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)
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
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.
Received: 29 June 2006
Revised: 24 November 2006
Accepted manuscript online:
PACS:
42.50.Lc
(Quantum fluctuations, quantum noise, and quantum jumps)
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