はじめてのBlueqat.ipynb

はじめてのblueqat.ipynb

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    "colab": {
      "name": "はじめてのBlueqat.ipynb",
      "version": "0.3.2",
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      "name": "python3",
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  "cells": [
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      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
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      "source": [
        "<a href=\"https://colab.research.google.com/gist/gyu-don/b1930ce7ad46ce39525b5b9fae298f8b/-blueqat.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
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        "colab": {
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      "cell_type": "code",
      "source": [
        "!pip3 install blueqat"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Collecting blueqat\n",
            "  Downloading https://files.pythonhosted.org/packages/c5/6a/6853e8e6fb54e4fd34cccbfae3773b4e23163f69efae116bc07a511dab96/blueqat-0.3.1-py3-none-any.whl\n",
            "Installing collected packages: blueqat\n",
            "Successfully installed blueqat-0.3.1\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "metadata": {
        "id": "Q6M4xQmpKzHv",
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      "cell_type": "markdown",
      "source": [
        "# 初めての量子回路\n",
        "やること\n",
        "\n",
        "\n",
        "1.   量子回路を作る\n",
        "2.   回路(の0ビット目)にアダマールゲートをひとつ付け加える\n",
        "3.   実行して状態ベクトルを得る\n",
        "\n",
        "量子回路は通常、|0>に初期化されている。なので、\n",
        "\n",
        "|0>  ---H--- $\\frac{1}{\\sqrt{2}}$(|0> + |1>)となる"
      ]
    },
    {
      "metadata": {
        "id": "17xEu2dXFJUg",
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        "outputId": "e21ba78f-d94f-4bd2-cede-7054ee76f76b",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "cell_type": "code",
      "source": [
        "from blueqat import Circuit\n",
        "c = Circuit()\n",
        "c.h[0]\n",
        "c.run()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([0.70710678+0.j, 0.70710678+0.j])"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 2
        }
      ]
    },
    {
      "metadata": {
        "id": "YQhk1LMuJ-mB",
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        "outputId": "69ee8f6b-c674-492b-e69c-f389e3bb4feb",
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          "base_uri": "https://localhost:8080/",
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        }
      },
      "cell_type": "code",
      "source": [
        "0.70710678 ** 2 # 1/√2のはずなので、2乗して1/2になるか確認"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.49999999832196845"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 3
        }
      ]
    },
    {
      "metadata": {
        "id": "xajPDWDLOBa6",
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      "cell_type": "markdown",
      "source": [
        "|1> ---H--- $\\frac{1}{\\sqrt{2}}$(|0> - |1>)\n",
        "となるが、それを確認。\n",
        "\n",
        "Xゲートはビットを反転するゲート。\n",
        "なので、\n",
        "|0> --- X --- |1>\n",
        "となり、\n",
        "|0> --- X --- H --- $\\frac{1}{\\sqrt{2}}$(|0> - |1>)\n",
        "となる。"
      ]
    },
    {
      "metadata": {
        "id": "P7iP2zjxLiDW",
        "colab_type": "code",
        "outputId": "21312708-c252-41dd-a1df-5cde10c99f82",
        "colab": {
          "base_uri": "https://localhost:8080/",
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      },
      "cell_type": "code",
      "source": [
        "c = Circuit()\n",
        "c.x[0].h[0].run()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([ 0.70710678+0.j, -0.70710678+0.j])"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 5
        }
      ]
    },
    {
      "metadata": {
        "id": "ogKcIgWfOZpt",
        "colab_type": "text"
      },
      "cell_type": "markdown",
      "source": [
        "# 観測してみる\n",
        "観測はmゲートで行う。runの中にshots=数字を入れて、何度か回路を動かす。"
      ]
    },
    {
      "metadata": {
        "id": "GP2iYIaONCQl",
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        "outputId": "a9cff587-f91c-47ef-f0f3-b02ba448b7c1",
        "colab": {
          "base_uri": "https://localhost:8080/",
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      },
      "cell_type": "code",
      "source": [
        "c = Circuit()\n",
        "c.h[0].m[0].run(shots=100)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Counter({'0': 49, '1': 51})"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 7
        }
      ]
    },
    {
      "metadata": {
        "id": "QM-2mgnsP0rN",
        "colab_type": "text"
      },
      "cell_type": "markdown",
      "source": [
        "演習問題:\n",
        "|1>にHをかけた回路も、|0>にHをかけた回路と同様の観測結果になることを確認して下さい。"
      ]
    },
    {
      "metadata": {
        "id": "KnNN0S4fPzwH",
        "colab_type": "code",
        "colab": {}
      },
      "cell_type": "code",
      "source": [
        ""
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "metadata": {
        "id": "YXp2Yo95QXph",
        "colab_type": "text"
      },
      "cell_type": "markdown",
      "source": [
        "# Hをいっぱい並べてみる"
      ]
    },
    {
      "metadata": {
        "id": "-5dTYQpQOv5U",
        "colab_type": "code",
        "outputId": "924b731f-77a0-4bf3-a795-15afb146e50d",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 538
        }
      },
      "cell_type": "code",
      "source": [
        "c = Circuit()\n",
        "c.h[:5].m[:].run(shots=100)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Counter({'00000': 3,\n",
              "         '00001': 3,\n",
              "         '00010': 5,\n",
              "         '00011': 2,\n",
              "         '00100': 4,\n",
              "         '00101': 5,\n",
              "         '00110': 2,\n",
              "         '00111': 4,\n",
              "         '01000': 1,\n",
              "         '01001': 6,\n",
              "         '01010': 2,\n",
              "         '01011': 2,\n",
              "         '01100': 1,\n",
              "         '01101': 5,\n",
              "         '01110': 3,\n",
              "         '01111': 7,\n",
              "         '10000': 3,\n",
              "         '10001': 3,\n",
              "         '10011': 2,\n",
              "         '10100': 3,\n",
              "         '10101': 3,\n",
              "         '10110': 2,\n",
              "         '10111': 1,\n",
              "         '11000': 3,\n",
              "         '11001': 4,\n",
              "         '11011': 2,\n",
              "         '11100': 1,\n",
              "         '11101': 2,\n",
              "         '11110': 9,\n",
              "         '11111': 7})"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 10
        }
      ]
    },
    {
      "metadata": {
        "id": "1wNniY9-WNK9",
        "colab_type": "text"
      },
      "cell_type": "markdown",
      "source": [
        "# 量子もつれを作ろう\n",
        "HゲートとCX (CNOT)ゲートを使うと、量子もつれ状態を作ることができる。\n",
        "量子もつれ状態を作って、観測してみよう"
      ]
    },
    {
      "metadata": {
        "id": "YOvUoX2RQeNf",
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        "outputId": "0a879105-b02d-4fba-eb4d-b80addc4dec2",
        "colab": {
          "base_uri": "https://localhost:8080/",
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        }
      },
      "cell_type": "code",
      "source": [
        "c = Circuit()\n",
        "c.h[0].cx[0, 1].m[:].run(shots=100)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Counter({'00': 43, '11': 57})"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 12
        }
      ]
    },
    {
      "metadata": {
        "id": "7GqMeDCBWf_s",
        "colab_type": "code",
        "colab": {}
      },
      "cell_type": "code",
      "source": [
        ""
      ],
      "execution_count": 0,
      "outputs": []
    }
  ]
}