不同噪声信道对多硬币量子博弈影响的探究  

Research on the Influence of Different Noise Channels on Multi-coin Quantum Game

作　　者：张舒宁 马思佳 王奕涵 张新立[1] ZHANG Shu-ning;MA Si-jia;WANG Yi-han;ZHANG Xin-li(School of Mathematics,Liaoning Normal University,Dalian 116029,China)

机构地区：[1]辽宁师范大学数学学院,辽宁大连116029

出　　处：《量子光学学报》2022年第2期107-113,共7页Journal of Quantum Optics

基　　金：教育部人文社科项目(21YJA630116)。

摘　　要：针对量子系统与外部环境耦合导致的退相干现象,利用量子博弈相关理论,建立了相位阻尼信道,振幅阻尼信道和去极化信道条件下的多硬币量子博弈模型,推导出了三种噪声信道条件下量子参与人获胜概率的变化规律,并对其两种影响因素:噪声强度和硬币数量进行了分析,计算出了其函数式并得出:量子参与人获胜概率与噪声强度和硬币数量呈现显著的负相关性,硬币数量越多,量子参与人胜率随着噪声强度变化的速度越快,当噪声强度达到最大时,量子策略失去其优势,说明经典参与人在意识到对方使用量子策略时如果想获得胜利需拖延时间增加噪声对其影响。且在以上的三种信道中,相位阻尼噪声信道对胜率影响最小,去极化噪声信道影响最大,为在不同外部环境条件下多硬币的博弈决策提供了理论依据。After studying the classical multi-coin quantum game, aiming at the decoherence phenomenon caused by the coupling between the quantum system and the external environment, using the quantum game theory, the multi-coin quantum game models under the conditions of phase damping channel, amplitude damping channel and depolarization channel are established, and the variation laws of the quantum player’s winning probability under three kinds of noise channels are deduced, The two influencing factors: noise intensity and the number of coins are analyzed, the functional formula is calculated, and it is concluded that there is a significant negative correlation between the quantum player’s winning probability and the noise intensity and the number of coins. The more coins, the faster the quantum participant’s winning probability changes with the noise intensity. When the noise intensity reaches the maximum, the quantum strategy loses its advantage, It shows that classical participants need to delay time and increase the impact of noise if they want to win when they realize that the other party uses the quantum strategy. And when the system is in a closed state, the number of coins has nothing to do with the game result, the quantum player will always win. In the open environment, the more coins, the faster the winning rate of the quantum player decreases with the increase of noise intensity.In addition, among the three channels mentioned above, the phase damping noise channel has the least impact on the winning rate and the depolarization noise channel has the greatest impact. These laws will not be affected by the number of coins. Therefore,in order to obtain greater advantages in the game, the player using quantum strategy should choose the amplitude damping channel if they can choose, in order to reduce the of quantum player, participants using classical strategies will choose the depolarization channel, which provides a theoretical basis for multi-coin game decision-making under different external environment con

关 键 词：多硬币量子博弈 量子博弈论 噪声信道 

分 类 号：O413[理学—理论物理]