arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0901.2067quant-ph
收藏

三人囚徒困境量子博弈中的噪声效应

Noise effects in a three-player Prisoner's Dilemma quantum game

M. Ramzan, M. K. Khan

摘要:

本文研究了退相干和相关噪声作用下的三人囚徒困境博弈。可以看出,量子参与者总是比经典参与者更好。同时也可以看出,博弈的纳什均衡在相关噪声的存在下并不改变,这与多人博弈中的退相干效应相矛盾。此外,它表明,对于最大的相关性的游戏不表现为一个无噪声的游戏和量子球员仍然是更好的所有值的退相干参数p,这是不可能在两个球员的情况下。此外,由于退相干而导致的收益减少在整个博弈过程中受到相关噪声的控制。

英文摘要:

We study the three-player Prisoner's Dilemma game under the effect of decoherence and correlated noise. It is seen that the quantum player is always better off over the classical players. It is also seen that the game's Nash equilibrium does not change in the presence of correlated noise in contradiction to the effect of decoherence in multiplayer case. Furthermore, it is shown that for maximum correlation the game does not behave as a noiseless game and the quantum player is still better off for all values of the decoherence parameter p which is not possible in the two-player case. In addition, the payoffs reduction due to decoherence is controlled by the correlated noise throughout the course of the game.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