Notebook_8.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "b4386340-74f7-4569-9eb9-eafa1a0371d6",
   "metadata": {
    "tags": []
   },
   "source": [
    "# Notebook 8\n",
    "# Sunint Bindra"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "a714bdf2-f616-451c-995e-a0177a4d498d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Libraries imported successfully!\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "# Importing standard Qiskit libraries\n",
    "from qiskit import QuantumCircuit, execute, transpile, Aer, IBMQ\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()\n",
    "print('Libraries imported successfully!')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "8c7dbab5-aff4-4b5c-94f9-f7b4d737a00c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Quantum circuit with 2 qubits\n",
    "qc = QuantumCircuit(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "a9155783-2c2f-4395-a5fa-3d895e4237b2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 146.652x144.48 with 1 Axes>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Adding X gate to qubit 0.\n",
    "qc.x(0)\n",
    "qc.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "2492fe5e-29bc-43bc-862e-063107791ce1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Simulating using Statevector simulator \n",
    "backend = Aer.get_backend('statevector_simulator') \n",
    "job = execute(qc,backend) \n",
    "result = job.result()\n",
    "\n",
    "counts = result.get_counts()\n",
    "plot_histogram(counts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "97a2011a-b0fb-4fdc-818c-48b73eb08d6f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 146.652x144.48 with 1 Axes>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Quantum circuit with 2 qubits. Adding an H gate to qubit 0 and an X gate to qubit 1\n",
    "\n",
    "qc = QuantumCircuit(2)\n",
    "qc.h(0)\n",
    "qc.x(1)\n",
    "qc.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "229598d7-216c-47ac-9089-f1dcb039404f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAc0AAAFACAYAAADeaycbAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/YYfK9AAAACXBIWXMAAAsTAAALEwEAmpwYAAAetklEQVR4nO3df5TV9X3n8eebGRlR4AioID8soEgjBhTHIgmC7UqNORvT/Ng1bXaNtdEaU6nJyWnTs4n5salJ211XTY5rJTkqJq1ukibN5oeSJkGKjtiBFgVSZOVHZeRHBBpAYYDxvX/cixnGGfheuNy5zDwf59wz3/v5fr6f+74MX158f0dmIkmSjm5AbxcgSdLJwtCUJKkgQ1OSpIIMTUmSCjI0JUkqyNCUJKkgQ1OSpIJqHpoRcWtErI+IfRGxLCKuOEr/gRHx+fIy7RHxbxExr0uf90XE6vL81RHxnhP7LSRJ/VFNQzMirgPuAe4ELgGeBn4UEeceYbFHgXcANwOTgf8EPNdpzJnAY8A3gIvLP78ZETNOwFeQJPVjUcs7AkXEUuC5zLypU9ta4FuZ+Wfd9P9t4JvAeZn5Sg9jPgYMz8y5ndr+AfhFZv5utb+DJKn/qtmWZkQMBC4FFnaZtRB4Ww+L/Q7wT8DHI2JTRKyNiHsjYnCnPjO7GfOJI4wpSdIxaazhZ50JNABbu7RvBa7qYZmJwCygHXgfcAbwZWA08P5yn1E9jDnquCuWJKmTWobmsRgAJPB7mflLgIj4I+CJiBiZmV3D8qgi4mZKx0c57bTTLh07diwATU1NNDQ08NprrwHQ2NjIoEGD2L1796HlGDx4MK+99hodHR0AnH766Rw4cID9+/cDcOqppxIR7N27F4BTTjmFpqYm9uzZU/oyAwZw+umnV2WMV199lddffx2AwYMH097ezoEDBwAYNGgQmcm+ffsAGDhwIKeccgqvvvoqAA0NDZx22mlVGWPPnj0c2sU/ZMgQ9u7dy8GDByn/+dLR0UF7e3uhP+NqjOHvyd+Tvyd/T8f7e3ruuedeycyz6EYtQ/MVoAMY2aV9JLClh2U2A22HArPs5+Wf51LaotxSyZiZ+QDwAEBzc3O2trYWrV+S1A9ExMae5tXsmGZm7geWAXO7zJpL6Sza7jwFjO5yDPOC8s9DX6qlwjElSTomtb5O8y7ghoj4cES8JSLuoXR88n6AiFgQEQs69f8bYDvwYERMiYi3U7pk5VuZua3c5x7gtyLikxHx6xHxZ8BvAnfX6DtJkvqJmh7TzMzHImIE8CngHGAl8M7MPLTVeG6X/nsi4ipKJ//8E7AT+C7wyU59no6IDwBfAD4PvAhcl5lLT/DXkST1MzW9TrPeeExTktRVRCzLzObu5nnvWUmSCjI0JUkqyNCUJKkgQ1OSpIIMTUmSCjI0JUkqyNCUJKkgQ1OSpIIMTUmSCjI0JUkqyNCUJKkgQ1OSpIIMTUmSCjI0JUkqyNCUJKkgQ1OSpIIMTUmSCjI0JUkqyNDs5x5//HEmT57M+eefz5e+9KU3zX/ooYc466yzuPjii7n44ov56le/+sa8hx9+mEmTJjFp0iQefvjhN9qXLVvGW9/6Vs4//3zmzZtHZtbku0h9netrHcjMfvu69NJLsz87ePBgTpw4MV988cVsb2/PqVOn5qpVqw7r8+CDD+ZHP/rRNy27ffv2nDBhQm7fvj137NiREyZMyB07dmRm5mWXXZYtLS35+uuv5zve8Y784Q9/WJPvI/Vlrq+1A7RmD7nhlmY/9uyzz3L++eczceJEBg4cyAc+8AH+/u//vtCyTzzxBHPnzmX48OEMGzaMuXPn8vjjj7N582Z27drF5ZdfTkRw/fXX893vfvfEfhGpH3B9rQ+GZj/W1tbGuHHj3ng/duxY2tra3tTv29/+NlOnTuX9738/L7300hGXbWtrY+zYsUcdU1JlXF/rg6GpI3rXu97Fhg0beO6555g7dy4f+tCHerskST1wfT3xDM1+bMyYMW/8TxRg06ZNjBkz5rA+I0aMoKmpCYAPf/jDLFu27IjLjhkzhk2bNh1xTEmVc32tD4ZmP3bZZZexdu1a1q9fz/79+3n00Ue59tprD+uzefPmN6a/973v8Za3vAWAq6++moULF7Jz50527tzJwoULufrqqznnnHMYOnQozzzzDJnJggULePe7313T7yX1Ra6v9aGxtwtQ72lsbOQrX/kKV199NR0dHdx4441MmTKFO+64g+bmZq699lruvfdevve979HY2Mjw4cN56KGHABg+fDif/vSnueyyywC44447GD58OAD33XcfN9xwA3v37uWaa67hmmuu6a2vKPUZrq/1IbIfX5PT3Nycra2tvV2GJKmORMSyzGzubp67ZyVJKsjQlCSpIENTkqSCDE1JkgoyNCVJKsjQlCSpIENTkqSCDE1JkgoyNCVJKsjQlCSpIENTkqSCDE1JkgryKSdVcNPdvV2BToT5t/d2BTpRXGf7plqss25pSpJUkKEpSVJBhqYkSQUZmpIkFWRoSpJUkKEpSVJBhqYkSQUZmpIkFWRoSpJUkKEpSVJBhqYkSQUZmpIkFWRoSpJUkKEpSVJBhqYkSQUZmpIkFWRoSpJUUM1DMyJujYj1EbEvIpZFxBUFl5sVEQcjYmWX9hsiIrt5nXpivoEkqb+qaWhGxHXAPcCdwCXA08CPIuLcoyw3DFgA/KSHLq8B53R+Zea+atUtSRLUfkvz48BDmTk/M3+embcBm4GPHGW5rwEPAy09zM/M3NL5VcWaJUkCahiaETEQuBRY2GXWQuBtR1juVmAk8IUjDD8oIjZGxKaI+H5EXHLcBUuS1EVjDT/rTKAB2NqlfStwVXcLRMRbgc8Al2dmR0R0120NcCOwAhgC/DHwVERMy8y13Yx5M3AzwOjRo1m0aBEAEydOZMiQIaxYsQKAESNGMGXKFBYvXgxAY2Mjs2bNYvny5ezatQuA5uZmtm7dCpxX9M9AJ5HW1lb27NkDwIwZM9i0aRNtbW0ATJ48mYaGBlavXg3AqFGjmDBhAi