Quantum_Teleportation.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "a990b7cb",
   "metadata": {},
   "outputs": [],
   "source": [
    "from qiskit import *"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "32b52436",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 116.697x264.88 with 1 Axes>"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 116.697x264.88 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "circuit = QuantumCircuit(3,3)\n",
    "circuit.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "id": "2d88928d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 206.997x264.88 with 1 Axes>"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 206.997x264.88 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "circuit.x(0)\n",
    "circuit.barrier()\n",
    "circuit.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "id": "a627c679",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 327.397x264.88 with 1 Axes>"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 327.397x264.88 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "circuit.h(1)\n",
    "circuit.cx(1,2)\n",
    "circuit.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "ffd44dd6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 507.997x264.88 with 1 Axes>"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 507.997x264.88 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "circuit.cx(0,1)\n",
    "circuit.h(0)\n",
    "circuit.barrier()\n",
    "circuit.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "2419462f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 688.597x264.88 with 1 Axes>"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 688.597x264.88 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "circuit.measure([0,1],[0,1])\n",
    "circuit.barrier()\n",
    "circuit.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "a2786bdb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 808.997x264.88 with 1 Axes>"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 808.997x264.88 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "\n",
    "circuit.cx(1,2)\n",
    "circuit.cz(0,2)\n",
    "circuit.draw()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "3e30a66d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "circuit.measure(2,2)\n",
    "simulator = Aer.get_backend('qasm_simulator')\n",
    "result = execute(circuit, backend= simulator,shots =1024).result()\n",
    "counts = result.get_counts()\n",
    "from qiskit.tools.visualization import plot_histogram\n",
    "plot_histogram(counts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "51c49e9b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'111': 246, '100': 280, '110': 236, '101': 262}\n"
     ]
    }
   ],
   "source": [
    "print(counts)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5f4ba824",
   "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": "3.8.8"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}