Grover's Algorithm.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "3d3e2c62-99f2-4eb1-a2ab-2df29dbc6521",
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit import*\n",
    "from qiskit.tools.visualization import plot_histogram\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "562a01fd-31ed-4bc6-ac4c-e549d226c27d",
   "metadata": {},
   "source": [
    "#Classical Search"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "d4949a55-158b-4ce4-98e0-1364687d471d",
   "metadata": {},
   "outputs": [],
   "source": [
    "mylist =[0,3,6,8,9,1,2,4,5,7]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "40a917a3-c2cb-42e7-8fa6-8917492c7da7",
   "metadata": {},
   "outputs": [],
   "source": [
    "def  Oracle(number):\n",
    "    winningNumber = 8\n",
    "    if number == winningNumber:\n",
    "        return True\n",
    "    else:\n",
    "        return False"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "d9457fbe-0fc3-4f20-a952-37ca2923de7e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Winning Number is : 3\n",
      "Execution COunts : 4\n"
     ]
    }
   ],
   "source": [
    "for index,number in enumerate(mylist):\n",
    "    if Oracle(number) is True:\n",
    "        print(f\"Winning Number is : {index}\")\n",
    "        print(f\"Execution COunts : {index + 1}\")\n",
    "    "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5e585f1b-cfba-48f6-a3d5-ada932ffb531",
   "metadata": {},
   "source": [
    "#Qauntum Models Grover's Algorithm\n",
    "#Oracle Circuit - (WinningSatate11)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "47a5c43e-caf3-41a8-b972-ba1e030e974b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAH0AAAB7CAYAAABZ2Y84AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/YYfK9AAAACXBIWXMAAAsTAAALEwEAmpwYAAAF7klEQVR4nO3db0jUdxzA8fedenblqDlBV1vO005UOoeHURJKDEIGg6DEagiGUGT0xKebPdgDYa4HPYnRntijuZEdwZjrwSjPxJaRTGmxHc0/zaFyEXO5nJd6e3B44e4yhfN+3+vzeYGEPy9+H3r7+/m7Hny0hcPhMEoUu9UDqOTT6AJpdIE0ukAaXSCNLpBGF0ijC6TRBdLoAml0gTS6QBpdII0ukEYXSKMLpNEF0ugCaXSBNLpAGl0gjS6QRhdIowuk0QXS6AJpdIE0ukAaXSCNLpBGF0ijC6TRBdLoAml0gTS6QOlWD/C6WgrDs3mw2WCzI/KnKYy+0peWljh//jy7du1i06ZNlJeX4/f7KS4u5uTJk1aPF1doAX78BT67Bp9ehU+64PPv4fbDyDeCCYy+0puamvD5fLS2tuL1eunv7+fYsWMEg0FaWlqsHi9GaAG+vAGjwZXHp2fg2zvwcBo+rgK7xVe9sdE7Ozu5fPkyPT091NTUAHDgwAEGBwfx+XxUVFRYPGGs7qHY4ADLF/i9MSjKhX1FyZwqlrG397a2Nmpra6PBlxUVFZGRkYHH4wFgbGyMmpoa3G43u3fv5tatW1aMS2gBbv+++mtsgP9XsHpdo5HRJyYmuH//PnV1dTFfe/ToEWVlZWRmZgJw6tQp6uvrCQQCXLp0iaNHjxIKhV55DpvNltCP/JJ9zD9f/ZxhYGoGnG9kJ/z862FsdIC8vLwVx+fm5vD7/dFb++PHj+nr66OpqQmAqqoqtm/fzs2bN5M7MGC3p23IazeCkdFzcnIACAQCK463t7czOTmJ1+sFIld9bm5u9KoHKCgoYHx8/JXnCIfDCf0IDPeRtoZ/zW2bYXYmmPDzr4eRD3IulwuPx0NbWxvZ2dns2LGDrq4uuru7AaLRTbIlE7zvwd2RFw9u8ex3W//0buSVbrfbuXLlCmVlZZw+fZoTJ06Qk5PDmTNnSEtLiz7E7dy5k+npaebn56N/d3R0lPz8fEvm/uh9eHNL5IEtnoIcqC5O5kTx2VJp9XdDQwNDQ0MMDw9Hjx08eJBDhw7R3NxMf38/R44cYWxsDIfDYcmMT+fgu58jb88WlyLHMjNgXyF8WA4OA+6tKRW9pKSEvXv30tHRET02MjJCY2MjU1NTOBwOLl68GPM2zwr/zEf+Nw6gvd6M2MsMGmV1s7OzBAIBmpubVxx3uVz09vZaNNXLbXnxbGlUcEih6FlZWSwuLlo9xmvByAc5tbE0ukAaXSCNLpBGF0ijC6TRBdLoAml0gTS6QBpdII0ukEYXSKMLpNEF0ugCaXSBNLpAGl0gjS6QRhdIowuk0QXS6AJpdIE0ukAaXSCNLpBGF0ijC6TRBdLoAhkdPRUXAgM8C0Hvby8+HxiB5wbtUzB6E0WqLQQGuDcK39xZGfnr23DtHjRVQ2GudbMtM3bRUGdnJ8ePH1+xEBjg8OHD+Hw+BgYGqKystHDCWA/+hK964n/NBqSnQUstvL0tiUPFYeztfa0Lgc+dO4fb7cZut9PV1WXFqFE/DL98h1wYWFiEGw+SOVF8RkZfz0Lg2tparl+/TnV1dbLHXGH6b/jjyerbIsPA4Lj1P9+NjQ6vXggMkSXALpdr3edI9Bbmij1r+6ZbXIJtb+XpFuj/W+tCYJP8+/Txml63tLjA/LOZDZ5mdUY+vSdjIXCin1/DYfiiGyb/evkt3gZ4XekshOYSeu71MvJKX+tCYJPYbFDrWT243Q4flCZzqviMvNIB3G53zLL+hoYGSktLcTqdFk21Os+7ULcHrt6N/Gam5R+14TBkpEPjfngn29oZweD36fHEWwjc2tpKR0cHwWCQrKwsnE4nfr+fwsJCy+acmYOfHsLEk0j4olyoLACnNYupY6RM9NnZWbZu3cqFCxc4e/as1eOktJSJrhLHyAc5tbE0ukAaXSCNLpBGF0ijC6TRBdLoAml0gTS6QBpdII0ukEYXSKMLpNEF0ugCaXSBNLpAGl0gjS6QRhdIowuk0QXS6AJpdIE0ukAaXaD/AJKlMr27KUUdAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 146.652x144.48 with 1 Axes>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit import QuantumCircuit\n",
    "oracleCircuit = QuantumCircuit(2,name = 'oracleCircuit')\n",
    "oracleCircuit.cz(0,1)\n",
    "oracleCircuit.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "2564274e-3472-47db-8d5d-341c891e86c3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 327.252x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mainCircuit =QuantumCircuit(2,2)\n",
    "mainCircuit.h(0)\n",
    "mainCircuit.h(1)\n",
    "mainCircuit.append(oracleCircuit,[0,1])\n",
    "mainCircuit.draw(output ='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "1d7d74fc-6fc8-47e1-bcc2-81baa2d5a56b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 327.252x144.48 with 1 Axes>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "reflectionCircuit =QuantumCircuit(2,name = 'reflectionCircuit')\n",
    "reflectionCircuit.h([0,1])\n",
    "reflectionCircuit.z([0,1])\n",
    "reflectionCircuit.cz(0,1)\n",
    "reflectionCircuit.h([0,1])\n",
    "reflectionCircuit.draw(output ='mpl')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "2654ef33-5715-4942-94be-0a1b59d33775",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 628.252x204.68 with 1 Axes>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mainCircuit.append(reflectionCircuit,[0,1])\n",
    "mainCircuit.measure([0,1],[0,1])\n",
    "mainCircuit.draw(output ='mpl')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "e7ef7c1f-708d-4de9-ab0e-4541dd9264c4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit import Aer\n",
    "from qiskit import *\n",
    "from qiskit.tools.visualization import plot_histogram\n",
    "simulator =Aer.get_backend('qasm_simulator')\n",
    "result = execute(mainCircuit,backend =simulator,shots =1).result()\n",
    "counts = result.get_counts(mainCircuit)\n",
    "plot_histogram([counts])\n",
    "                           "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "f9a060fb-b4cf-4f88-99c8-704a5ebbc115",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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
}