0tpZ0hgwYNYsaMGSxdupS9e/cCMHPmTNavX8+WLaUdIRdeeCEdHR2sWbMGgDFjxjB27FiWLl0KwODBg2lubqalpYX29nYAZs2axQsvvMC2bdsAuOiii2hvb2ft2tJf9XHjxjFy5EhaW1sBGDp0KNOnT2fJkiUcPHgQgNmzZ7Nq1Sq2b98OwLRp09i9ezfr1q0DYPz48QwfPpzly5cDMGzYMKZNm8aTTz5JZhIRzJkzhxUrVrBz504Apk+fzo4dO9iwYQNwfOvTSy+9BMCkSZNoampi5crSaQxnn302F1xwAUuWLAGgqamJmTNnHtPvCZoq/Nugk8HmzZursj4dSWTmCfwKnT4oYjTQBszJzMWd2u8APpiZk7v0bwL+GfhiZj5Sbvss8P7MvOgIn9MA/Avws8ycd6Sampub89A/LsfjpruPewjVofm393YFOlFcZ/umaq2zEbEsM5u7m1fLLc1XgA5Ku1o7Gwl0dwzyHOAtwIMR8WC5bQAQEXEQeGdmdt3VS3mLtBWYVLXKJUmihsc0M3M/sAyY22XWXEpn0XbVBrwVuLjT637g/5Wnu1uGKO3DnUrpBCNJkqqmlluaAHcBj0TEs8BTwC3AaEphSEQsAMjM6zPzAND1msxtQHtmruzU9hngGWAtMBSYRyk0j3ZGriRJFalpaGbmYxExAvgUpd2vKyntZt1Y7nLE6zV7cAbwADAK+CWl46CzM/PZ469YkqRfqfWWJpl5H3BfD/OuPMqynwU+26XtY8DHqlOdJEk9896zkiQVZGhKklSQoSlJUkGGpiRJBRmakiQVZGhKklSQoSlJUkGGpiRJBRmakiQVZGhKklSQoSlJUkGGpiRJBRmakiQVZGhKklSQoSlJUkGGpiRJBRmakiQVZGhKklSQoSlJUkGGpiRJBRmakiQVZGhKklRQRaEZEQMiYkCn96Mi4sMR8fbqlyZJUn2pdEvzB8BtABExGGgF/gpYFBHXV7k2SZLqSqWh2Qz8tDz9XmAXcDZwE/CJKtYlSVLdqTQ0BwP/Xp7+beA7mXmAUpCeV8W6JEmqO5WG5r8Bb4+I04GrgR+X24cDr1WzMEmS6k1jhf3vAh4B9gAbgcXl9tnA81WsS5KkulNRaGbmX0fEMmAc8OPMfL0860Xg09UuTpKkelLpliaZ2UrprNnObT+oWkWSJNWpim9uEBG3RsSqiHgtIiaW2/40Iv5z9cuTJKl+VHpzg9uBTwEPANFp1svAH1WvLEmS6k+lW5q3ADdl5j3AwU7ty4EpVatKkqQ6VGlo/hqwspv2A8Cg4y9HkqT6VWlorgOmd9P+TmD18ZcjSVL9qvTs2f8BfCUiTqN0THNmRPxX4E+AG6tdnCRJ9aTS6zQfjIhG4E7gNEo3OngZmJeZj52A+iRJqhvHcp3mfGB+RJwJDMjMbdUvS5Kk+lNxaB6Sma9UsxBJkurdUUMzIp4D5mTmzoh4Hsie+mbm1GoWJ0lSPSmypfltoL3TdI+hKUlSX3bU0MzMz3Wa/uwJrUaSpDpW6W30fhoRZ3TTPjQiflq1qiRJqkOV3tzgSmBgN+2nAlccdzWSJNWxQmfPRkTnuwBNjYgdnd43AFcDbdUsTJKkelP0kpNWSicAJbCwm/l7gduqVZQkSfWoaGhOoHTbvHXAbwC/6DRvP7AtMzuqXJskSXWlUGhm5sbyZMUPrZYkqa8ocnOD9wL/NzMPlKd7lJl/V7XKJEmqM0W2NL8FjAK2lad7kpROCpIkqU8qcnODAd1NS5LU3xiCkiQVVPSYZiEe05Qk9WVFj2kW4TFNSVKfVtExTUmS+jMDUZKkgrxOU5KkgopsaX4LGNZpuqfXN4t8YETcGhHrI2JfRCyLiB6fjhIRcyLi6YjYHhF7I+JfI+IT3fR7X0Ssjoj28s/3FKlFkqRKHDU0M3NAZm7rNN3T66gnAUXEdcA9wJ3AJcDTwI8i4tweFtkD3AvMBi4EvgB8LiJu7TTmTOAx4BvAxeWf34yIGUerR5KkStT6mObHgYcyc35m/jwzbwM2Ax/prnNmLsvMRzNzVWauz8yvA09w+LM7bwd+lpl/Xh7zz4FF5XZJkqqm4tCMiOkRsSAiWsuvR7o8b7On5QYCl/LmR4stBN5W8LMvKfd9slPzzG7GfKLomJIkFVX00WAARMQHgQXAT4EflpsvB56NiBvKW4I9OZPSdZxbu7RvBa46yuduAs4q1/u5zLy/0+xRPYw5qoexbgZuBhg9ejSLFi0CYOLEiQwZMoQVK1YAMGLECKZMmcLixYsBaGxsZNasWSxfvpxdu3YB0NzczNatW4HzjlS+TlKtra3s2bMHgBkzZrBp0yba2krPWp88eTINDQ2sXr0agFGjRjFhwgRaWloAGDRoEDNmzGDp0qXs3bsXgJkzZ7J+/Xq2bNkCwIUXXkhHRwdr1qwBYMyYMYwdO5alS5cCMHjwYJqbm2lpaaG9vR2AWbNm8cILL7Bt2zYALrroItrb21m7di0A48aNY+TIkbS2tgIwdOhQpk+fzpIlSzh48