arXiv quant-ph/06060452006-06quant-ph

量子博弈熵

Quantum Games Entropy

Esteban Guevara Hidalgo

备注：: 6 pages
发表信息：: Physica A 383/2, 797-804 (2007)
DOI：: 10.1016/j.physa.2007.05.001

摘要：

我们提出从量子信息论和统计力学的角度来研究量子博弈。每个博弈都可以用密度算符、冯诺伊曼熵和量子复制子动力学来描述。博弈论、信息论和统计物理之间存在着密切的联系。密度算符和熵是这些理论之间的纽带。我们提出的分析是基于熵的属性，玩家可以获得关于他的对手的信息量和最大或最小熵标准。一个物理系统的自然趋势是它的最大熵状态。最小熵状态是被操纵系统的特征，即外部控制或强加的。在集体福利原则下，制度内部存在着不需要具体化或明确化的隐性规则，寻求制度均衡。当系统中的一个或多个成员违反这一原则，以牺牲群体利益为代价来最大化个体福利时，其他规则就被强加于系统之上。

英文摘要：

We propose the study of quantum games from the point of view of quantum information theory and statistical mechanics. Every game can be described by a density operator, the von Neumann entropy and the quantum replicator dynamics. There exists a strong relationship between game theories, information theories and statistical physics. The density operator and entropy are the bonds between these theories. The analysis we propose is based on the properties of entropy, the amount of information that a player can obtain about his opponent and a maximum or minimum entropy criterion. The natural trend of a physical system is to its maximum entropy state. The minimum entropy state is a characteristic of a manipulated system i.e. externally controlled or imposed. There exist tacit rules inside a system that do not need to be specified or clarified and search the system equilibrium under the collective welfare principle. The other rules are imposed over the system when one or many of its members violate this principle and maximize its individual welfare at the expense of the group.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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英文摘要：

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