Characterization of Nash equilibria for quantum games in general position, with full SU(2) strategy space and varying entanglement

IF 2.2 3区物理与天体物理 Q1 PHYSICS, MATHEMATICAL

Quantum Information Processing Pub Date : 2024-12-07 DOI:10.1007/s11128-024-04600-w

Yoshitaka Sakagami

引用次数: 0

Abstract

We consider quantum two-player games and investigate the effect of the degree of entanglement on Nash equilibria. The purpose of this paper is to characterize Nash equilibria by their payoff patterns. We derive all Nash equilibrium payoff patterns that are realized by at least one quantum game.

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具有全SU(2)策略空间和不同纠缠度的一般位置量子博弈纳什均衡的表征

我们考虑了量子二人博弈，并研究了纠缠度对纳什均衡的影响。本文的目的是通过纳什均衡的收益模式来描述纳什均衡。我们推导了所有纳什均衡的支付模式，这些模式是由至少一个量子博弈实现的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Quantum Information Processing 物理-物理：数学物理

CiteScore

4.10

自引率

20.00%

发文量

337

审稿时长

4.5 months

期刊介绍： Quantum Information Processing is a high-impact, international journal publishing cutting-edge experimental and theoretical research in all areas of Quantum Information Science. Topics of interest include quantum cryptography and communications, entanglement and discord, quantum algorithms, quantum error correction and fault tolerance, quantum computer science, quantum imaging and sensing, and experimental platforms for quantum information. Quantum Information Processing supports and inspires research by providing a comprehensive peer review process, and broadcasting high quality results in a range of formats. These include original papers, letters, broadly focused perspectives, comprehensive review articles, book reviews, and special topical issues. The journal is particularly interested in papers detailing and demonstrating quantum information protocols for cryptography, communications, computation, and sensing.