Bell state.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "import qiskit\n",
    "from qiskit import IBMQ\n",
    "from qiskit import QuantumCircuit, ClassicalRegister, QuantumRegister, execute\n",
    "from qiskit.tools.visualization import circuit_drawer\n",
    "from qiskit.quantum_info import state_fidelity\n",
    "from qiskit import BasicAer\n",
    "from qiskit import Aer\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from math import pi\n",
    "from qiskit.visualization import plot_histogram\n",
    "\n",
    "backend = BasicAer.get_backend('unitary_simulator')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "%config InlineBackend.figure_format = 'svg'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'qiskit-terra': '0.10.0',\n",
       " 'qiskit-aer': '0.3.2',\n",
       " 'qiskit-ignis': '0.2.0',\n",
       " 'qiskit-ibmq-provider': '0.3.3',\n",
       " 'qiskit-aqua': '0.6.1',\n",
       " 'qiskit': '0.13.0'}"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "qiskit.__qiskit_version__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "q=QuantumRegister(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit.circuit.instructionset.InstructionSet at 0x7f219073c208>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Building the circuit\n",
    "\n",
    "qc = QuantumCircuit(q)\n",
    "qc.ry(pi/2,q[0])\n",
    "qc.rx(pi,q[0])\n",
    "qc.ry(-pi/2,q[0])\n",
    "qc.ry(pi/2,q[0])\n",
    "qc.cx(q[0],q[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<qiskit.circuit.instructionset.InstructionSet at 0x7f21907ee550>"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#Adding classical registers to measure\n",
    "\n",
    "cr = ClassicalRegister(2,'classicalreg')\n",
    "qc.add_register(cr)\n",
    "qc.measure(q[0],cr[0])\n",
    "qc.measure(q[1],cr[1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
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     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
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   "source": [
    "qc.draw(output='mpl')"
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  {
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   "execution_count": 28,
   "metadata": {},
   "outputs": [
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     "data": {
      "text/plain": [
       "array([[ 0.707+0.j,  0.707+0.j,  0.   +0.j,  0.   +0.j],\n",
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   "source": [
    "job=execute(qc,backend)\n",
    "job.result().get_unitary(qc, decimals=3)"
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  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [],
   "source": [
    "#sample run on simulator for 100 iterations\n",
    "\n",
    "emulator = Aer.get_backend('qasm_simulator')\n",
    "\n",
    "job = execute( qc, emulator, shots=100 )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'00': 41, '11': 59}\n"
     ]
    }
   ],
   "source": [
    "hist = job.result().get_counts()\n",
    "print(hist)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
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     "execution_count": 57,
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   "source": [
    "plot_histogram( hist )"
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  {
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   "metadata": {},
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   "source": [
    "\n",
    "provider = IBMQ.enable_account('API_TOKEN_FOR_IBMQ_BACKEND')"
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  {
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   "execution_count": 76,
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    "#selecting backend\n",
    "#Replace ibmq_essex with the desired backend Quantum Computer\n",
    "backend = provider.get_backend('ibmq_essex')"
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   "metadata": {},
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   "execution_count": 78,
   "metadata": {},
   "outputs": [
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     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'00': 38, '11': 53, '01': 6, '10': 3}\n"
     ]
    }
   ],
   "source": [
    "hist = job.result().get_counts()\n",
    "print(hist)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
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     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "plot_histogram( hist )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'00': 1}\n",
      "{'00': 4, '11': 6}\n",
      "{'00': 46, '11': 47, '01': 4, '10': 3}\n",
      "{'00': 458, '11': 479, '01': 37, '10': 26}\n"
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   ],
   "source": [
    "shot=[1,10,100,1000]\n",
    "outputs=[]\n",
    "for i in shot:\n",
    "    job = execute( qc, backend, shots=i )\n",
    "    hist = job.result().get_counts()\n",
    "    outputs.append(hist)\n",
    "    print(hist)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Comparing outputs for different number of iterations "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
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     "execution_count": 94,
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    "plot_histogram(outputs[3])"
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   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Observation : Accuracy increases with the increase in number of iterations."
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   "cell_type": "code",
   "execution_count": null,
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   "source": [
    "'''\n",
    "Bonus Question : How to make sure you produce state |00>+|11> and not |00>-|11> ?\n",
    "Answer : A bell state can be defined by the following equation\n",
    "\n",
    "B(x,y) = ( |0,y> + (-1)^x |1,y*> ) / sqrt(2)\n",
    "where y* is the opposite of y , eg. for y=1, y*=0 and vice versa\n",
    "\n",
    "for producing |00>+|11> state only put x=0 and y=0\n",
    "i.e. Both the qubits(in a two qubit system) should be zero\n",
    "'''"
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