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An Improvement of Quantum Prisoners’ Dilemma Protocol of Eisert-Wilkens-Lewenstein

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Abstract

In this paper, an improvement for quantum Prisoners’ Dilemma protocol of Eisert-Wilkens-Lewenstein (EWL) is presented. This improvement differs from EWL protocol in that the initial quantum states of Alice and Bob are changeable by themselves. The research results show that when the social optimal initial quantum states are chosen, the payoffs of Alice and Bob from Mixed Strategies at multiple Nash equilibrium are higher than those of EWL protocol. Moreover, with certain payoff matrix and entanglement degree, this improvement can find pure strategy Nash equilibrium where EWL protocol has none.

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Acknowledgments

Funding by the Natural Science Foundation of Zhejiang Province (Grant No.LY18F020007) is gratefully acknowledged.

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  1. College of Information & Electronic Engineering, Zhejiang Gongshang University, Hangzhou, 310018, People’s Republic of China

    De He & Tianyu Ye

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  1. De He
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  2. Tianyu Ye
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Correspondence to Tianyu Ye.

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He, D., Ye, T. An Improvement of Quantum Prisoners’ Dilemma Protocol of Eisert-Wilkens-Lewenstein. Int J Theor Phys 59, 1382–1395 (2020). https://doi.org/10.1007/s10773-019-04351-w

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  • DOI: https://doi.org/10.1007/s10773-019-04351-w

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