https://doi.org/10.1140/epjp/s13360-024-05238-4
Regular Article
Quantum games under Markovian and non-Markovian quantum noise regime and the nature of phase transitions
1
Department of Mathematics, PES University, 560085, Bangalore, India
2
Department of Physics, PES University, 560085, Bangalore, India
b
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Received:
25
January
2024
Accepted:
4
May
2024
Published online:
23
May
2024
The effect of the Markovian and non-Markovian quantum noise in the dynamics of quantum games is reported in this paper. The Kraus operators pertaining to the functions of time representing the Markovian and Non-Markovian models are used in the EWL protocol. Random Telegraphic Noise, Modified Ornstein–Uhlenbeck Noise and Power Law Noise models are introduced before and after application of the strategies by players in the quantum circuit. The payoffs of the players are analyzed and compared in each of the regimes coupled with the analysis of phase transitions as the entanglement parameter is varied. The behavior of the time transition thresholds at which the Nash equilibria abruptly change is studied in detail.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
