Entanglement.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "#IMPORTS\n",
    "import qiskit\n",
    "import numpy as np\n",
    "from qiskit import *\n",
    "from qiskit.visualization import plot_histogram\n",
    "from qiskit.visualization import plot_bloch_vector"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 156.52x144.48 with 1 Axes>"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc = QuantumCircuit(2) #make a QC with 2 quantum bits both initialized to |0>\n",
    "qc.draw(output='mpl') #draw the circuit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAN8AAAB7CAYAAAD0dFXUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAJcklEQVR4nO3df0zU9x3H8ecdIBwgHT8qpLTaMg4VCnTSOVE3Z7I6R7ZsMbYLFZdAWjqKSVvjH2uIcYkLNsY/6h+N+5nJYlkysa5m0j9cYomrNYHW4ZhdD8cqhVEqtBZwYPlx+4OovSoKcndvuO/rkdwffu7uy/uPe/q5+94duPx+vx8RCTu39QAiTqX4RIwoPhEjik/EiOITMaL4RIwoPhEjik/EiOITMaL4RIwoPhEjik/EiOITMaL4RIwoPhEjik/EiOITMaL4RIwoPhEjik/EiOITMaL4RIwoPhEjik/EiOITMaL4RIwoPhEj0dYDyPQ8/6rNz315i83PdQLtfCJGFJ+IEcUnYkTxiRhRfCJGFJ+IEcUnYkTxiRhRfDLnjIzC4DCMT1hPElqOi29iYoJ9+/bh9XqJi4ujsLCQpqYmli5dSmVlpfV4QfPbbffR9ubvAtb8fj8HnkriQvNRo6lu73w3vPJX+NmfYOdrUNMAf34HBoatJwsNx328rKKigqNHj7Jz506Kioo4ffo0paWlXLp0ie3bt1uPFxRDn3Rz5XIP9y4uDFj/7OMOPh8ZJD3rUaPJpnbyPXj9XXC5bqyNjMKb/4KzF+G5DZCSaDdfKDhq56uvr6euro5jx46xY8cO1q9fT01NDcXFxYyNjVFUVARAb28vGzZsID4+nsLCQs6ePWs8+cz0djTjckeRen9ewHpfZyvx96SzMPUBo8lu7cP+yfAA/P6brx8YhkOnwztTODgqvj179rBx40bWrVsXsJ6dnU1MTAz5+fkAVFVVsWzZMvr7+6murmbz5s2Mj49bjHxXejuaSc7IIXqBJ2D9Umcrix6ae7veKR+4bnO9H+i4BP/9NFwThYdjnnZ2dXXR1tbGCy+8cNN1nZ2d5OXlERsby+DgIMePH6e7uxuPx0NlZSW1tbWcOXOGNWvWhGQ2l+t2D71Jzx26xZYwhd6OZi73XuBXP00LWB+9OsSjP3gx6LPNVsX+iyxMXXzH233vx9s4d+KVkM8zW/5bbd+34Kj4ADIyMgLWh4eHaWpqoqSkBID29nZSU1NJS7vxwM3Pz+f8+fMhiy/Yev/Twjc2/Zzla38SsP7qi/mkz8Gdz+WOmtbt3NO83XzhmKed12Ly+XwB63v37qWnp4cVK1YAcOXKFZKSkgJuk5SUxNDQUMhm8/v9d7xM1+WPLnD1yqcsKfguC1Pvv34ZHx3h6v8us2iGJ1umM9tsL8X5mbd92nnNkT/sD8s8s71Ml2N2vqysLAoKCqitrSUlJYXMzEwaGhpobGwEuH6yJSEhgcHBwYD7DgwMkJg4P0619XY0Ex0bf9OZzp720ySmPkDCPelGk01tbQ78o2vq613AonvgoXvDNlJYOGbnc7vdHD58mLy8PKqqqigvLyctLY3q6mqio6MpKCgAwOv10tfXR39///X7trW1kZubazX6jPR2NJP+0NdxRwX+v9pz4e05+ZQTICcDVntvfZ3LBdFRsKU48G2ISODyz2SfjEBbt26ltbWVc+fOXV/btGkTixcv5qWXXuLQoUPU1tbS3t5OVJTda45I/zUSfj80vQ8nz8NnX3hTPfc++P4jcF9yeOYIJ8c87ZxKS0sLq1atClg7cOAAZWVlJCcn4/V6OXLkiGl4TuBywbeXwbdyYPsfJ9d2/QiSE2znCiVHxzc0NITP5+PZZ58NWE9PT+fEiRNGUzmb+wsvhCI5PHB4fImJifPqzXOJLI454SIy1yg+ESOKT8SI4hMxovhEjCg+ESOKT8SIo9/nm0/014Iij3Y+ESOKT8SI4hMxovhEjCg+ESOKT8SI4hMxovhEjCg+ESOKT8SI4hMxovhEjCg+ESOKT8SI4hMxovhEjCg+ESOKT8SI4/9KkcwNvQNwvhs+7Id3L06uZadDZjIsSYWH74cFEfZLTxSfmPqgDxpbwffR7W/nWQCrs2HDwxAbE57ZQk3xiYnxCfjL3+HN92AmD8CUBNiyGr66KGSjhY3ik7AbG4ffn4J/dt/d/aPcUP7Nyaei85lOuEjYNTTffXgwuWsePDX5+nA+U3wSVm1dcObft7/Ny1vu/HtKxyag/u3JXXS+clx8ExMT7Nu3D6/XS1xcHIWFhTQ1NbF06VIqKyutx4toExNw9J3gHa/nM3irPXjHCzfHxVdRUcHu3bt55plneOONN3jiiScoLS2lo6ODoqIi6/Ei2ns90D8U3GO+1Q7z9ayFo+Krr6+nrq6OY8eOsWPHDtavX09NTQ3FxcWMjY1dj2/Xrl3k5ubidrtpaGgwnjpyvPtB8I/58QB0fRL844aDo+Lbs2cPGzduZN26dQHr2dnZxMTEkJ+fD4DX62X//v2sXLnSYsyI1RmiEySdim9u6+rqoq2tjccff/ym6zo7O8nLyyM2NhaAsrIyHnvsMeLi4sI9ZsQaG4dLg6E59keXQ3PcUIuwD+xMraurC4CMjIyA9eHhYZqamigpKbEYCwCXy2X2s8NlgWchVb8ZCFi70xnNqa5//tXAf//y179j88qnZjFdcE33rXPH7HxpaWkA+Hy+gPW9e/fS09PDihUrLMZyjPHRq8D0H5gzMfb5cNCPGQ6O2fmysrIoKCigtraWlJQUMjMzaWhooLGxEcD0TKdTPmT0i9ehb+jGLv/lHeyaazveVNd/2e6abayt2zbL6cLPMTuf2+3m8OHD5OXlUVVVRXl5OWlpaVRXVxMdHU1BQYH1iBHvgdQQHTclNMcNNcfsfAA5OTmcPHkyYG3r1q0sX74cj8dzfW10dJTx8XEmJiYYHR1lZGSE2NhYR7w2C6WvLYGzF4N7zNTE0EUdao7Z+abS0tJy01POp59+Go/Hw6lTp3jyySfxeDxcvBjkR40D5WXCV+KDe8w1XnDP0/8THR3f0NAQPp/vppMtBw8exO/3B1wefPBBmyEjSJQbfhjE81r3LoS1OcE7XrjpK0USdnV/m/3TT7cLtn0Hsubx9/ocvfOJjdJV4E2/+/u7XVC2en6HB9r5xMjoOLzWAm9fmNn9FsZNxpubGZq5wknxian3e+B4650/9xkTBSuzoKQQEmLDM1uoKT6ZEzr7J7/d/mE/9A1Nflvds+DGby97ZAnEL7CeMrgUn4gRnXARMaL4RIwoPhEjik/EiOITMaL4RIwoPhEjik/EiOITMaL4RIwoPhEjik/EiOITMaL4RIwoPhEjik/EiOITMaL4RIwoPhEjik/EiOITMaL4RIz8H6N4Y231NtnYAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 276.92x144.48 with 1 Axes>"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc.h(0)\n",
    "qc.cx(0,1) #control qbit 0 and target qbit 1\n",
    "qc.draw(output='mpl') #draw the circuit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 276.92x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cr = ClassicalRegister(2) #make a classical register to map the measurement of both qbits to\n",
    "qc.add_register(cr)\n",
    "qc.draw(output='mpl') #draw the circuit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit.circuit.instructionset.InstructionSet at 0x3415ad88>"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc.measure(0,0) #MEASURE THE QUANTUM CIRCUIT (COLLAPSE THE WAVEFUNCTION) BY MAPPING TO CLASSICAL BITS\n",
