广义概率论中规则多边形理论的最佳 CHSH 值

IF 2 3区物理与天体物理 Q2 PHYSICS, MATHEMATICAL

Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-08-29 DOI:10.1088/1751-8121/ad7077

Ryo Takakura

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引用次数: 0

摘要

在本研究中，我们考虑了广义概率理论（GPT），并重点研究了一类称为正多边形理论的理论，它们可被视为两级量子系统（量子比特系统）的自然广义化。众所周知，在量子理论的通常 CHSH 设置中，CHSH 值是由最大纠缠态优化的。这项研究将揭示，在规则多边形理论中也能得到同样的观察结果。我们的结果为正多边形理论中的 "最大纠缠 "概念赋予了物理意义。

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Optimal CHSH values for regular polygon theories in generalized probabilistic theories

In this study, we consider generalized probabilistic theories (GPTs) and focus on a class of theories called regular polygon theories, which can be regarded as natural generalizations of a two-level quantum system (a qubit system). In the usual CHSH setting for quantum theory, the CHSH value is known to be optimized by maximally entangled states. This research will reveal that the same observations are obtained also in regular polygon theories. Our result gives a physical meaning to the concept of ‘maximal entanglement’ in regular polygon theories.

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来源期刊

Journal of Physics A: Mathematical and Theoretical 物理-物理：数学物理

CiteScore

4.10

自引率

14.30%

发文量

542

审稿时长

1.9 months

期刊介绍： Publishing 50 issues a year, Journal of Physics A: Mathematical and Theoretical is a major journal of theoretical physics reporting research on the mathematical structures that describe fundamental processes of the physical world and on the analytical, computational and numerical methods for exploring these structures.