高階演算子相関関数を介した量子情報の伝播
Quantum information spreading via higher-order operator correlators (arxiv.org)
要約
本論文では、N個の演算子からなる相関関数（N-Operator Correlator, NOC）を導入し、量子情報の伝播を測定する新たな視点を提供します。これは、宇宙論におけるN点相関関数のアイデアを活用し、従来の2演算子OTOCの分析制限を克服するものです。NOCは、量子情報伝播の度合いを測定するための、より広範な測定プローブを考慮することができます。
全文翻訳
Quantum Physics
arXiv:2609.05472 (quant-ph)
[Submitted on 21 Aug 2026]
Title:高階演算子相関関数による量子情報の伝播
Authors:M Süzen
View a PDF of the paper titled Quantum information spreading via higher-order operator correlators, by M S"uzen
Abstract:我々は、N演算子相関関数を導入することにより、量子情報伝播を測定する視点を提供します。宇宙論におけるN点相関関数のアイデアを活用し、N演算子相関関数（NOC）と呼ばれる一般化された時間順序外相関関数（OTOC）を定式化します。この定式化により、OTOCで2つの演算子のみを選択することに伴う限定的な解析の影響を低減できます。NOCは、量子情報伝播の度合いを測定する際に、より大きな測定プローブのセットを考慮に入れることができます。我々は、有限温度における演算子の時間発展の熱平均を計算するために、縦磁場中の単一量子ビットとXYZ二量子ビット系の2つの解析的に扱いやすい玩具システムでこれらの概念を実証します。我々の視点は、量子力学における一般化された演算子相関関数への基本的な入門として役立ちます。
| Comments: | 7 pages, 2 figures, 32 equations and 43 citations |
| Subjects: | Quantum Physics (quant-ph); Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Theory (hep-th) |
| MSC classes: | 81S99, 82Bxx, 60K99 |
| ACM classes: | G.3; G.2.1 |
| Cite as: | arXiv:2609.05472 [quant-ph] |
| (or arXiv:2609.05472v1 [quant-ph] for this version) | |
| https://doi.org/10.48550/arXiv.2609.05472 arXiv-issued DOI via DataCite |
Submission history
From: Mehmet A. Süzen PhD
[v1] Fri, 21 Aug 2026 08:44:11 UTC (77 KB)
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