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量子コンピュータ 勉強会 原田 浩充

量子コンピュータ 勉強会 - Coocandai2doyo.world.coocan.jp/documents/Quantum_Computer.pdf · ・常温超電導ができたとかできないとか... 参考文献 [1] よくわかる最新量子コンピュータの基本と仕組み,長橋賢吾,2018

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Page 1: 量子コンピュータ 勉強会 - Coocandai2doyo.world.coocan.jp/documents/Quantum_Computer.pdf · ・常温超電導ができたとかできないとか... 参考文献 [1] よくわかる最新量子コンピュータの基本と仕組み,長橋賢吾,2018

量子コンピュータ勉強会

原田 浩充

Page 2: 量子コンピュータ 勉強会 - Coocandai2doyo.world.coocan.jp/documents/Quantum_Computer.pdf · ・常温超電導ができたとかできないとか... 参考文献 [1] よくわかる最新量子コンピュータの基本と仕組み,長橋賢吾,2018

目次・量子論と古典論・量子コンピュータとは何か・量子コンピュータと古典コンピュータの違い・量子コンピュータの優れている点・例題・ビジネスチャンス

Page 3: 量子コンピュータ 勉強会 - Coocandai2doyo.world.coocan.jp/documents/Quantum_Computer.pdf · ・常温超電導ができたとかできないとか... 参考文献 [1] よくわかる最新量子コンピュータの基本と仕組み,長橋賢吾,2018

量子論と古典論

Page 4: 量子コンピュータ 勉強会 - Coocandai2doyo.world.coocan.jp/documents/Quantum_Computer.pdf · ・常温超電導ができたとかできないとか... 参考文献 [1] よくわかる最新量子コンピュータの基本と仕組み,長橋賢吾,2018

量子コンピュータとは何か

スピンを利用して量子の状態をコントロール

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量子bitブロッホ球

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Page 5: 量子コンピュータ 勉強会 - Coocandai2doyo.world.coocan.jp/documents/Quantum_Computer.pdf · ・常温超電導ができたとかできないとか... 参考文献 [1] よくわかる最新量子コンピュータの基本と仕組み,長橋賢吾,2018

量子コンピュータと古典コンピュータの違い

古典コンピュータ1bit=1情報

量子コンピュータ1bit=2情報

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50bit=50情報 50bit=  情報<latexit sha1_base64="50/Lu42UCk5KEQd31hPMd+gA2AY=">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</latexit><latexit sha1_base64="50/Lu42UCk5KEQd31hPMd+gA2AY=">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</latexit><latexit sha1_base64="50/Lu42UCk5KEQd31hPMd+gA2AY=">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</latexit><latexit sha1_base64="50/Lu42UCk5KEQd31hPMd+gA2AY=">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</latexit>

=1,125,899,906,842,624情報

1京を超える

Page 6: 量子コンピュータ 勉強会 - Coocandai2doyo.world.coocan.jp/documents/Quantum_Computer.pdf · ・常温超電導ができたとかできないとか... 参考文献 [1] よくわかる最新量子コンピュータの基本と仕組み,長橋賢吾,2018

量子コンピュータの優れている点

・ビッグデータの高速データ解析・機械学習の高速化・解読不能な量子暗号による安全な通信

Page 7: 量子コンピュータ 勉強会 - Coocandai2doyo.world.coocan.jp/documents/Quantum_Computer.pdf · ・常温超電導ができたとかできないとか... 参考文献 [1] よくわかる最新量子コンピュータの基本と仕組み,長橋賢吾,2018

例題グローバーの探索問題

古典的には、総当たりで順にめくるアルゴリズムしかなく、たまたま最初に見つかることもあるが、最悪の場合、最後に見つかることもあり、平均確率は25%である。しかし、グローバーの探索アルゴリズムを使うと、雑音(ノイズ)がなければ1回で必ず100%の確率で見つけることができる。

バラバラに並んだ4枚の裏向きのトランプがある。その中から欲しいカードを見つけるどうすれば良いだろうか。

Page 8: 量子コンピュータ 勉強会 - Coocandai2doyo.world.coocan.jp/documents/Quantum_Computer.pdf · ・常温超電導ができたとかできないとか... 参考文献 [1] よくわかる最新量子コンピュータの基本と仕組み,長橋賢吾,2018

