论文标题

多阶段游戏和通信的铃铛场景

Multistage games and Bell scenarios with communication

论文作者

Moreno, George, Nery, Ranieri, Palhares, Alberto, Chaves, Rafael

论文摘要

贝尔非局部性是量子理论的基石,在信息处理中的应用从密码学到​​分布式计算和游戏理论。确实,众所周知,贝尔的定理可以正式链接到贝叶斯游戏,从而允许使用非局部相关性来建议玩家,从而实现新的平衡点,而这些平衡点是不可经过的。在这里,我们概括了此链接,证明了不完整信息的多阶段游戏与贝尔场景之间的联系,涉及双方之间的测量结果。我们将一般框架应用于一些感兴趣的情况,并分析通过量子非局部相关性达到的平衡。

Bell nonlocality is a cornerstone of quantum theory with applications in information processing ranging from cryptography to distributed computing and game theory. Indeed, it is known that Bell's theorem can be formally linked to Bayesian games, allowing the use of nonlocal correlations to advise players and thereby achieve new points of equilibrium that are unavailable classically. Here we generalize this link, proving the connection between multistage games of incomplete information with Bell scenarios involving the communication of measurement outcomes between the parties. We apply the general framework for a few cases of interest and analyze the equilibrium reached by quantum nonlocal correlations.

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