任意最大纠缠量子囚徒困境

Abd El-Hakeem E. H. Abd El-Naby, Heba A. Elrayes, Ahmed M. K. Tarabia, Ahmed S. Elgazzar
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引用次数: 0

摘要

最大纠缠(ME) Eisert-Wilkens-Lewenstein (EWL)量化方案有效地解决了经典的囚徒困境(PD)。尽管对EWL方案进行了深入的研究,但对仲裁者在控制方案性质中的作用知之甚少。我们通过在ME初始态中引入任意相移来重新定义EWL方案。本研究分析了四种基本初始状态。发现仲裁者完全控制了任意ME量子PD的特性。仲裁者可以通过调整初始状态来获得有效的对称纳什均衡。相反,仲裁器可以抵消量化优势。此外,它可以保持/破坏游戏的对称性,甚至将其转变为潜在的游戏。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Arbitrary maximally entangled quantum prisoner’s dilemma
The maximally entangled (ME) Eisert–Wilkens–Lewenstein (EWL) quantization scheme efficiently solves the classical prisoner’s dilemma (PD). Despite the intensive research on the EWL scheme, little is known about the role of the arbiter in controlling the scheme properties. We redefine the EWL scheme by introducing an arbitrary phase shift into the ME initial state. Four basic initial states were analyzed in this study. It is found that the arbiter completely controls the characteristics of the arbitrary ME quantum PD. The arbiter can adjust the ME initial state to obtain an efficient symmetric Nash equilibrium. In contrast, the arbiter can nullify the quantization advantages. Moreover, it can preserve/violate the symmetry of the game or even turn it into a potential game.
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