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量子博弈中的非经典规则。

Non-Classical Rules in Quantum Games.

作者信息

Frąckiewicz Piotr

机构信息

Institute of Exact and Technical Sciences, Pomeranian University in Słupsk, ul. Arciszewskiego 22d, 76-200 Słupsk, Poland.

出版信息

Entropy (Basel). 2021 May 13;23(5):604. doi: 10.3390/e23050604.

DOI:10.3390/e23050604
PMID:34068381
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8153349/
Abstract

Over the last twenty years, quantum game theory has given us many ideas of how quantum games could be played. One of the most prominent ideas in the field is a model of quantum playing bimatrix games introduced by J. Eisert, M. Wilkens and M. Lewenstein. The scheme assumes that players' strategies are unitary operations and the players act on the maximally entangled two-qubit state. The quantum nature of the scheme has been under discussion since the article by Eisert et al. came out. The aim of our paper was to identify some of non-classical features of the quantum scheme.

摘要

在过去的二十年里，量子博弈论为我们提供了许多关于如何进行量子博弈的思路。该领域最突出的思路之一是由J. 艾泽特、M. 威尔肯斯和M. 莱温斯坦提出的量子双矩阵博弈模型。该方案假设玩家的策略是酉运算，且玩家作用于最大纠缠双量子比特态。自艾泽特等人的文章发表以来，该方案的量子性质一直处于讨论之中。我们论文的目的是确定该量子方案的一些非经典特征。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fb3d/8153349/77d5464c892a/entropy-23-00604-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fb3d/8153349/4840423af49e/entropy-23-00604-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fb3d/8153349/21cd3f63faf0/entropy-23-00604-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fb3d/8153349/4779b92cffec/entropy-23-00604-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fb3d/8153349/78bf5c8ace94/entropy-23-00604-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fb3d/8153349/f16dc05fe641/entropy-23-00604-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fb3d/8153349/77d5464c892a/entropy-23-00604-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fb3d/8153349/4840423af49e/entropy-23-00604-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fb3d/8153349/21cd3f63faf0/entropy-23-00604-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fb3d/8153349/4779b92cffec/entropy-23-00604-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fb3d/8153349/78bf5c8ace94/entropy-23-00604-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fb3d/8153349/f16dc05fe641/entropy-23-00604-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/fb3d/8153349/77d5464c892a/entropy-23-00604-g006.jpg

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本文引用的文献

1
Efficiency of Classical and Quantum Games Equilibria.经典与量子博弈均衡的效率
Entropy (Basel). 2021 Apr 22;23(5):506. doi: 10.3390/e23050506.
2
Tripartite Dynamic Zero-Sum Quantum Games.三方动态零和量子博弈
Entropy (Basel). 2021 Jan 27;23(2):154. doi: 10.3390/e23020154.
3
Quantum Games with Unawareness.无意识的量子博弈。
Entropy (Basel). 2018 Jul 26;20(8):555. doi: 10.3390/e20080555.