CAAs2fPZtWqVWzfvh2AadOmsXv3btatWwfA+PHjGT58OMuXLwdg2LBhTJs2jSeffJLMJCKYM2cOK1asYOfOnQBMnz6dHTt2sGHDBuD41qeXXnoJgEmTJtHU1MTKlSsBOPvss7ngggtYsmQJAE1NTcycOfOYfk/QVOHfBp0MNm/eXJX16UgiMwsXFBEbgAcy884u7X8G/GFmjj/CsqOBNmBOZi7u1H4H8MHMnHyEZScAgykF9F8Af5yZj5Tn7Qc+nJkLOvW/HpifmUdcM5qbm/PQPy7H46a7j3sI1aH5t/d2BTpRXGf7pmqtsxGxLDObu5tX6e7Zs4D/0037N4Gzj7LsK0AHMLJL+0hgy5EWLB/PfD4z5wN3AZ/tNHvLsYwpSVKlKg3NnwFXdtN+JYcfZ3yTzNwPLAPmdpk1l9JZtEUN4PB9Ky1VGFOSpKOq9IbtPwK+GBHNwDPltsuB93L41l9P7gIeiYhngaeAW4DRwP3lz1oAkJnXl9/fBqwH1pSXnw18Ariv05j3AIsj4pPAd4H3AL8JzCpQjyRJhR3rDdvfOJmmky9zeJi9SWY+FhEjgE8B5wArgXdm5sZyl67XazZQOoY5HjgIvAh8knLIlsd8OiI+QOkazs+X+1yXmUuP+s0kSapAzW/Ynpn30UO4ZuaVXd7fDdxdYMxDdyWSJOmE8YbtkiQVVNF1mgARMQy4htKu1IGd52Xm56tUlyRJdafSmxtcDvwAaKd0+UkbpWOT7cAGSscUJUnqkyrdPftXlG6IPgbYB/wWpS3OVkon7EiS1GdVGppTga9k6TZCHUBTZm4F/pRil5xIknTSqjQ093ea3gr8Wnl6D6XrLSVJ6rMqPRFoOXAZ8AKlx299ISJGAv8FeK66pUmSVF8q3dL8b8DL5elPAb+gdFODYbz5ZgeSJPUpFW1pZmZrp+lfULr0RJKkfqHi6zQBIuI84C3lt6szc131SpIkqT5Vep3mCOBrwLXA679qju8DN2bm9irXJ0lS3aj0mOZXgfOBK4BTy6/ZwARgfnVLkySpvlS6e/Zq4D9kZkuntqci4g+Bf6heWZIk1Z9KtzR/AbzaTftrgLtmJUl9WqWh+Xng7ogYc6ihPP0/8b6zkqQ+7qi7ZyPieSA7NU0ANkREW/n9ofvQnk3pmKckSX1SkWOaPtxZkiQKhGZmfq4WhUiSVO+O9eYGvwVcSGm37arMXFTNoiRJqkeV3txgDPAd4FJ+dQ/a0RHRCrwnM1/ucWFJkk5ylZ49ey+l52ien5njMnMcMKncdm+1i5MkqZ5Uunt2LnBlZq4/1JCZ6yJiHvCTqlYmSVKdqXRLEw6//ORIbZIk9SmVhuZPgC9HxLhDDRFxLnA3bmlKkvq4SkNzHnA6sC4iNkbERuDFctu8ahcnSVI9qfSY5nbgN4ArgV8vt/08M71ZuySpzyscmhHRAPwSmJaZPwZ+fMKqkiSpDhXePZuZHcBGYOCJK0eSpPpV6THN/w58KSLOPBHFSJJUzyo9pvkJSk85aYuITXR5tmZmTq1WYZIk1ZtKQ/NblK7JjBNQiyRJda1QaEbEacBfAb8DnELpmszbMvOVE1eaJEn1pegxzc8BNwA/AP4WuAr43yeoJkmS6lLR3bPvBf4gMx8FiIhvAE9FREP5rFpJkvq8olua44B/PPQmM58FDgKjT0RRkiTVo6Kh2QDs79J2kGN8iLUkSSejoqEXwNcjor1T26nA/Ih47VBDZl5bzeIkSaonRUPz4W7avl7NQiRJqneFQjMzf/9EFyJJUr07lodQS5LULxmakiQVZGhKklSQoSlJUkGGpiRJBRmakiQVZGhKklSQoSlJUkGGpiRJBRmakiQVZGhKklSQoSlJUkGGpiRJBRmakiQVZGhKklSQoSlJUkGGpiRJBRmakiQVVPPQjIhbI2J9ROyLiGURccUR+p4TEX8TEf8aER0R8VA3fW6IiOzmdeoJ/SKSpH6npqEZEdcB9wB3ApcATwM/iohze1ikCXgF+BKw9AhDvwac0/mVmfuqVbckSVD7Lc2PAw9l5vzM/Hlm3gZsBj7SXefM3JCZ8zLzIWDHEcbNzNzS+VX90iVJ/V3NQjMiBgKXAgu7zFoIvO04hx8UERsjYlNEfD8iLjnO8SRJepPGGn7WmUADsLVL+1bgquMYdw1wI7ACGAL8MfBUREzLzLVdO0fEzcDNAKNHj2bRokUATJw4kSFDhrBixQoARowYwZQpU1i8eDEAjY2NzJo1i+XLl7Nr1y4Ampub2bp1K3DecZSvetXa2sqePXsAmDFjBps2baKtrQ2AyZMn09DQwOrVqwEYNWoUEyZMoKWlBYBBgwYxY8YMli5dyt69ewGYOXMm69evZ8uW0o6QCy+8kI6ODtasWQPAmDFjGDt2LEuXlo5EDB48mObmZlpaWmhvbwdg1qxZvPDCC2zbtg2Aiy66iPb2dtauLf1VHzduHCNHjqS1tRWAoUOHMn36dJYsWcLBgwcBmD17NqtWrWL79u0ATJs2jd27d7Nu3ToAxo8fz/Dhw1m+fDkAw4YNY9q0aTz55JNkJhHBnDlzWLFiBTt37gRg+vTp7Nixgw0bNgDHtz699NJLAEyaNImmpiZWrlwJwNlnn80FF1zAkiVLAGhqamLmzJnH9HsqHflRX7N58+aqrE9HEpl5Ar9Cpw+KGA20AXMyc3Gn9juAD2bm5KMs/33glcy84Sj9GoB/AX6WmfOO1Le5uTkP/eNyPG66+7iHUB2af3tvV6ATxXW2b6rWOhsRyzKzubt5tTym+QrQAYzs0j4SqNoxyMzsAFqBSdUaU5IkqGFoZuZ+YBkwt8usuZTOoq2KiAhgKqUTjCRJqppaHtMEuAt4JCKeBZ4CbgFGA/cDRMQCgMy8/tACEXFxeXIo8Hr5/f7MXF2e/xngGWBtuc88SqHZ7Rm5kiQdq5qGZmY+FhEjgE9Rup5yJfDOzNxY7tLd9Zr/3OX9u4CNwPjy+zOAB4BRwC/L/Wdn5rNVLV6S1O/VekuTzLwPuK+HeVd20xZHGe9jwMeqUpwkSUfgvWclSSrI0JQkqSBDU5KkggxNSZIKMjQlSSrI0JQkqSBDU5KkggxNSZIKMjQlSSrI0JQkqSBDU5KkggxNSZIKMjQlSSrI0JQkqSBDU5KkggxNSZIKMjQlSSrI0JQkqSBDU5KkggxNSZIKMjQlSSrI0JQkqSBDU5KkggxNSZIKMjQlSSrI0JQkqSBDU5KkggxNSZIKMjQlSSrI0JQkqSBDU5KkggxNSZIKMjQlSSrI0JQkqSBDU5KkggxNSZIKMjQlSSrI0JQkqSBDU5KkggxNSZIKMjQlSSrI0JQkqSBDU5KkggxNSZIKMjQlSSrI0JQkqSBDU5KkggxNSZIKMjQlSSrI0JQkqSBDU5KkggxNSZIKMjQlSSrI0JQkqSBDU5KkggxNSZIKMjQlSSqo5qEZEbdGxPqI2BcRyyLiiqP0n1Puty8i1kXELcc7piRJx6KmoRkR1wH3AHcClwBPAz+KiHN76D8B+GG53yXAF4EvR8T7jnVMSZKOVa23ND8OPJSZ8zPz55l5G7AZ+EgP/W8BXs7M28r95wMPA584jjElSTomNQvNiBgIXAos7DJrIfC2Hhab2U3/J4DmiDjlGMeUJOmYNNbws84EGoCtXdq3Alf1sMwo4B+66d9YHi8qHTMibgZuLr/dExFrihSvN5wJvNLbRdTCVz/W2xVIVeE6W7lf62lGLUOzLmTmA8ADvV3HySoiWjOzubfrkFSM62x11TI0XwE6gJFd2kcCW3pYZksP/Q+Wx4tjGFOSpGNSs2OambkfWAbM7TJrLqUzXrvT0kP/1sw8cIxjSpJ0TGq9e/Yu4JGIeBZ4itLZsaOB+wEiYgFAZl5f7n8/8EcRcTfw18DbgRuA3y06pqrOXdvSycV1tooiM2v7gRG3An8CnAOsBD6WmYvL8xYBZOaVnfrPAf4XMAV4GfiLzLy/6JiSJFVLzUNTkqSTlfeelSSpIENTkqSCDE1JkgoyNFVIRETnn5LUH3kikI7JofBM/wJJ6kf63W30VJmIGAC8GzgLOA1oA57MzG29Wpgk9QK3NNWjiBgCfA34TeB1YBOQwD7gSeCRzPzXiAi3OKXeFxGnABOAjZnZ3tv19EUe09SRzAMmA+/MzJHAB4G7geeB3wb+MiLOMjCluvFR4J+B+yPiXRExKiIaOneIiKERcU05YFUhtzTVo4j4R+A7mXlXl/YGSrc0/BrwYma+ozfqk3S4iGihtCeokdIzhf8N+A7wd8DzmfnLiLgFuCEzL++9Sk9ebmmqWxHRSOmWhO+LiLPKbQ0RMSAzO8q3KbwFGBsR03qzVklQXk8PAPMz8wpKz4T8GvAfgcXATyPiT4HbgaW9VefJztBUtzLzIPAwpQeBfyIiRpbD8vVO3V4AxtNPHnAr1blGSluV2wEyc1NmfiEzLwAuBZ6hdI/uC4C/7LUqT3LunlW3ymfNDgB+H7iT0gr5beAxSrt8plL6H+yFmXlZb9Up6VciYhClK8H2db6m+tB5BxHx55TOUbikt2o82RmaOqqIOIPSI9l+D7gY2E3puMk/AV/MTHf1SHWip7PZI+I0YDnwYGb+Re0r6xsMTb1JRAwFdnde8cpbnqcCg4GLgFcNS6k+dLfOdtPnVOA64G8zc3/NiutjDE29SUT8NfBs+bUxM3d102dYZu70Gk2p9xVcZ8/IzH+vdW19jaGpw0TE7wLfAHYBO4AfA08AzwFtmbk3IgYDXwc+nZnP91qxknpaZx+ntM6+XF5nBwGPAv8tM1f2WrF9gKGpw0TEfKCD0tl17wU+BJwHrAF+CPyE0g0P7snMgb1Vp6QS19naMjT1hvK1mX8CDM3MT3ZqnwLcBLyf0nHNM4CHM/MPeqNOSSWus7VnaOowETEMGFm+p+xA4ECXE4KuA/4WmJ6Z/9JLZUoqc52tLZ9yosNk5k5gZ3l6P7xx5mxkZgcwFNjnyifVB9fZ2jI0dVRd7gI0BPhMb9Ui6ehcZ08cd8+qIuUnI3S9nZ6kOuU6W12GpiRJBXnDdkmSCjI0JUkqyNCUJKkgQ1OSpIIMTUmSCjI0JUkq6P8DBwt/UyiXtZUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Simulating using Statevector simulator \n",
