一类基于α-Affinity的非双局域关联测度
A Class of Non-bilocal Correlation Measure Based on α-Affinity
刘润康 1王银珠 1尚思晨1
作者信息
- 1. 太原科技大学应用科学学院，山西太原，030024
- 折叠
摘要
通过推广测量诱导非局域性的概念，利用α-Affinity度量，本文提出了一类量化复合量子系统中量子态非双局域关联的测度。对于任意纯态，建立了基于α-Affinity的非双局域度量与传统非局域度量之间的解析关系。对于混合态，通过算符分解和特征值分析，导出了该非双局域度量的两个紧致上界。证明了基于α-Affinity的非双局域度量的基本性质，包括非负性、局域酉不变性以及对纠缠态的严格正性。最后，通过研究各种特殊量子态系综中的非双局域性，展示了所提度量的实际效用，为量子非双局域关联的几何表征提供了新的见解。
Abstract
By extending the concept of measurement-induced non-locality and leveraging the -Affinity metric, we propose a novel measure to quantify non-bilocal correlations in composite quantum systems. For arbitrary pure states, we establish an analytical relationship between the -Affinity based non-bilocal measure and the conventional non-locality measure. For mixed states, two tight upper bounds on the proposed non-bilocal measure are derived by means of operator decomposition and eigenvalue analysis. We verify the fundamental properties of the -Affinity based non-bilocal measure, including non-negativity, local unitary invariance, and non-vanishing behavior for entangled states. Finally, we demonstrate the practical utility of the proposed measure by investigating non-bilocality across various typical quantum state ensembles, thereby yielding new insights into the geometric characterization of quantum non-bilocal correlations.关键词
量子关联/非局域性/非双局域性/α-Affinity/投影测量Key words
quantum correlation/non-locality/non-bilocality/α-Affinity/projection measurements引用本文复制引用
刘润康,王银珠,尚思晨.一类基于α-Affinity的非双局域关联测度[EB/OL].(2026-09-24)[2026-09-27].https://chinaxiv.org/abs/202609.00309.学科分类
物理学
