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量子情報勉強会|4>
1.
2014/01/19 @ganpon714
2.
Agenda • 1.5 量子情報処理の実験 •
1.5.1 Stern-Gerlachの実験 • 1.5.2 現実的な量子情報処理の展望 2
3.
1.5 量子情報処理の実験 3
4.
1.5 量子情報処理の実験 • 量子計算と量子情報は素晴らしい理論の発見 •
量子の「重ね合わせ」や「もつれ」は日常世界の直感とは相反する qビットの振る舞いについてはこれまで学習してきた • 疑問 1、大規模量子コンピュータの実現は実験的に可能か? 2、大規模化を阻む物理学的原理があるのではないか? 現実的な量子情報処理システムを構築するかを1.5章で扱う 4
5.
1.5.1 Stern-Gerlachの実験 5
6.
1.5.1 Stern-Gerlachの実験 • Stern-Gerlach(シュテルン-ゲルラッハ)の実験 1921年Sternによって考案され、 1922年Gerlachによって実験された。 高温炉から銀原子を ビームとして飛ばす 1927年に炉は銀から水素へ変更 (効果を明瞭にするため) 原子の到達位置 が観測される 磁界で偏向 Wikipediaのシュテルン-ゲルラッハの実験より画像を引用 6
7.
1.5.1 Stern-Gerlachの実験 この実験には2つの驚きがある 1、高温炉で作られる熱い原子はランダムにあらゆる方向を向いた双 極子 を持っているので炉から出た原子は全ての角度に連続分布するは ず ⇒実際の観察では原子の出射角度は離散的な集合 2、水素原子の磁気双極子モーメントはゼロのはず (古典的には電子の軌道運動がない) 原子ビームは1本だけであってビームが磁界で偏向されるはずが ない ⇒水素原子中の電子にはスピンと呼ぶ量を伴う 7
8.
1.5.1 Stern-Gerlachの実験 高温炉 Z Stern-Gerlachの実験の模式図 (図 1.22) 高温炉 Z ■ X ? 8
9.
1.5.1 Stern-Gerlachの実験 高温炉 Z ■ X 縦続型のStern-Gerlach測定 (図 1.23) 9
10.
1.5.1 Stern-Gerlachの実験 高温炉 Z ■ X ■ Z 3段縦続型のStern-Gerlach測定 (図 1.24) 10
11.
1.5.1 Stern-Gerlachの実験 縦続型のStern-Gerlachの実験の結果はqビットモデルで予測可能。 この例はqビットが自然界のシステムをモデル化する際の信頼すべき 方法。 11
12.
1.5.2 現実的な量子情報処理の展望 12
13.
1.5.2 現実的な量子情報処理の展望 • 量子情報処理デバイスの構築 現在の科学技術者にとって大きな挑戦である。 •
最も基本的な疑問 大規模量子情報デバイス開発を永遠に阻む障害はないのか? 1、量子雑音 ⇒量子誤まり訂正符合理論によれば、 量子雑音は対処すべき具体的な問題だが原理上の障害ではない。 2、量子力学は正しくないかも知れない ⇒量子力学が完全であると仮定して話しを進める。 新たな科学的発見が量子情報処理に与えるインパクトについて、 現時点で予測することは困難である。 13
14.
1.5.2 現実的な量子情報処理の展望 • 量子情報処理デバイスを構築する基本的障害は「ない」 ならば、なぜ膨大な時間と資金とリソースを投入して構築するの か? ⇒これまで議論してきた (量子暗号や大きな合成数の素因数分解のような実用的応用) •
量子情報処理と古典情報処理の相対的利点 「量子コンピュータは古典コンピュータより強力か?」 ⇒この答えは当面得られない マイクロプロセッサが最初はエレベータなどの制御装置に使わ れた。 14 量子情報処理デバイスがどうのように応用されるか誰にもわか
15.
1.5.2 現実的な量子情報処理の展望 • 小規模な量子計算と量子情報の応用 多数の量子計算と量子情報の応用が知られている。 1、量子状態トモグラフィー システムの量子状態を決定する方法 2、量子プロセストモグラフィー 量子ゲートや量子通信チャンネルの性能を解明したり システムの異なる雑音過程のタイプや大きさを決定する方法。 詳しくは8章(第Ⅲ巻)、12章(第Ⅲ巻)に記述されているので 省略 15
16.
1.5.2 現実的な量子情報処理の展望 16
17.
1.5.2 現実的な量子情報処理の展望 • 大規模な量子計算と量子情報の応用 大規模な応用はあまり知られていない。 1、大きな整数の素因数分解 2、離散対数の計算 3、量子探索 1と2は現行の公開鍵暗号システムを無力にする否定的な効果に期 待 しかし、これらが長期にわたって重要な応用を占めるとは思えない。 量子探索については6章(第Ⅱ巻)に先送りする。 17
18.
1.5.2 現実的な量子情報処理の展望 • 大規模な量子計算と量子情報の応用 実際にすばらしいのは、もっと多くの量子情報の応用があること 18
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