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ランダムな回路サンプリングにおけるフェーズ移行
A Morvan1, B Villalonga1, X Mi1
1Google Research, Mountain View, CA, USA.
Nature
|October 9, 2024
まとめ
量子プロセッサは騒音の問題に直面しています この研究は,ランダム回路サンプリングの2つの相移行を明らかにし,現在の量子ハードウェアで達成可能な計算的に複雑な相を示しています.
科学分野:
- 量子情報科学
- 量子コンピューティング
- 凝縮物質物理学
背景:
- 量子プロセッサは環境騒音に敏感で 性能を低下させ 計算能力を制限します
- クロスエントロピーベンチマーク (XEB) は,量子プロセッサにおけるヒルベルト空間の有効サイズを推定するために使用される.
- 騒音は量子アルゴリズムを 危うくし クラシックシミュレーションに脆弱にします
研究 の 目的:
- 交差エントロピーのベンチマークを使用して,ランダムな回路サンプリングで観察可能な2つの相移行を実験的に実証し,理論的に説明する.
- 騒音と一貫した進化の相互作用を分析するための弱いリンクモデルを導入する.
- 現在の量子プロセッサでアクセス可能な計算的に複雑なフェーズの存在を確立する.
主な方法:
- ランダム回路サンプリングアルゴリズムの実装.
- 交差エントロピーのベンチマークを用いた2段階の移行の実験観察.
- 統計モデルと弱いリンクモデルを用いた理論的説明
- 67キビットのプロセッサで大規模なランダム回路サンプリング実験の実行.
主要な成果:
- 2つの相移行が実験的に観察された:回路の深さによる動的移行と,エラー率によって制御される量子相移行.
- 量子相転換を分析的に実験的に特定するために弱いリンクモデルが開発されました.
- 67キビットの32サイクルランダム回路サンプリング実験で,古典的なスーパーコンピュータを上回る計算複雑性が示されました.
結論:
- この研究は量子計算における相変化の存在を証明し,ノイズ耐性に関する洞察を提供している.
- 現在の量子プロセッサで計算的に複雑なフェーズに到達できることが示され,実践的な量子優位性への道が開けています.
- この発見は量子コンピューティングにおけるノイズの理解と緩和のための枠組みを提供します.
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