/TwcAAHBZfgeVCRMm6O6779bo0aN19uxZHTlyRLfccoueeeYZLVq0qCpqBAAAdVSl5qjs2LFD9913n9xutwoLC9WjRw/NmzdP8fHxVVHjZXHrBwCAmqdKb/1IUuvWrdWxY0cdOHBALpdL99xzT7WHFAAAUPv5HVTWr1+vzp07Ky8vT7t27dLs2bP14IMP6p577tGpU6eqokYAAFBH+R1U+vTpo3vuuUcbN25U+/bt9R//8R/asWOHDh06VK0rfgAAQO3n95NpP/zwQ/Xu3dunrVWrVlq/fr2efvrpgBUGAABQqcm0pmAyLQAANU+VTKa97bbbVFRU5N3Pzs7W6dOnvfsnT55USkqK/9UCAABcRoWDyvLly+V2u737U6dOVWFhoXf/woULys3NDWx1AACgTqtwULn0DlEg7hhlZWXphhtuUGRkpGJjY3XXXXcRdgAAgFelnqMSKGvWrNGYMWO0ceNGffTRR/rhhx9066236vvvv7ezLAAAYIgKr/pxOBxyOBxl2q5GTk6Oz/6CBQsUGxurbdu2qVevXld1bgAAUPNVOKhYlqXhw4crLCxMknTu3DmNGjVKDRs2lCSf+SuVdXGybkxMTLnH3W63z/e4XK6r/k4AAGCuCi9PHjFiRIVOOH/+/EoV4vF4dOedd+r06dNat25duX2efPJJTZ48uUw7y5MBAKg5/FmebMxzVEaPHq1ly5Zp3bp1atq0abl9yruikpSURFABAKAG8Seo+P1k2qowduxYvf/++1q7du1lQ4okhYWFeW89AQCA2s/WoGJZlh588EEtWbJEq1evVosWLewsBwAAGMbWoDJmzBgtWrRI77zzjiIjI1VQUCBJcjqdql+/vp2lAQAAA9g6R+Vyy5vnz5+v4cOH/+znedcPAAA1T42Zo2LIPF4AAGAoW59MCwAAcCUEFQAAYCyCCgAAMBZBBQAAGIugAgAAjEVQAQAAxiKoAAAAYxFUAACAsQgqAADAWAQVAABgLIIKAAAwFkEFAAAYi6ACAACMRVABAADGIqgAAABjEVQAAICxCCoAAMBYBBUAAGAsggoAADAWQQUAABiLoAIAAIxFUAEAAMYiqAAAAGMRVAAAgLEIKgAAwFgEFQAAYCyCCgAAMBZBBQAAGIugAgAAjEVQAQAAxiKoAAAAYxFUAACAsQgqAADAWAQVAABgLIIKAAAwFkEFAAAYi6ACAACMRVABAADGIqgAAABjEVQAAICxCCoAAMBYBBUAAGAsggoAADAWQQUAABiLoAIAAIxFUAEAAMYiqAAAAGPZGlTWrl2rQYMGKTExUQ6HQ0uXLrWzHAAAYBhbg8r333+vLl26aNasWXaWAQAADBVi55cPHDhQAwcOtLMEAABgMFuDir/cbrfcbrd33+Vy2VgNAACoajVqMm1WVpacTqd3S0pKsrskAABQhWpUUJk0aZKKioq82+HDh+0uCQAAVKEadesnLCxMYWFhdpcBAACqSY26ogIAAOoWW6+olJSUaO/evd79/fv3a+fOnYqJiVGzZs1srAwAAJjA1qCydetW/epXv/LuT5gwQZI0bNgwLViwwKaqAACAKWwNKjfffLMsy7KzBAAAYDDmqAAAAGMRVAAAgLEIKgAAwFgEFQAAYCyCCgAAMBZBBQAAGIugAgAAjEVQAQAAxiKoAAAAYxFUAACAsQgqAADAWAQVAABgLIIKAAAwFkEFAAAYi6ACAACMRVABAADGIqgAAABjEVQAAICxCCoAAMBYBBUAAGAsggoAADAWQQUAABiLoAIAAIxFUAEAAMYiqAAAAGMRVAAAgLEIKgAAwFgEFQAAYCyCCgAAMBZBBQAAGIugAgAAjEVQAQAAxiKoAAAAYxFUAACAsQgqAADAWAQVAABgLIIKAAAwFkEFAAAYi6ACAACMRVABAADGCrG7AFRMqcfS5v2FOl58TrGR4ereIkbBQQ67ywIAoEoRVGqAnN35mvzel8ovOudtS3CGK3NQigZ0TLCxMgAAqha3fgyXsztfo1/b7hNSJKmg6JxGv7ZdObvzbaoMAICqR1AxWKnH0uT3vpRVzrGLbZPf+1KlnvJ6AABQ8xFUDLZ5f2GZKyk/ZUnKLzqnzfsLq68oAACqEUHFYMeLLx9SKtMPAICahsm05TBlhU1sZHhA+wEAUNMYcUVl1qxZat68ucLDw9WjRw9t3rzZtlpydufrpmkrNWTuRo1bvFND5m7UTdNW2jJptXuLGCU4w3W5iOTQj6t/ureIqc6yAACoNrYHlTfeeEMTJkxQZmamtm/fri5duqh///46fvx4tddi2gqb4CCHMgelSFKZsHJxP3NQCs9TAQDUWrYHlenTp+uBBx7QiBEjlJKSojlz5qhBgwaaN29etdZh6gqbAR0TNPve6xTv9L29E+8M1+x7r+M5KgCAWs3WOSrnz5/Xtm3bNGnSJG9bUFCQ+vbtqw0bNpTp73a75Xa7vfsulytgtfizwiatVaOAfW9FDOiYoH4p8UbMmwEAoDrZGlS+++47lZaWKi4uzqc9Li5Oe/bsKdM/KytLkydPrpJaTF9hExzkqPaABACA3Wy/9eOPSZMmqaioyLsdPnw4YOdmhQ0AAOax9YpK48aNFRwcrGPHjvm0Hzt2TPHx8WX6h4WFKSwsrEpqubjCpqDoXLnzVBz6cV4IK2wAAKg+tl5RCQ0N1fXXX68VK1Z42zwej1asWKG0tLRqrYUVNgAAmMf2Wz8TJkzQ3Llz9eqrr+qrr77S6NGj9f3332vEiBHVXgsrbAAAMIvtT6a95557dOLECT3xxBMqKChQ165dlZOTU2aCbXVhhQ0AAOZwWJZVY1+963K55HQ6VVRUpKioKLvLAQAAFeDP77ftt34AAAAuh6ACAACMRVABAADGIqgAAABjEVQAAICxCCoAAMBYBBUAAGAsggoAADAWQQUAABjL9kfoX42LD9V1uVw2VwIAACrq4u92RR6OX6ODSnFxsSQpKSnJ5koAAIC/iouL5XQ6r9inRr/rx+Px6OjRo4qMjJTDUbGXBrpcLiUlJenw4cO8H6iaMObVi/GuXox39WK8q1dVjbdlWSouLlZiYqKCgq48C6VGX1EJCgpS06ZNK/XZqKgo/iOvZox59WK8qxfjXb0Y7+pVFeP9c1dSLmIyLQAAMBZBBQAAGKvOBZWwsDBlZmYqLCzM7lLqDMa8ejHe1Yvxrl6Md/UyYbxr9GRaAABQu9W5KyoAAKDmIKgAAABjEVQAAICxCCoAAMBYdS6ozJo1S82bN1d4eLh69OihzZs3211SrZCVlaUbbrhBkZGRio2N1V133aXc3FyfPufOndOYMWPUqFEjRURE6O6779axY8dsqrj2yM7OlsPh0Pjx471tjHXgHTlyRPfee68aNWqk+vXrq1OnTtq6dav3uGVZeuKJJ5SQkKD69eurb9++ysvLs7Himqu0tFSPP/64WrRoofr166tVq1Z66qmnfN4Lw3hX3tq1azVo0CAlJibK4XBo6dKlPscrMraFhYUaOnSooqKiFB0drfvvv18lJSVVU7BVhyxevNgKDQ215s2bZ33xxRfWAw88YEVHR1vHjh2zu7Qar3///tb8+fOt3bt3Wzt37rRuu+02q1mzZlZJSYm3z6hRo6ykpCRrxYoV1tatW60bb7zR6tmzp41V13ybN2+2mjdvbnXu3NkaN26ct52xDqzCwkIrOTnZGj58uLVp0yZr37591vLly629e/d6+2RnZ1tOp9NaunSp9dlnn1l33nmn1aJFC+vs2bM2Vl4zPf3001ajRo2s999/39q/f7/15ptvWhEREdbzzz/v7cN4V94HH3xgPfbYY9bbb79tSbKWLFnic7wiYztgwACrS5cu1saNG61PPvnEat26tTVkyJAqqbdOBZXu3btbY8aM8e6XlpZaiYmJVlZWlo1V1U7Hjx+3JFlr1qyxLMuyTp8+bdWrV8968803vX2++uorS5K1YcMGu8qs0YqLi602bdpYH330kdW7d29vUGGsA++RRx6xbrrppsse93g8Vnx8vPXXv/7V23b69GkrLCzMev3116ujxFrl9ttvt0aOHOnT9m//9m/W0KFDLctivAPp0qBSkbH98ssvLUnWli1bvH2WLVtmORwO68iRIwGvsc7c+jl//ry2bdumvn37etuCgoLUt29fbdiwwcbKaqeioiJJUkxMjCRp27Zt+uGHH3zGv127dmrWrBnjX0ljxozR7bff7jOmEmNdFd59912lpqbqt7/9rWJjY9WtWzfNnTvXe3z//v0qKCjwGXOn06kePXow5pXQs2dPrVixQl9//bUk6bPPPtO6des0cOBASYx3VarI2G7YsEHR0dFKTU319unbt6+CgoK0adOmgNdUo19K6I/vvvtOpaWliouL82mPi4vTnj17bKqqdvJ4PBo/frzS09PVsWNHSVJBQYFCQ0MVHR3t0zcuLk4FBQU2VFmzLV68WNu3b9eWLVvKHGOsA2/fvn2aPXu2JkyYoL/85S/asmWLMjIyFBoaqmHDhnnHtbx/Xxhz/z366KNyuVxq166dgoODVVpaqqefflpDhw6VJMa7ClVkbAsKChQbG+tzPCQkRDExMVUy/nUmqKD6jBkzRrt379a6devsLqVWOnz4sMaNG6ePPvpI4eHhdpdTJ3g8HqWmpmrq1KmSpG7dumn37t2aM2eOhg0bZnN1tc///d//aeHChVq0aJE6dOignTt3avz48UpMTGS866A6c+uncePGCg4OLrPy4dixY4qPj7epqtpn7Nixev/997Vq1So1bdrU2x4fH6/z58/r9OnTPv0Zf/9t27ZNx48f13XXXaeQkBCFhIRozZo1mjlzpkJCQhQXF8dYB1hCQoJSUlJ82tq3b69Dhw5Jkndc+fclMB5++GE9+uij+v3vf69OnTrpvvvu05///GdlZWVJYryrUkXGNj4+XsePH/c5fuHCBRUWFlbJ+NeZoBIaGqrrr79eK1as8LZ5PB6tWLFCaWlpNlZWO1iWpbFjx2rJkiVauXKlWrRo4XP8+uuvV7169XzGPzc3V4cOHWL8/XTLLbfo888/186dO71bamqqhg4d6v0zYx1Y6enpZZbbf/3110pOTpYktWjRQvHx8T5j7nK5tGnTJsa8Es6cOaOgIN+fp+DgYHk8HkmMd1WqyNimpaXp9OnT2rZtm7fPypUr5fF41KNHj8AXFfDpuQZbvHixFRYWZi1YsMD68ssvrT/+8Y9WdHS0VVBQYHdpNd7o0aMtp9NprV692srPz/duZ86c8fYZNWqU1axZM2vlypXW1q1brbS0NCstLc3GqmuPn676sSzGOtA2b95shYSEWE8//bSVl5dnLVy40GrQoIH12muveftkZ2db0dHR1jvvvGPt2rXL+vWvf81y2UoaNmyY9Ytf/MK7PPntt9+2GjdubP3Xf/2Xtw/jXXnFxcXWjh07rB07dliSrOnTp1s7duywDh48aFlWxcZ2wIABVrdu3axNmzZZ69ats9q0acPy5EB54YUXrGbNmlmhoaFW9+7drY0bN9pdUq0gqdxt/vz53j5nz561/vSnP1nXXHON1aBBA2vw4MFWfn6+fUXXIpcGFcY68N577z2rY8eOVlhYmNWuXTvr5Zdf9jnu8Xisxx9/3IqLi7PCwsKsW265xcrNzbWp2prN5XJZ48aNs5o1a2aFh4dbLVu2tB577DHL7XZ7+zDelbdq1apy/70eNmyYZVkVG9uTJ09aQ4YMsSIiIqyoqChrxIgRVnFxcZXU67CsnzzqDwAAwCB1Zo4KAACoeQgqAADAWAQVAABgLIIKAAAwFkEFAAAYi6ACAACMRVABAADGIqgAAABjEVQAVNiBAwfkcDi0c+dOu0vx2rNnj2688UaFh4era9euVf59FRmD1atXy+FwlHkxJAD/EVSAGmT48OFyOBzKzs72aV+6dKkcDodNVdkrMzNTDRs2VG5urs+L1C51+PBhjRw5UomJiQoNDVVycrLGjRunkydPBrymnj17Kj8/X06nU5K0YMECRUdHB/x7gLqAoALUMOHh4Zo2bZpOnTpldykBc/78+Up/9ptvvtFNN92k5ORkNWrUqNw++/btU2pqqvLy8vT6669r7969mjNnjvft6YWFhZX+/vKEhoYqPj6+zoZHIJAIKkAN07dvX8XHxysrK+uyfZ588skyt0FmzJih5s2be/eHDx+uu+66S1OnTlVcXJyio6M1ZcoUXbhwQQ8//LBiYmLUtGlTzZ8/v8z59+zZo549eyo8PFwdO3bUmjVrfI7v3r1bAwcOVEREhOLi4nTffffpu+++8x6/+eabNXbsWI0fP16NGzdW//79y/17eDweTZkyRU2bNlVYWJi6du2qnJwc73GHw6Ft27ZpypQpcjgcevLJJ8s9z5gxYxQaGqoPP/xQvXv3VrNmzTRw4EB9/PHHOnLkiB577DGfcy5dutTn89HR0VqwYEGFx+Cnt35Wr16tESNGqKioSA6Hw6fOl156SW3atFF4eLji4uL0m9/8ptz6gbqMoALUMMHBwZo6dapeeOEFffvtt1d1rpUrV+ro0aNau3atpk+frszMTN1xxx265pprtGnTJo0aNUr/+Z//WeZ7Hn74YT300EPasWOH0tLSNGjQIO8tlNOnT6tPnz7q1q2btm7dqpycHB07dky/+93vfM7x6quvKjQ0VOvXr9ecOXPKre/555/Xc889p2effVa7du1S//79deeddyovL0+SlJ+frw4dOuihhx5Sfn6+Jk6cWOYchYWFWr58uf70pz+pfv36Psfi4+M1dOhQvfHGG/L3/axXGoOf6tmzp2bMmKGoqCjl5+d769y6dasyMjI0ZcoU5ebmKicnR7169fKrBqAuIKgANdDgwYPVtWtXZWZmXtV5YmJiNHPmTLVt21YjR45U27ZtdebMGf3lL39RmzZtNGnSJIWGhmrdunU+nxs7dqzuvvtutW/fXrNnz5bT6dQrr7wiSXrxxRfVrVs3TZ06Ve3atVO3bt00b948rVq1Sl9//bX3HG3atNEzzzyjtm3bqm3btuXW9+yzz+qRRx7R73//e7Vt21bTpk1T165dNWPGDEk/Bo2QkBBFREQoPj5eERERZc6Rl5cny7LUvn37cr+jffv2OnXqlE6cOOHX2F1pDH4qNDRUTqdTDodD8fHx3joPHTqkhg0b6o477lBycrK6deumjIwMv2oA6gKCClBDTZs2Ta+++qq++uqrSp+jQ4cOCgr6//8MxMXFqVOnTt794OBgNWrUSMePH/f5XFpamvfPISEhSk1N9dbx2WefadWqVYqIiPBu7dq1k/TjfJKLrr/++ivW5nK5dPToUaWnp/u0p6enV+rv/HNXTEJDQ/0635XGoCL69eun5ORktWzZUvfdd58WLlyoM2fO+FUDUBcQVIAaqlevXurfv78mTZpU5lhQUFCZH+YffvihTL969er57DscjnLbPB5PhesqKSnRoEGDtHPnTp8tLy/P59ZGw4YNK3zOq9G6dWs5HI7LhoivvvpKTZo08a7KcTgcFRq7qxUZGant27fr9ddfV0JCgp544gl16dKFJc3AJQgqQA2WnZ2t9957Txs2bPBpb9KkiQoKCnx+cAP57JONGzd6/3zhwgVt27bNe2vluuuu0xdffKHmzZurdevWPps/4SQqKkqJiYlav369T/v69euVkpJS4fM0atRI/fr100svvaSzZ8/6HCsoKNDChQs1fPhwb1uTJk2Un5/v3c/Lyyv3SseVxuBSoaGhKi0tLdMeEhKivn376plnntGuXbt04MABrVy5ssJ/N6AuIKgANVinTp00dOhQzZw506f95ptv1okTJ/TMM8/om2++0axZs7Rs2bKAfe+sWbO0ZMkS7dmzR2PGjNGpU6c0cuRIST+usCksLNSQIUO0ZcsWffPNN1q+fLlGjBhR7o/1lTz88MOaNm2a3njjDeXm5urRRx/Vzp07NW7cOL/O8+KLL8rtdqt///5au3atDh8+rJycHPXr10/XXnutnnjiCW/fPn366MUXX9SOHTu0detWjRo1qsxVpp8bg0s1b95cJSUlWrFihb777judOXNG77//vmbOnKmdO3fq4MGD+sc//iGPx3PZ+TpAXUVQAWq4KVOmlLk10759e7300kuaNWuWunTpos2bN5e7IqaysrOzlZ2drS5dumjdunV699131bhxY0nyXgUpLS3Vrbfeqk6dOmn8+PGKjo72mQ9TERkZGZowYYIeeughderUSTk5OXr33XfVpk0bv87Tpk0bbdmyRS1bttTvfvc7JScna+DAgbr22mu1fv16n0m4zz33nJKSkvTLX/5S//7v/66JEyeqQYMGfo3BpXr27KlRo0bpnnvuUZMmTfTMM88oOjpab7/9tvr06aP27dtrzpw5ev3119WhQwe//m5Abeew/F2TBwC1QGZmpqZPn66PPvpIN954o93lALgMggqAOmv+/PkqKipSRkaG31d7AFQPggoAADAW/wsBAACMRVABAADGIqgAAABjEVQAAICxCCoAAMBYBBUAAGAsggoAADAWQQUAABiLoAIAAIz1/wCAU5/mIokKzAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot for scalability of circuit\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "num_qubits = [2, 10, 50, 100]\n",
    "exec_time = [0.0, 0.1, 2.4, 5.8]\n",
    "\n",
    "plt.scatter(num_qubits, exec_time)\n",
    "plt.xlabel(\"Number of Qubits\")\n",
    "plt.ylabel(\"Execution Time\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "py311",
   "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": "3.11.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}