Entaglement_Superdense_coding.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "b3799f17-1a7f-4426-af1c-24cde9528488",
   "metadata": {},
   "source": [
    "# Entaglement > Superdense coding"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "ec13e292-4b82-4a54-8f90-3660edbc98e1",
   "metadata": {},
   "outputs": [],
   "source": [
    "a = \"1\"\n",
    "b = \"0\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "b6f80a98-3a99-4765-b0f2-4445e1c00b5f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 998.442x284.278 with 1 Axes>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit import QuantumCircuit, QuantumRegister, ClassicalRegister\n",
    "\n",
    "protocol = QuantumCircuit(2)\n",
    "\n",
    "# Prepare ebit used for superdense coding\n",
    "protocol.h(0)\n",
    "protocol.cx(0, 1)\n",
    "protocol.barrier()\n",
    "\n",
    "# Alice's operations\n",
    "\n",
    "if b == \"1\":\n",
    "    protocol.z(0)\n",
    "if a == \"1\":\n",
    "    protocol.x(0)\n",
    "protocol.barrier()\n",
    "\n",
    "# Bob's actions\n",
    "protocol.cx(0, 1)\n",
    "protocol.h(0)\n",
    "protocol.measure_all()\n",
    "\n",
    "protocol.draw(\"mpl\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "22c2413b-aa23-4400-be44-4c6c092279e9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Measured 10 with frequency 1.0\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 700x500 with 1 Axes>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit_aer.primitives import Sampler\n",
    "from qiskit.visualization import plot_histogram\n",
    "\n",
    "result = Sampler().run(protocol).result()\n",
    "statistics = result.quasi_dists[0].binary_probabilities()\n",
    "for outcome, frequency in statistics.items():\n",
    "    print(f\"Measured {outcome} with frequency {frequency}\")\n",
    "plot_histogram(statistics)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "54d996bc-9470-4cdf-a72b-c99471c727dd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1753.67x618.722 with 1 Axes>"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit import QuantumCircuit\n",
    "\n",
    "rbg = QuantumRegister(1, \"randomizer\")\n",
    "ebit0 = QuantumRegister(1, \"A\")\n",
    "ebit1 = QuantumRegister(1, \"B\")\n",
    "\n",
    "Alice_a = ClassicalRegister(1, \"Alice a\")\n",
    "Alice_b = ClassicalRegister(1, \"Alice b\")\n",
    "\n",
    "test = QuantumCircuit(rbg, ebit0, ebit1, Alice_b, Alice_a)\n",
    "\n",
    "# Initialize the ebit\n",
    "test.h(ebit0)\n",
    "test.cx(ebit0, ebit1)\n",
    "test.barrier()\n",
    "\n",
    "# Use the 'randomizer' qubit twice to generate Alice's bits a and b.\n",
    "test.h(rbg)\n",
    "test.measure(rbg, Alice_a)\n",
    "test.h(rbg)\n",
    "test.measure(rbg, Alice_b)\n",
    "test.barrier()\n",
    "\n",
    "# Now the protocol runs, starting with Alice's actions, which depend\n",
    "# on her bits.\n",
    "with test.if_test((Alice_b, 1), label=\"Z\"):\n",
    "    test.z(ebit0)\n",
    "with test.if_test((Alice_a, 1), label=\"X\"):\n",
    "    test.x(ebit0)\n",
    "test.barrier()\n",
    "\n",
    "# Bob's actions\n",
    "test.cx(ebit0, ebit1)\n",
    "test.h(ebit0)\n",
    "test.barrier()\n",
    "\n",
    "Bob_a = ClassicalRegister(1, \"Bob a\")\n",
    "Bob_b = ClassicalRegister(1, \"Bob b\")\n",
    "test.add_register(Bob_b)\n",
    "test.add_register(Bob_a)\n",
    "test.measure(ebit1, Bob_a)\n",
    "test.measure(ebit0, Bob_b)\n",
    "\n",
    "test.draw(\"mpl\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "0f4f35e8-fd48-4793-8f61-0d97994b84b7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 700x500 with 1 Axes>"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from qiskit_aer import AerSimulator\n",
    "from qiskit.visualization import plot_histogram\n",
    "\n",
    "result = AerSimulator().run(test).result()\n",
    "statistics = result.get_counts()\n",
    "plot_histogram(statistics)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "63d94778-d3e5-439d-9352-fad30aef6e24",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (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": "3.9.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}