    "backend = Aer.get_backend('statevector_simulator') \n",
    "job = execute(qc,backend) \n",
    "result = job.result()\n",
    "\n",
    "counts = result.get_counts()\n",
    "plot_histogram(counts)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "b41b1064-8993-4913-9c51-27383216960a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAKoAAAB7CAYAAADkFBsIAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/YYfK9AAAACXBIWXMAAAsTAAALEwEAmpwYAAAJYklEQVR4nO3dfUxV9x3H8fc5l4toMa2WVKs8CCguMkC0omIiuK0Gs7Vlq49piSKJVFyzLnOdjdU/RkpatZ1tukTTxrmmk3biQ7RV0roBaqRuVAtTNzEIIqsPBdGBowj3nv1xC/VeHu6FXu45v/F9JeePey78ztfk4+/c3+Hc89UMwzAQwuJ0swsQwhcSVKEECapQggRVKEGCKpQgQRVKkKAKJUhQhRIkqEIJElShBAmqUIIEVShBgiqUIEEVSpCgCiVIUIUSJKhCCRJUoQQJqlCCBFUoQYIqlCBBFUqQoAolSFCFEiSoQgkSVKGEILMLsLpfXbxAZUuLKcdOGj2a16dOM+XYViNB9aKypYXjzbfMLmPYk1O/UIIEVShBgiqUIEEVSpCgCiVIUIUSJKhCCRJUoQQJqnDT3gktbdDpMLsSd5YOqtPpZNu2bUyZMoWQkBCSkpIoKytj6tSprFmzxuzyemV0dNDx3M9x7HzHbb/jwEE6nl2J0dpqUmX9q7kJ75TChg9h0354aS/8+W/QZJFyLR3UnJwc8vPzyc3N5ejRoyxdupQVK1Zw+fJlZs6caXZ5vdLsdoI2/BrnR0dwnv0CAKO2FueuP2J7cT1aaKi5Bfaiohbe/hQu/Bu6ejl1OKD8Erx+FL5sNrU8wMJBLSwsZPfu3Rw6dIj169ezYMECNm7cyNy5c+ns7GTGjBlml9gnbVIU+uqVOLb9DuPWLTpf3Yr+1BPoiQlml9ZD813YU+4KqGfDMQNo64BdJ8Bpcjcyywa1oKCAjIwM0tLS3PZPnjwZu91OYmIiAHV1daSlpREXF0dCQgInTpwwo9we9Myn0CIj6MxdBzYb+soss0vq1alL/YfQMKCxBS5dD1xNvbFkUBsaGjh37hxLlizp8V59fT3x8fGMGDECgNzcXJYtW0Z1dTU7d+5k+fLl3Lt3z+sxNE3zaSstLR3Uv0HTNLTEBLhzB/2HP0Cz2wc8Rmlpqc91DnZ772A53po3GoZB9i9eGZLj+8qyQQUYP3682/62tjbKysq6T/uNjY2cPHmSnJwcAFJTU5kwYQIlJSWBLbgXRm0tzj0foC9bgvP9PRg3b5pdUq803eZDYAx03RaQevpiyaCGhYUBUF1d7bZ/y5YtXLt2rXshVV9fz7hx47pnV4Do6GiuXLni9RiGYfi0paenD7h+416H63PpzzKx5WSjzZuLY+sbGE7ngMZJT0/3uc7BboszUrzWoWk6b7+2YUiO7ytL3jgdExNDYmIiBQUFjB07lokTJ1JUVMSRI0cALLvi7+Lc9Qe0oCD0rGcAsOU9R2fuOpz7DmBb8rTJ1bmbFwcnL/X9vgY8MAISIgJWUq8sOaPqus7evXuJj49n7dq1ZGdnExYWxrp167DZbN0LqcjISG7cuEF7e3v379bW1hIVFWVW6TjPfoHzSDG2DS+iBbnmAW3UKGy/WY/zvfcxamtNq603jz4EGd9cjPD8AKABmgbPzgObyUnRVGqDnpWVRWVlJVVVVd37Fi5cSGZmJnl5eZw6dYrFixdTV1dHcHCwX475o4rTpn0VZf6YsRx7bHZAjnW6Bj49B433XeCPfQR+nAQxjwSkhH5Z8tTfl4qKCubMmeO2b8eOHaxatYrt27cTHBxMYWGh30I6nMyOhZQY+OUe1+uXn4Sw0ebWdD9lgtra2kp1dTV5eXlu+2NiYjh+/LhJVf1/uX/xb6WQgkJBDQ0NxeGw2J0SImAsuZgSwpMEVShBgiqUIEEVSpCgCiVIUIUSJKhCCcpcRzVL0mjzrnybeWyrkaB6Ic8ntQY59QslSFCFEiSoQgkSVKEECapQggRVKEGCKpQgQRVKkKAKJUhQhRIkqEIJElShBAmqUILcPeWFdJe2BgmqF9Jd2hrk1C+UIEEVSpBTv6D5LlRdhYb