例題グローバーの探索問題

バラバラに並んだ4枚の裏向きのトランプがある。その中から欲しいカードを見つけるどうすれば良いだろうか。

Page 9: 量子コンピュータ 勉強会 - Coocandai2doyo.world.coocan.jp/documents/Quantum_Computer.pdf · ・常温超電導ができたとかできないとか... 参考文献 [1] よくわかる最新量子コンピュータの基本と仕組み,長橋賢吾,2018

例題グローバーの探索問題

②整列化されていないN個のデータベースの中で何を探索したいのか、その項目の番号をマーキングする。(古典的に言うと心の中でJokerを見つけると決める。量子的には、ある変換をかけることでJokerの基底ベクトルの位相を反転させる。)

①整列化されていないN個のデータベースの状態ベクトルを作成する。(アダマール変換をかけるという。)

③マーキングされた状態の平均値の周りで反転させれば、効率良くデータベースからJokerを探索できる。(振幅増幅手法という。)

手順

Page 10: 量子コンピュータ 勉強会 - Coocandai2doyo.world.coocan.jp/documents/Quantum_Computer.pdf · ・常温超電導ができたとかできないとか... 参考文献 [1] よくわかる最新量子コンピュータの基本と仕組み,長橋賢吾,2018

例題グローバーの探索問題

①整列化されていないN個のデータベースの状態ベクトルを作成する。(アダマール変換をかけるという。)

手順

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状態 量子コンピュータのコード

アダマール変換

Page 11: 量子コンピュータ 勉強会 - Coocandai2doyo.world.coocan.jp/documents/Quantum_Computer.pdf · ・常温超電導ができたとかできないとか... 参考文献 [1] よくわかる最新量子コンピュータの基本と仕組み,長橋賢吾,2018

例題グローバーの探索問題手順

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状態 量子コンピュータのコード

|3>をマーキングするコード

②整列化されていないN個のデータベースの中で何を探索したいのか、その項目の番号をマーキングする。(古典的に言うと心の中でJokerを見つけると決める。量子的には、ある変換をかけることでJokerの基底ベクトルの位相を反転させる。)

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平均値

Page 12: 量子コンピュータ 勉強会 - Coocandai2doyo.world.coocan.jp/documents/Quantum_Computer.pdf · ・常温超電導ができたとかできないとか... 参考文献 [1] よくわかる最新量子コンピュータの基本と仕組み,長橋賢吾,2018

例題グローバーの探索問題手順

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状態

量子コンピュータのコード

③マーキングされた状態の平均値の周りで反転させれば、効率良くデータベースからJokerを探索できる。(振幅増幅手法という。)

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アダマール変換 |3>をマーキングするコード

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拡散変換D

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!※位相因子は観測にかからないので無視している

Page 13: 量子コンピュータ 勉強会 - Coocandai2doyo.world.coocan.jp/documents/Quantum_Computer.pdf · ・常温超電導ができたとかできないとか... 参考文献 [1] よくわかる最新量子コンピュータの基本と仕組み,長橋賢吾,2018

例題グローバーの探索問題

量子コンピュータを使えば一回のコードで100%Jokerを発見できる!!

Page 14: 量子コンピュータ 勉強会 - Coocandai2doyo.world.coocan.jp/documents/Quantum_Computer.pdf · ・常温超電導ができたとかできないとか... 参考文献 [1] よくわかる最新量子コンピュータの基本と仕組み,長橋賢吾,2018

ビジネスチャンス

大手会社・D-wave・IBM・Google・IonQ・Microsoft

Page 15: 量子コンピュータ 勉強会 - Coocandai2doyo.world.coocan.jp/documents/Quantum_Computer.pdf · ・常温超電導ができたとかできないとか... 参考文献 [1] よくわかる最新量子コンピュータの基本と仕組み,長橋賢吾,2018

まとめ・量子コンピュータにしかできないこともある・クラウドで公開しているので、システム会社としては自社開発でなくてもよい。・ハードウェアの開発に主に問題があるが、そのうち解決するだろう。・エラー率が高いが、近い将来解決するだろう。・常温超電導ができたとかできないとか...

参考文献[1] よくわかる最新量子コンピュータの基本と仕組み,長橋賢吾,2018[2] クラウド量子計算入門,中山茂,2016