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arXiv 1111.3913quant-ph
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退相干下的三人量子Kolkata餐馆问题

Three-player quantum Kolkata restaurant problem under decoherence

M. Ramzan

摘要:

研究了三人量子Kolkata餐馆问题中的量子退相干效应。振幅阻尼,去极化,相位阻尼,三重相位翻转和相位翻转通道被认为是分析行为的球员支付。可以看出,爱丽丝的回报是严重影响的振幅阻尼通道相比,去极化和翻转通道。然而,对于更高水平的退相干,爱丽丝的支付强烈地受去极化噪声的影响。而相位阻尼通道在50%退相干附近是对称的.对于最大退相干(p=1),振幅阻尼通道的影响超过去极化和翻转通道。而相位阻尼通道对Alice的收益没有影响。因此,在相位阻尼信道的情况下,在最大退相干处的问题变成无噪声问题。此外,该问题的纳什均衡不改变退相干。

英文摘要:

Effect of quantum decoherence in a three-player quantum Kolkata restaurant problem is investigated using tripartite entangled qutrit states. Amplitude damping, depolarizing, phase damping, trit-phase flip and phase flip channels are considered to analyze the behaviour of players payoffs. It is seen that Alice's payoff is heavily influenced by the amplitude damping channel as compared to the depolarizing and flipping channels. However, for higher level of decoherence, Alice's payoff is strongly affected by depolarizing noise. Whereas the behaviour of phase damping channel is symmetrical around 50 % decoherence. It is also seen that for maximum decoherence (p=1), the influence of amplitude damping channel dominates over depolarizing and flipping channels. Whereas, phase damping channel has no effect on the Alice's payoff. Therefore, the problem becomes noiseless one at maximum decoherence in case of phase damping channel. Furthermore, the Nash equilibrium of the problem does not change under decoherence.

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。

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