7PuG89QlMGAORD0NiBIQM/MnufiVBHcau3YaPK+F8Q8+OKJe/cm0A+/4Os6JhUZLrob5mkKAOQ04D/nIeiv8BDh+e1t7e6XoqdeVVWD4b4sOHvkZP8hl1mHEa8OFp10zqS0jv1/I1vFvmeuhvoElQh5niqu8WNAP44DP455d+K8knEtRhpK7R9fjz/mx/xrX1x8A1K7d5b+flN5YOqopNe63swOc9F02Ddfu/cOy8nwbzgaWDqmLTXqt2l77aBFca/TvmZzWBa5du2VV/V9Pe0tLS7n6oCxYs4MyZM+zfv9+yTXu7ukt3Pv8CWsos9OTp33aXfuW3pnWXPuO9R9yA3W2Hi9cCcxXAsjOqr017N2/eTFxcHLquU1RUZEapPVixu3R90xCNG6DbICwZ1IE07c3IyKC4uJj58+cHusx+Wa279PU7QzTu7aEZ15MlT/3emvYuWrSoe19qauqgjuFrZ2Pb1lfRkxIHNb6WmIDx+Rn05UsH31161hzvP+iDvHdbsYc80P3a28q+r/df+JP764OHP2Z12k8GXZev/fgsOaP62rTXyqzWXbqz4+shGddxb2jG9WTJGTUQTXt9/Z88mBaTbt2ls1diNDfj2PoGttcK0HTf54b09HSO+akD6JufQO1X3772nBm7dM2kfb3vKW/103z05tB3KbXkjOpr016r6q27tHH9Bs59B0yrKWKsWuN6suSMChAXF0dJSYnbvqysLKZNm8bIkSNNqsq7ru7SQb9/q0d3acdLL6M/NgMtOjrgdSVHwfGL/h1zpB2mPurfMftiyRm1LxUVFT1O+5s2bSI8PJzy8nJyc3MJDw+npsaEuya+oSdPx35oP1qE+8VF/fvx2A8fMCWkAJPCIHyMf8dMiYXgAE11ygS1q2mv54X+/Px8GhoaaG9vp6mpiYaGBmJjY02q0ro0DTL9uAYNDYHH4/03njeWPfV7kqa9393kcZD2PSj7V98/4+siammKK6yBosyMKvzjyWSYHvndxvjpTNfXUwJJmRlV+IdNh6x58HAo/PXCwO6mGmmHxSkwc9JQVdc3CeowZNPhiWRIiIDDZ6HGy98ibDokR7p+58FRganRkwR1GJsUBs8/7roPoKoert6Cm/+BTieMsMOEh1zfQk2OgtEB/DzaGwmqYPyDMN68G7t8IospoQQJqlCCnPq9kKa91qAZvt5GJISJ5NQvlCBBFUqQoAolSFCFEiSoQgkSVKEECapQggRVKEGCKpQgQRVKkKAKJUhQhRIkqEIJElShBAmqUIIEVShBgiqUIEEVSvgf6QOGDqhvnuIAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 206.852x144.48 with 1 Axes>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Quantum circuit with 2 qubits. \n",
    "# Adding X gates to both qubits, and then a CX gate with qubit 0 as control and qubit 1 as target\n",
    "qc = QuantumCircuit(2)\n",
    "qc.x(0)\n",
    "qc.x(1)\n",
    "qc.cx(0,1)\n",
    "qc.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "c316b922-7661-48a0-8a94-d2e574a7c3e7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Simulating using Statevector simulator \n",
    "backend = Aer.get_backend('statevector_simulator') \n",
    "job = execute(qc,backend) \n",
    "result = job.result()\n",
    "\n",
    "counts = result.get_counts()\n",
    "plot_histogram(counts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "25f44762-f27b-4260-b304-320e134ab650",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$$\n",
       "\\text{Statevector} = \n",
       "\\begin{bmatrix}\n",
       "0 & 1 & 0 & 0  \\\\\n",
       " \\end{bmatrix}\n",
       "$$"
      ],
      "text/plain": [
       "<IPython.core.display.Latex object>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Simulating using Statevector simulator \n",
