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gyu-don/はじめてのblueqat.ipynb

Last active December 28, 2018 02:08
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はじめてのBlueqat.ipynb
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はじめてのblueqat.ipynb
{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "はじめてのBlueqat.ipynb",
"version": "0.3.2",
"provenance": [],
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"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>"
]
},
{
"metadata": {
"id": "gJlkp16yEA5q",
"colab_type": "code",
"outputId": "570e5dd2-e855-43b8-829e-f8ad1768c56f",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 86
}
},
"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",
"colab_type": "text"
},
"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",
"colab_type": "code",
"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",
"colab_type": "code",
"outputId": "69ee8f6b-c674-492b-e69c-f389e3bb4feb",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"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",
"colab_type": "text"
},
"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/",
"height": 34
}
},
"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",
"colab_type": "code",
"outputId": "a9cff587-f91c-47ef-f0f3-b02ba448b7c1",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"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",
"colab_type": "code",
"outputId": "0a879105-b02d-4fba-eb4d-b80addc4dec2",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 34
}
},
"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": []
}
]
}
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