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Arbitrary maximally entangled quantum prisoner's dilemma.

  • Published In: Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences, 2024, v. 79, n. 2. P. 133 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Abd El-Naby, Abd El-Hakeem E. H.; Elrayes, Heba A.; Tarabia, Ahmed M. K.; Elgazzar, Ahmed S. 3 of 3

Abstract

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. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences. 2024/02, Vol. 79, Issue 2, p133
  • Document Type:Article
  • Subject Area:Social Sciences and Humanities
  • Publication Date:2024
  • ISSN:0932-0784
  • DOI:10.1515/zna-2023-0242
  • Accession Number:175445342
  • Copyright Statement:Copyright of Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences is the property of De Gruyter and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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