    "backend = Aer.get_backend('statevector_simulator') \n",
    "job = execute(qc,backend) \n",
    "result = job.result()\n",
    "\n",
    "state = result.get_statevector()\n",
    "array_to_latex(state, prefix=\"\\\\text{Statevector} = \") # Visualizing as matrix "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "5d882dfa-c731-4b22-bef7-ffaea09e2dba",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 2 Qubit quantum circuit. Adding an X gate to qubit 0\n",
    "# Simulating using Statevector simulator \n",
    "qc = QuantumCircuit(2)\n",
    "qc.x(0)\n",
    "\n",
    "backend = Aer.get_backend('statevector_simulator') \n",
    "job = execute(qc,backend) \n",
    "result = job.result()\n",
    "\n",
    "counts = result.get_counts()\n",
    "plot_histogram(counts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "20a8e378-f449-46ad-9ca7-219ce5d95f66",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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Cf93Zvqsm46Jhwo2QdW1XVdb9nK2ze2ebv2vf63r1sEMldUDX1OWPQuEitv8ofPgV7D3ifzu3CzIHwS8y4TIHLjDqDnaX23e7auu6iGg33Jhkn/vh1P0wFQrCoZOwo9S+w8+RU/aNPWKjof/l9t2cMxPtby7pvNJK+25MZZVwtNrutcXFXLib88hEuCTG2RoVCiJi0ESjiBgUCiJiUCiIiEGhICIGhYKIGBQKImJQKIiIQaEgIgaFgogYFAoiYlAoiIhBoSAiBoWCiBgUCiJiUCiIiEGhICIGhYKIGBQKImJQKIiIQaEgIgaFgogYFAoiYvh/Eb47AkW4fCUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 327.252x144.48 with 1 Axes>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Adding three CX gates to the circuit\n",
    "# The first CX gate has qubit 0 as control and qubit 1 as target\n",
    "# The second CX gate has qubit 1 as control and qubit 0 as target\n",
    "# The third CX gate has qubit 0 as control and qubit 1 as target\n",
    "\n",
    "qc.cx(0,1)\n",
    "qc.cx(1,0)\n",
    "qc.cx(0,1)\n",
    "qc.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "c3de6b36-5b55-4b67-8dba-a56801b0a2ca",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Simulating using Statevector simulator \n",
    "\n",
    "backend = Aer.get_backend('statevector_simulator') \n",
    "job = execute(qc,backend) \n",
    "result = job.result()\n",
    "\n",
    "counts = result.get_counts()\n",
    "plot_histogram(counts)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Qiskit v0.34.2 (ipykernel)",
   "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": "3.8.12"
  },
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "state": {},
    "version_major": 2,
    "version_minor": 0
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}