splch/Grover's Algorithm.ipynb

## Grover's Algorithm.ipynb
{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/opt/conda/lib/python3.7/site-packages/qiskit/providers/ibmq/ibmqfactory.py:192: UserWarning: Timestamps in IBMQ backend properties, jobs, and job results are all now in local time instead of UTC.\n",
      "  warnings.warn('Timestamps in IBMQ backend properties, jobs, and job results '\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "# Importing standard Qiskit libraries and configuring account\n",
    "from qiskit import QuantumCircuit, execute, Aer, IBMQ\n",
    "from qiskit.compiler import transpile, assemble\n",
    "from qiskit.quantum_info import Operator\n",
    "from qiskit.tools.jupyter import *\n",
    "from qiskit.visualization import *\n",
    "# Loading your IBM Q account(s)\n",
    "provider = IBMQ.load_account()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def initialize_s(qc, qubits):\n",
    "    \"\"\"Apply a H-gate to 'qubits' in qc\"\"\"\n",
    "    for q in qubits:\n",
    "        qc.h(q)\n",
    "    return qc"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "n = 2\n",
    "grover_circuit = QuantumCircuit(n)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "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": [
    "grover_circuit = initialize_s(grover_circuit, [0,1])\n",
    "grover_circuit.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 267.052x144.48 with 1 Axes>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "oracle = Operator([[1, 0, 0, 0],\n",
    "          [0, -1, 0, 0],\n",
    "          [0, 0, 1, 0],\n",
    "          [0, 0, 0, 1]])\n",
    "grover_circuit.unitary(oracle, [0, 1], label='Paths')\n",
    "grover_circuit.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 507.852x144.48 with 1 Axes>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Diffusion operator (U_s)\n",
    "grover_circuit.h([0,1])\n",
    "grover_circuit.z([0,1])\n",
    "grover_circuit.cz(0,1)\n",
    "grover_circuit.h([0,1])\n",
    "grover_circuit.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \n",
       "$$ |\\psi\\rangle =\\begin{bmatrix}\n",
       "0 \\\\\n",
       "1 \\\\\n",
       "0 \\\\\n",
       "0\\end{bmatrix} $"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sv_sim = Aer.get_backend('statevector_simulator')\n",
    "job_sim = execute(grover_circuit, sv_sim)\n",
    "statevec = job_sim.result().get_statevector()\n",
    "from qiskit_textbook.tools import vector2latex\n",
    "vector2latex(statevec, pretext=\"|\\\\psi\\\\rangle =\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "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": [
    "grover_circuit.measure_all()\n",
    "\n",
    "qasm_simulator = Aer.get_backend('qasm_simulator')\n",
    "shots = 1024\n",
    "results = execute(grover_circuit, backend=qasm_simulator, shots=shots).result()\n",
    "answer = results.get_counts()\n",
    "plot_histogram(answer)"
   ]
  }
 ],
 "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": "3.7.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}