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Study of entanglement via a multi-agent dynamical quantum game

Author

Listed:
  • Amit Te’eni
  • Bar Y Peled
  • Eliahu Cohen
  • Avishy Carmi

Abstract

At both conceptual and applied levels, quantum physics provides new opportunities as well as fundamental limitations. We hypothetically ask whether quantum games inspired by population dynamics can benefit from unique features of quantum mechanics such as entanglement and nonlocality. For doing so, we extend quantum game theory and demonstrate that in certain models inspired by ecological systems where several predators feed on the same prey, the strength of quantum entanglement between the various species has a profound effect on the asymptotic behavior of the system. For example, if there are sufficiently many predator species who are all equally correlated with their prey, they are all driven to extinction. Our results are derived in two ways: by analyzing the asymptotic dynamics of the system, and also by modeling the system as a quantum correlation network. The latter approach enables us to apply various tools from classical network theory in the above quantum scenarios. Several generalizations and applications are discussed.

Suggested Citation

  • Amit Te’eni & Bar Y Peled & Eliahu Cohen & Avishy Carmi, 2023. "Study of entanglement via a multi-agent dynamical quantum game," PLOS ONE, Public Library of Science, vol. 18(1), pages 1-18, January.
    • Handle: RePEc:plo:pone00:0280798
    DOI: 10.1371/journal.pone.0280798
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    References listed on IDEAS

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    1. repec:hhs:iuiwop:487 is not listed on IDEAS
    2. Jorgen W. Weibull, 1997. "Evolutionary Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262731215, December.
    3. repec:fth:iniesr:487 is not listed on IDEAS
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