    "qc.measure(1,1) #MEASURE THE QUANTUM CIRCUIT (COLLAPSE THE WAVEFUNCTION) BY MAPPING TO CLASSICAL BITS"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 397.32x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc.draw(output='mpl') #draw the circuit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'00': 49715, '11': 50285}\n"
     ]
    }
   ],
   "source": [
    "emulator = Aer.get_backend('qasm_simulator') #GET THE SIMULATOR BACKEND (NO NOISE) \n",
    "\n",
    "job = execute( qc, emulator, shots=100000 ) #SIMULATE THE QC DRAWN ABOVE FOR 100000 ITERATIONS\n",
    "\n",
    "hist = job.result().get_counts() #GET THE RESULT OF THE SIMULATOR AND PRINT \n",
    "print(hist)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAc0AAAE+CAYAAADvQ0uqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAgAElEQVR4nO3dfZzWdZ3v8dcn7gQCnCHCGRUJQQRkaZTTpimaZmm7bXmzuR5bzWo9Zaubbtm61VF3yzaz0u3UmrblTeVaSbq1cXQNN/OmLMRJZJogBA4yIiICAjIwfs4f1wU7DDPDb+CaG4bX8/G4HlzX9/f9/ebzc7x48/3+7iIzkSRJu/ea3i5AkqR9haEpSVJBhqYkSQUZmpIkFWRoSpJUkKEpSVJBhqYkSQX1eGhGxMUR8UxEvBIR8yLihN30HxwR/1BeZ0tELI+IS9v0OSsiFpaXL4yIM7p3LyRJ+6MeDc2IOAe4EbgWqAMeBeZExLhOVrsTOA24CJgM/Dnw21bbPBa4C/gu8Mbynz+IiD/ujn2QJO2/oifvCBQRvwJ+m5l/1aptEfDDzLyynf5vB34AHJ6ZL3SwzbuA6sw8tVXbA8DqzDy30vsgSdp/DeypHxQRg4FjgOvbLLofOK6D1d4D/Bq4PCLOBzYDc4C/z8yXy32OBb7aZr37gL/eXU2jR4/OceM6G+RKkvY3Tz755AuZOaa9ZT0WmsDrgAHAqjbtq4C3dbDOBOB4YAtwFnAgpYCsBc4u9zmog20e1N4GI+IiSlO91NTUcP31pQyvra1l2LBhLF68GIBRo0YxYcIE5s+fD8CAAQOYMWMGjY2NbNy4EYApU6bw4osvsmpV6ccfcsghDB48mCVLlgBQVVXFuHHjqK+vB2DQoEFMnz6dhoYGNm/eDMDUqVNZvXo1q1evBuCwww4jIli6dCkAo0ePpqamhgULFgAwZMgQpk2bxtNPP82WLVsAOOqoo2hqamLNmjUAjB8/nsxk2bJlAIwZM4YxY8awcOFCAIYOHcqUKVN46qmn2Lp1KwAzZsxg+fLlrF27tvQffsIEmpubWbFiBQBjx46lurqahoYGAIYPH87kyZOpr6+npaUFgLq6OpYsWcK6desAmDhxIps2bWLlypVs/+89cuRIGhsbARgxYgSTJk1i/vz5ZCYRQV1dHYsWLWLDhg0ATJ48mfXr19PU1OTvyd+Tvyd/Tz3yezryyCNLG2lHj03PRkQt8CwwKzN/0ar9KuDczDyynXXuB04ADsrMdeW2t1MaSR6Umasiohn4YGbe0Wq9C4BvZOYBndVUV1eXc+fOrcDeSZL6i+rq6nmZObO9ZT15ItALQAu7jgBfz64jxe2agGe3B2ZZQ/nP7fOqz3Vxm5Ik7ZEeC83MbAbmAae2WXQqpbNo2/MIUBsRr23VdkT5z+3D58e6uE1JkvZIT1+n+WXg/RHxoYiYEhE3Ujo+eRNARNweEbe36v89YA3w7YiYFhFvoXTJyg8z8/lynxuBkyPiyog4MiKuBN4K3NBTOyVJ2j/05IlAZOZdETEa+DRQAywA3pmZ20eN49r0fzki3kbp5J9fA2uBe4C/a9Xn0Yj4C+CzwDXAH4BzMvNX3b0/kqT9S49ep9nXeCKQJKmtvnIikCRJ+zRDU5KkggxNSZIKMjQlSSrI0JQkqSBDU5KkggxNSZIKMjQlSSrI0JQkqSBDU5KkggxNSZIKMjQlSSrI0JQkqSBDU5KkggxNSZIKMjQlSSrI0JSkfcQDDzzAm970Jo455hhuuOGGXZZ/73vfY9KkScyaNYtZs2Zx++2371h25513MnPmTGbOnMmdd965o/3ss8/mhBNO4Nhjj+Xyyy+npaWlR/ZlXzWwtwuQJO1eS0sLV1xxBbNnz6a2tpZTTjmF0047jSOPPHKnfmeccQbXXXfdTm1r167luuuuY+7cuUQEb33rWzn99NM58MAD+da3vsXIkSPJTC644ALuuecezjrrrJ7ctX2KI01J2gfMmzePN7zhDYwfP57Bgwdz5plnMmfOnELrzp07l5NOOomqqioOPPBATjrpJH72s58BMHLkSAC2bdvG1q1biYhu24f+wNDcz+1uume7e++9l+rqaubPnw9Ac3MzH/3oR3nLW97CCSecwMMPPwzAhg0bdkwNzZo1i4kTJ3LllVf2yL5I/VlTUxMHH3zwjs+1tbU0NTXt0u/HP/4xxx9/PBdccAErVqwAYOXKlbusu3Llyh2fzzrrLI444ghe+9rX8u53v7sb92LfZ2jux7ZP93z/+9/nscce4+677+Z3v/vdLv02bNjAzTffzDHHHLOjbfuxkkceeYTZs2fzmc98hldffZURI0bw0EMP7XgdeuihvOtd7+qxfZL6q8zcpa3tqPC0007jySef5OGHH+akk07iox/9aKF17777bhoaGtiyZQsPPfRQhSvvXwzN/VjR6Z5rr72WSy+9lAMOOGBHW2NjIyeeeCIAY8aMYdSoUTtGodv94Q9/YPXq1Rx77LHduyPSfqC2tpZnn312x+eVK1dy0EEH7dSnurqaIUOGAHD++efz5JNPAnDwwQfvsm5NTc1O6x5wwAGcfvrphad891eG5n6syHTPb3/7W5599lne8Y537NQ+bdo0fvrTn7Jt2zaWLVvGk08+udOXEkr/ej3jjDM8RiJVwNFHH82SJUtYtmwZzc3NzJ49m9NOO22nPs8999yO93PmzOGII44A4OSTT+bBBx/kpZde4qWXXuLBBx/k5JNP5uWXX96xzrZt2/jP//xPJk2a1HM7tQ/y7Nn92O6mbF599VU+9alP8bWvfW2Xfu973/v4/e9/z8knn8yhhx7Km970JgYO3Pl/p9mzZ3PTTTdVvnBpPzRw4ECuu+46zj77bFpaWjjvvPOYMmUK1157LXV1dZx++uncfPPNzJkzh4EDB1JVVbXju1tVVcXHP/5xTjnlFAA+8YlPUFVVxfPPP895553Hli1baGlpYdasWVx44YW9uZt9XrT3F+f+oq6uLufOndvbZfSaxx9/nC984QvcfffdAHzlK18B4LLLLgNg/fr1HH300QwfPhyA559/nqqqKr773e9SV1e307be8Y53cOONN+44/X3BggVceOGF/PrXv+6p3ZGkiqiurp6XmTPbW+b07H5sd9M9I0eOZPHixdTX11NfX8/MmTN3BOamTZvYuHEjAA8++CADBw7c6Xqxu+++mzPPPLPH90mSupPTs/uxItM9HXnhhRc4++yziQhqa2t3mYa95557uOuuu7p7FySpRzk9ux9Pz0qSduX0rCRJFWBoSpJUkKEpSVJBhqYkSQUZmpIkFWRoSpJUkKEpSVJBhqYkSQUZmpIkFeRt9CTtd664raq3S1A3uO6Ctd3+MxxpSpJUkCPNCvBfrf1TT/yrVdK+xZGmJEkFGZqSJBVkaEqSVJChKUlSQYamJEkFGZqSJBVkaEqSVJChKUlSQYamJEkFGZqSJBVkaEqSVJChKUlSQYamJEkFGZqSJBVkaEqSVJChKUlSQYamJEkF9XhoRsTFEfFMRLwSEfMi4oSC6x0fEdsiYkGb9vdHRLbzOqB79kCStL/q0dCMiHOAG4FrgTrgUWBORIzbzXpVwO3Azzrosgmoaf3KzFcqVbckSdDzI83LgVsz85bMbMjMS4Am4CO7We9fgduAxzpYnpn5XOtXBWuWJAnowdCMiMHAMcD9bRbdDxzXyXoXAwcBn+1k80MjYllErIiIn0RE3V4XLElSGwN78Ge9DhgArGrTvgp4W3srRMR04CrgzZnZEhHtdWsEPgDUAyOAvwEeiYgZmbmonW1eBFwEUFNTwxNPPAFAbW0tw4YNY/HixQCMGjWKCRMmMH/+fAAGDBjAjBkzaGxsZOPGjQBMmTKFF198Eagq/B9B+46GhgY2b94MwNSpU1m9ejWrV68G4LDDDiMiWLp0KQCjR4+mpqaGBQtKh9yHDBnCtGnTePrpp9myZQsARx11FE1NTaxZswaA8ePHk5ksW7YMgDFjxjBmzBgWLlwIwNChQ5kyZQpPPfUUW7duBWDGjBksX76ctWvXAjBhwgSam5tZsWIFAGPHjqW6upqGhgYAhg8fzuTJk6mvr6elpQWAuro6lixZwrp16wCYOHEimzZtYuXKlUDpezFy5EgaGxsBGDFiBJMmTWL+/PlkJhFBXV0dixYtYsOGDQBMnjyZ9evX09TUBOzd92nVqtJfEYcccgiDBw9myZIlAFRVVTFu3Djq6+sBGDRoENOnT9+j35P6pzVr1lTk+9SZyMxu3IVWPyiiFngWmJWZv2jVfhVwbmYe2ab/EOAJ4J8y845y29XA2Zl5VCc/ZwDwJPBgZl7aWU11dXU5d+7cPdyj/3bFbYZmf3TdBWt7uwR1E7+z/VOlvrPV1dXzMnNme8t6cqT5AtBCaaq1tdez6+gTSif0TAW+HRHfLre9BoiI2Aa8MzPbTvVSHpH+BphUscolSaIHj2lmZjMwDzi1zaJTKZ1F29azwHTgja1eNwGLy+/bW4cozeH+EaUTjCRJqpieHGkCfBm4IyIeBx4BPgzUUgpDIuJ2gMw8PzO3Am2vyXwe2JKZC1q1XQX8ElgEjAQupRSauzsjV5KkLunR0MzMuyJiNPBpStOvCyhNsy4rd+n0es0OHAjcTGnadx0wn9Jx08crULIkSTv09EiTzPw68PUOlp20m3WvBq5u03YZcFllqpMkqWPee1aSpIIMTUmSCjI0JUkqyNCUJKkgQ1OSpIIMTUmSCjI0JUkqyNCUJKkgQ1OSpIIMTUmSCjI0JUkqyNCUJKkgQ1OSpIIMTUmSCjI0JUkqyNCUJKkgQ1OSpIIMTUmSCjI0JUkqyNCUJKmgLoVmRLw3It7e6vP/jogVEXFfRNRUvjxJkvqOro40r97+JiKOBv4e+GdgEPClypUlSVLfM7CL/Q8DGsvvzwDuyczrIuJ+4L6KViZJUh/T1ZHmK8CI8vtTgAfK79e1apckqV/q6kjzF8CXIuJhYCZwdrn9COD/VbIwSZL6mq6ONP8aaKYUlh/OzJXl9tNxelaS1M91aaSZmSuAd7XT/rGKVSRJUh/V5es0I+KAiDg7Ij4ZEQeW2w6PiOrKlydJUt/RpZFmREykdPLPa4EDgR8ALwEfKX/+UKULlCSpr+jqSPMG4H5gLLC5Vfu/A2+tVFGSJPVFXT179jjgzZnZEhGt25cDtRWrSpKkPmhP7j07qJ22cZSu1ZQkqd/qamjeD1ze6nNGxEjgGuA/KlaVJEl9UFenZy8HHoyIRuAA4C5gIrAKeG+Fa5MkqU/p6nWaKyPijcC5wNGURqo3A9/NzM2drixJ0j6uqyNNyuH4rfJLkqT9xm5DMyLOBH6cmVvL7zuUmbMrVpkkSX1MkZHmD4GDgOfL7zuSwIBKFCVJUl+029DMzNe0916SpP1Nl0IwImZFxC5BGxEDImJW5cqSJKnv6erI8UGgvRuzH1heJklSv9XV0AxKxy7bGg1s3PtyJEnquwpdchIR/15+m8B3ImJLq8UDgKOARytcmyRJfUrR6zTXlP8MYC07P+GkGXgYuKWCdUmS1OcUCs3MvBAgIpYC12emU7GSpP1OV2+jd013FSJJUl9X5I5AvwVOzMy1EfEU7Z8IBEBm/lEli5MkqS8pMtK8G9h+4k9ndwSSJKlfK3JHoGvaey9J0v7G2+JJklRQkWOanR7HbM1jmpKk/qzoU04kSdrvdemYpiRJ+zOPaUqSVJDXaUqSVJDXaUqSVFCPX6cZERcDnwBqgKeBj2XmLzroeyLweWAyMAxYBnwzM69v0+8s4B+Bw4E/AJ/KzB/tba2SJLW2R8c0I+LwiPjT8uvwLqx3DnAjcC1QR+lxYnMiYlwHq7wM/DMwC5gKfBa4phy827d5LHAX8F3gjeU/fxARf9z1PZMkqWNdCs2IGB0R9wCLgHvKr99HxL0RMbrAJi4Hbs3MWzKzITMvAZqAj7TXOTPnZea/ZebTmflMZn4HuA84oVW3jwEPZubnytv8HPBf5XZJkiqmqyPNbwITKYXWAeXXLOAN7OZ5mhExGDgGuL/NovuB44r88IioK/f9eavmY9vZ5n1FtylJUlFdejQY8A7glMx8rFXbIxHxv4AHdrPu64ABwKo27auAt3W2YkSsAMZQqveazLyp1eKDOtjmQR1s6yLgIoCamhqeeOIJAGpraxk2bBiLFy8GYNSoUUyYMIH58+cDMGDAAGbMmEFjYyMbN5YeJzplyhRefPFFoKqz8rWPamhoYPPm0vPWp06dyurVq1m9ejUAhx12GBHB0qVLARg9ejQ1NTUsWLAAgCFDhjBt2jSefvpptmwpnUd31FFH0dTUxJo1pWe6jx8/nsxk2bJlAIwZM4YxY8awcOFCAIYOHcqUKVN46qmn2Lp1KwAzZsxg+fLlrF27FoAJEybQ3NzMihUrABg7dizV1dU0NDQAMHz4cCZPnkx9fT0tLS0A1NXVsWTJEtatWwfAxIkT2bRpEytXrgRK34uRI0fS2NgIwIgRI5g0aRLz588nM4kI6urqWLRoERs2bABg8uTJrF+/nqamJmDvvk+rVpW+zocccgiDBw9myZIlAFRVVTFu3Djq6+sBGDRoENOnT9+j35P6pzVr1lTk+9SZyCx0h7xS54hlwLsy87dt2mcAP87Mjo5NEhG1wLPArNYn/kTEVcC5mXlkJ+u+AXgt8GbgC8DfZOYd5WXNwAe3fy63XQB8IzMP6Gx/6urqcu7cuZ11KeSK2wzN/ui6C9b2dgnqJn5n+6dKfWerq6vnZebM9pZ1daT5D8ANEfGXmfksQEQcDHypvKwzLwAt7DoCfD27jhR3kpnPlN8+FRFjgauB7SH53J5sU5KkrtqTG7a/AVgaEc+WPx8MvEIpqL7Z0XYyszki5gGnAj9otehUSteCFvUaYEirz4+Vt/HFNtt8tAvblCRpt3r6hu1fBu6IiMeBR4APA7XATQARcTtAZp5f/nwJ8AzQWF5/FvBx4Outtnkj8FBEXAn8CDgDeCtwfAXrliSpZ2/Ynpl3lS9N+TSlmxssAN6ZmcvKXdoeEx1A6RjmeGAbpRsX/B3lkC1v89GI+AvK13CW+5yTmb+qVN2SJEHXj2nutcz8OjuPFFsvO6nN5xuAGwps84d4iz9JUjfr6s0NBkfENRHx+4h4JSJaWr+6q0hJkvqCrt7c4B+BCyidLfsqpXvIfg1YA1zcyXqSJO3zuhqa7wU+nJnfoHT5yL2ZeSlwFaUzViVJ6re6GppjgYXl9y8DB5bf/1/g7ZUqSpKkvqirobmc0iUiAIsp3VYPSvd/3VypoiRJ6ou6Gpo/Ak4pv7+R0mO6ngFupZMbG0iS1B906ZKTzLyy1fsflm+kfhzw+8z8SaWLkySpL9mr6zQz85fALytUiyRJfVpXp2eJiKMj4vaI+E35dUdEHN0dxUmS1Jd09eYG5wG/pnQLvJ+WX2OBxyPifZUvT5KkvqOr07OfAz6Tmde2bizfLP2zwHcqVZgkSX1NV6dnxwDfb6f9B5QeDSZJUr/V1dB8EDipnfaTgJ/vbTGSJPVlRR5CfWarj3OAz0fETP77rNk3A2cCV1e8OkmS+pA9fQj1ReVXa1+lg0d+SZLUHxR5CHWXL0uRJKk/MhAlSSpoT25u8CcR8VBEvBARqyPi5xHxzu4oTpKkvqSrNzf4EKWbtv8B+CTwd8AzwI8i4gOVL0+SpL6jqzc3+CRweWb+n1Zt/xoR8ygF6LcqVpkkSX1MV6dnx1F64HRbc4DD9r4cSZL6rj15CPWp7bS/HVi29+VIktR3dXV69nrgq+WnmjwKJHA88JfAJRWuTZKkPqWrD6H+RkQ8D/wtpbsAATQA783MeytdnCRJfUnh0IyIgZSmYR/KzB91X0mSJPVNhY9pZuY2YDYwovvKkSSp7+rqiUD1wMTuKESSpL6uq6F5NfCliHhPRBwaEdWtX91QnyRJfUZXz579j/KfsymdObtdlD8PqERRkiT1RV0Nzbd2SxWSJO0DCoVmRAwDvgi8BxgEPABcmpkvdGNtkiT1KUWPaV4DvJ/S9OydlO4K9C/dVJMkSX1S0enZM4EPZua/AUTEd4FHImJAZrZ0W3WSJPUhRUeahwK/2P4hMx8HtgG13VGUJEl9UdHQHAA0t2nbRtdPJJIkaZ9VNPQC+E5EbGnVdgBwS0Rs2t6QmX9WyeIkSepLiobmbe20faeShUiS1NcVCs3MvLC7C5Ekqa/r6m30JEnabxmakiQVZGhKklSQoSlJUkGGpiRJBRmakiQVZGhKklSQoSlJUkGGpiRJBRmakiQVZGhKklSQoSlJUkGGpiRJBRmakiQVZGhKklSQoSlJUkGGpiRJBRmakiQVZGhKklRQj4dmRFwcEc9ExCsRMS8iTuikb01EfC8ifhcRLRFxazt93h8R2c7rgG7dEUnSfqdHQzMizgFuBK4F6oBHgTkRMa6DVYYALwD/BPyqk01vAmpavzLzlUrVLUkS9PxI83Lg1sy8JTMbMvMSoAn4SHudM3NpZl6ambcCL3ay3czM51q/Kl+6JGl/12OhGRGDgWOA+9ssuh84bi83PzQilkXEioj4SUTU7eX2JEnaxcAe/FmvAwYAq9q0rwLethfbbQQ+ANQDI4C/AR6JiBmZuaht54i4CLgIoKamhieeeAKA2tpahg0bxuLFiwEYNWoUEyZMYP78+QAMGDCAGTNm0NjYyMaNGwGYMmUKL774IlC1F+Wrr2poaGDz5s0ATJ06ldWrV7N69WoADjvsMCKCpUuXAjB69GhqampYsGABAEOGDGHatGk8/fTTbNmyBYCjjjqKpqYm1qxZA8D48ePJTJYtWwbAmDFjGDNmDAsXLgRg6NChTJkyhaeeeoqtW7cCMGPGDJYvX87atWsBmDBhAs3NzaxYsQKAsWPHUl1dTUNDAwDDhw9n8uTJ1NfX09LSAkBdXR1Llixh3bp1AEycOJFNmzaxcuVKoPS9GDlyJI2NjQCMGDGCSZMmMX/+fDKTiKCuro5FixaxYcMGACZPnsz69etpamoC9u77tGpV6a+IQw45hMGDB7NkyRIAqqqqGDduHPX19QAMGjSI6dOn79HvSf3TmjVrKvJ96kxkZjfuQqsfFFELPAvMysxftGq/Cjg3M4/czfo/AV7IzPfvpt8A4Engwcy8tLO+dXV1OXfu3IJ70LErbjM0+6PrLljb2yWom/id7Z8q9Z2trq6el5kz21vWk8c0XwBagIPatL+eXUefeywzW4DfAJMqtU1JkqAHQzMzm4F5wKltFp1K6SzaioiIAP6I0glGkiRVTE8e0wT4MnBHRDwOPAJ8GKgFbgKIiNsBMvP87StExBvLb0cCr5Y/N2fmwvLyq4BfAovKfS6lFJrtnpErSdKe6tHQzMy7ImI08GlK11MuAN6ZmcvKXdq7XnN+m8/vApYB48ufDwRupjTtu67cf1ZmPl7Z6iVJ+7ueHmmSmV8Hvt7BspPaaYvdbO8y4LKKFCdJUie896wkSQUZmpIkFWRoSpJUkKEpSVJBhqYkSQUZmpIkFWRoSpJUkKEpSVJBhqYkSQUZmpIkFWRoSpJUkKEpSVJBhqYkSQUZmpIkFWRoSpJUkKEpSVJBhqYkSQUZmpIkFWRoSpJUkKEpSVJBhqYkSQUZmpIkFWRoSpJUkKEpSVJBhqYkSQUZmpIkFWRoSpJUkKEpSVJBhqYkSQUZmpIkFWRoSpJUkKEpSVJBhqYkSQUZmpIkFWRoSpJUkKEpSVJBhqYkSQUZmpIkFWRoSpJUkKEpSVJBhqYkSQUZmpIkFWRoSpJUkKEpSVJBhqYkSQUZmpIkFWRoSpJUkKEpSVJBhqYkSQUZmpIkFWRoSpJUkKEpSVJBhqYkSQUZmpIkFWRoSpJUkKEpSVJBPR6aEXFxRDwTEa9ExLyIOGE3/U8s93slIpZExIf3dpuSJO2JHg3NiDgHuBG4FqgDHgXmRMS4Dvq/AfhpuV8d8HngqxFx1p5uU5KkPdXTI83LgVsz85bMbMjMS4Am4CMd9P8wsDIzLyn3vwW4Dfj4XmxTkqQ90mOhGRGDgWOA+9ssuh84roPVjm2n/33AzIgYtIfblCRpjwzswZ/1OmAAsKpN+yrgbR2scxDwQDv9B5a3F13dZkRcBFxU/vhydXV1Y5HitcPrgBd6u4ie8M3LersCqSL8znbdYR0t6MnQ3C7bfI522nbXf3t7dNKn3W1m5s3AzbsvU+2JiN9k5szerkNSMX5nK6snQ/MFoIXS6LG117PrSHG75zrovw1YQykcu7pNSZL2SI8d08zMZmAecGqbRadSOuO1PY+x6zTrqcBvMnPrHm5TkqQ90tPTs18G7oiIx4FHKJ0dWwvcBBARtwNk5vnl/jcBfx0RNwDfAN4CvB84t+g2VXFObUv7Fr+zFRSZnR1O7IYfGHExcAVQAywALsvMh8rL/gsgM09q1f9E4CvANGAl8IXMvKnoNiVJqpQeD01JkvZV3ntWkqSCDE1JkgoyNCVJKsjQlCSpoN64I5D2MRFxCDCR0s0kXgUaM/O53q1KknqeZ8+qUxHxEeADwAxgI7AYWEHpxhP3ZmZjRLwmM1/txTIlqUc4PasORcRoSs8pvZfSNbDHUno026vABZSebTo1M1+NiOh4S5J6QvnpT0dExJDerqW/cqSpDkXEJcD7MvOP21l2PKWHgh8MvCkz94unKEh9WUR8DPgc8H1gNvBrYHVmtrTqM5LS3dUeyMytvVLoPsyRpjrTDIyIiKMAImJI+RmmZObDwHnAK8Dbe69ESa2cAzxO6RyEeygdRvliRBwfEaPKff4ncJWBuWcMTXXmh5SmYj8WESMyc0tmNkfEawAycznwEnBIbxYpCSJiDLAVuCUzT6D0TMh/Bf4UeAiYGxGfBD4G/KrXCt3HOT2rdrU6Rvlu4EagmtKUz9eB+ZSCchbwL8D0zFzaC2VKKouIGuAvgIWZeV+bZXXAh8rLq4BDM/PZnq9y32doqlMRcSAwDjgOOIPSsRAoPev0NcDtmXl171QnqbWIGApkZr7S+uS8LP9FHxGfA96ZmXW9VeO+zus0tYuIeD3wl8DfUnp4+GZK07C/AK4HBgGHA/cBi3qpTEltZObm7WGZbUZEEaVG2YsAAAHkSURBVDEMOAv4dm/U1l840tQuIuJWSo9i+zHwIqWp2enAEcDzwKcz02MiUh9RPiN2Q9ugbNPnAEonCt2Zmc09Vlw/Y2hqJ+V/pW6gNIXzUKu2ccCbgQ8CE4D3ZuYTvVaopB0i4huUzpp9HFiWmevb6XNgZr7U48X1M549q7amAs9QutwEKE3zZOayzLwLeBelqdo/76X6JLUSEecCfwV8idKNSL4YEWdExOHlY5zbj3Xetv3yMe05R5raSfnL9RNgGHA+8Ie2t8gr3/Tgg5n5xl4oUVIrEXEL0AJcB5xJ6W5dhwONwE+BnwGTgRszc3Bv1dlfONLUTjJzM/ApYChwO3B+RBwaEcNhx8kEJwILeq9KSQARMZDSzNBLmbkkM6/PzOnA/wB+TilAvw98Fbij9yrtPxxpql3laZzPAH9G6UbtjwGrgbcBTcCHMvOp3qtQEkBEVAFjM/N35Tt2bW19QlBEnAPcCRydmU/2Vp39haGpTpUvP/kT4D2Ubpm3APhBZv6uVwuT1KHyXbsiM1si4q8oTc0O6+26+gNDU4X5CDBp3xMRlwMDMvOLvV1Lf2BoSlI/FhGDgBb/wVsZhqYkSQV59qwkSQUZmpIkFWRoSpJUkKEpSVJBhqYkSQUZmpIkFfT/AR4k9l8ah4cBAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_histogram( hist )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [],
   "source": [
    "#BELL STATE HAS BEEN SUCCESSFULLY CREATED ABOVE !!!!!!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 397.32x144.48 with 1 Axes>"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#what happens when we add h gates and cx gates ? lets find out !!!!!\n",
    "qc = QuantumCircuit(2) #make a QC with 2 quantum bits both initialized to |0>\n",
    "qc.h(0)\n",
    "qc.cx(0,1) #control qbit 0 and target qbit 1\n",
    "qc.h(0)\n",
    "qc.cx(0,1) #control qbit 0 and target qbit 1\n",
    "qc.draw(output='mpl') #draw the circuit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 517.72x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qc.add_register(cr)\n",
    "qc.measure(0,0) #MEASURE THE QUANTUM CIRCUIT (COLLAPSE THE WAVEFUNCTION) BY MAPPING TO CLASSICAL BITS\n",
    "qc.measure(1,1) #MEASURE THE QUANTUM CIRCUIT (COLLAPSE THE WAVEFUNCTION) BY MAPPING TO CLASSICAL BITS\n",
    "qc.draw(output='mpl') #draw the circuit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'00': 25153, '01': 24905, '11': 25075, '10': 24867}\n"
     ]
    }
   ],
   "source": [
    "emulator = Aer.get_backend('qasm_simulator') #GET THE SIMULATOR BACKEND (NO NOISE) \n",
    "\n",
    "job = execute( qc, emulator, shots=100000 ) #SIMULATE THE QC DRAWN ABOVE FOR 100000 ITERATIONS\n",
    "\n",
    "hist = job.result().get_counts() #GET THE RESULT OF THE SIMULATOR AND PRINT \n",
    "print(hist)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_histogram( hist )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "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": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}