中国物理B ›› 2007, Vol. 16 ›› Issue (4): 915-918.doi: 10.1088/1009-1963/16/4/008

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The effect of quantum noise on multiplayer quantum game

曹帅1, 方卯发1, 郑小娟2   

  1. (1)College of Physics and Information Science,Hunan Normal University, Changsha 410081, China; (2)College of Physics and Information Science,Hunan Normal University, Changsha 410081, China；School of Physics Science and Technology, Central South University, Changsha 410083, China
  • 收稿日期:2006-06-29 修回日期:2006-11-24 出版日期:2007-04-20 发布日期:2007-04-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 10374025).

The effect of quantum noise on multiplayer quantum game

Cao Shuai(曹帅)a)b), Fang Mao-Fa(方卯发)a)†, and Zheng Xiao-Juan(郑小娟)a)c)   

  1. a College of Physics and Information Science,Hunan Normal University, Changsha 410081, China; b College of Sciences, South China Agricultural University, Guangzhou 510642, China; c School of Physics Science and Technology, Central South University, Changsha 410083, China
  • Received:2006-06-29 Revised:2006-11-24 Online:2007-04-20 Published:2007-04-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 10374025).

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摘要： It has recently been realized that quantum strategies have a great advantage over classical ones in quantum games. However, quantum states are easily affected by the quantum noise, resulting in decoherence. In this paper, we investigate the effect of quantum noise on a multiplayer quantum game with a certain strategic space, with all players affected by the same quantum noise at the same time. Our results show that in a maximally entangled state, a special Nash equilibrium appears in the range of $0\leq p\leq0.622$  ($p$ is the quantum noise parameter), and then disappears in the range of 0.622

关键词: entanglement, quantum game, quantum noise, Nash equilibrium

Abstract: It has recently been realized that quantum strategies have a great advantage over classical ones in quantum games. However, quantum states are easily affected by the quantum noise, resulting in decoherence. In this paper, we investigate the effect of quantum noise on a multiplayer quantum game with a certain strategic space, with all players affected by the same quantum noise at the same time. Our results show that in a maximally entangled state, a special Nash equilibrium appears in the range of $0\leq p\leq0.622$  ($p$ is the quantum noise parameter), and then disappears in the range of 0.622<p?1. Increasing the amount of quantum noise leads to the reduction of the quantum player's payoff.

Key words: entanglement, quantum game, quantum noise, Nash equilibrium

中图分类号:  (Quantum fluctuations, quantum noise, and quantum jumps)

  • 42.50.Lc
42.50.Dv (Quantum state engineering and measurements) 03.65.Ud (Entanglement and quantum nonlocality) 03.67.-a (Quantum information)