一色纸牌的量子博弈

J4 ›› 2012, Vol. 29 ›› Issue (2): 171-177.

一色纸牌的量子博弈

王清亮¹,任恒峰¹,侯胜侠²,连润明¹

1 忻州师范学院物理电子系，山西忻州，034000；
2 河北理工大学轻工学院，河北唐山，063000

收稿日期:2011-04-11 修回日期:2011-06-02 出版日期:2012-03-28 发布日期:2012-02-28
通讯作者: 王清亮（1979-），山东聊城人，硕士，讲师，主要从事量子信息研究。 E-mail:leky.w@mail.nankai.edu.cn
基金资助:
山西省青年科技研究基金（2010021003-5），忻州师院院级基金资助课题

Quantum game of the same color cards

WANG Qing-liang¹, REN Heng-feng¹, HOU Sheng-xia², LIAN Run-ming¹

1 Department of Physics and Electronics, Xinzhou Teachers University, Xinzhou 034000, China;
2 College of Light Industry, Hebei Polytechnic University, Tangshan 063000, China

Received:2011-04-11 Revised:2011-06-02 Published:2012-03-28 Online:2012-02-28

摘要/Abstract

摘要：

量子博弈是量子信息的一个重要分支。基于单硬币量子博弈理论，主要讨论了N=-13的一色纸牌量子博弈，并将其推广到了任意态的情形。在经典博弈中，两人对一色13张纸牌轮流洗牌，所得最后一张牌的结果任何一个人都没法控制。而在量子博弈中，若游戏者之一Bob采用量子策略来进行洗牌，而另一个游戏参与者仍采用经典的洗牌方式，则Bob总可以使最后一张牌是他所想要得到的那张。进而可以说明：对于一色纸牌博弈模型，量子策略比经典策略更具优越性。

关键词: 量子信息, 一色纸牌, 量子策略, 量子博弈

Abstract:

Quantum game is one of the important branches in quantum information. Based on the theory of the single-coin-tossing quantum game, quantum game of the same color cards is discussed here, and the theory is also extended for the model which has N states. In classical game, two players shuffle the 13 cards which have the same color in turn, and anyone can not control which the last card is. In quantum game, if one of the players, such as Bob, shuffles the cards using quantum strategies instead of classical ones, while the other player still adopts the usual classical operation, he could always make the last card be what he wants. And then, it is concluded that quantum strategies are more successful than classical ones for the game of the same color cards.

Key words: quantum information, the same color cards, quantum strategy, quantum games

中图分类号:

O431.2

王清亮任恒峰侯胜侠连润明. 一色纸牌的量子博弈[J]. J4, 2012, 29(2): 171-177.

WANG Qing-liang, REN Heng-feng, HOU Sheng-xia, LIAN Run-ming. Quantum game of the same color cards[J]. J4, 2012, 29(2): 171-177.

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