量子纠缠和量子操作对CHSH量子博弈优越性的影响

J4 ›› 2015, Vol. 32 ›› Issue (5): 581-586.

量子纠缠和量子操作对CHSH量子博弈优越性的影响

姚嘉祥,巩龙延

1南京邮电大学信息物理研究中心及应用物理学系，江苏南京 210003；
2 南京邮电大学通信与信息工程学院，江苏南京 210003

收稿日期:2014-10-30 修回日期:2014-12-30 出版日期:2015-09-28 发布日期:2015-09-28
通讯作者: 巩龙延（1976- ）江苏人，教授，硕士生导师，从事量子信息与统计物理交叉、量子信息处理以及安全协议的研究和教学。 E-mail:lygong@njupt.edu.cn
作者简介:姚嘉祥（1987- ）山东人，研究生，从事量子博弈论的研究。 Email:andy6666@aliyun.com
基金资助:
国家自然科学基金( 61271238 )、江苏省青蓝工程基金、南京邮电大学校基金( XK0070913126 )

Influence of quantum entanglement and quantum operation on superiority of the CHSH quantum game

Yao Jiaxiang, Gong Longyan

1 Information Physics Research Center and Department of Applied Physics, Nanjing University of Posts and Telecommunications, Nanjing 210003, China;
2 College of Telecommunication & Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing 210003, China

Received:2014-10-30 Revised:2014-12-30 Published:2015-09-28 Online:2015-09-28

摘要/Abstract

摘要：

已有的大多数有关量子博弈的研究只关注粒子处在最大纠缠态和特定的量子操作时模型的优越性。在实际应用中，所用粒子可能偏离最大纠缠态，量子操作也可能存在一定的偏差。基于此，研究了这两方面对CHSH量子博弈模型优越性的影响。结果表明，当粒子处在特定纠缠态时，量子获胜概率并不总是大于经典获胜概率，采用不同的量子旋转门操作可以达到的最大量子获胜概率随着量子态纠缠度的增大而增大。在对应的量子门旋转角附近，某些旋转角范围对应的变化较小。这些研究对量子博弈的应用提供了理论指导。

关键词: 量子信息, CHSH博弈, 量子策略, 量子纠缠

Abstract:

Recently, quantum game has attracted more and more attention. Most of the studies focused on the advantages of quantum game in the case of the maximally entangled states and the certain quantum operations. In practice, the particles may not in the maximally entangled state and there are some quantum operation deviations. For this, the two factors are considered in CHSH game. It is found that when particles are in general entangled quantum states, the probability of winning for quantum strategy is not always greater than that for classical strategy , therefore suitable quantum operations should be chosen to satisfy . The maximum of the probability of winning for quantum strategy increases with the degree of entanglement of quantum states. For some angle regions that near the angle corresponding to , the P change slightly. All these studies provide theoretical guidance for quantum games.

Key words: quantum information, CHSH game, quantum strategy, quantum entanglement

中图分类号:

O431.2

姚嘉祥巩龙延. 量子纠缠和量子操作对CHSH量子博弈优越性的影响[J]. J4, 2015, 32(5): 581-586.

Yao Jiaxiang, Gong Longyan. Influence of quantum entanglement and quantum operation on superiority of the CHSH quantum game[J]. J4, 2015, 32(5): 581-586.

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