Study of entanglement via a multi-agent dynamical quantum game

Amit Te'Eni; Bar Y. Peled; Eliahu Cohen; Avishy Carmi

doi:10.1371/journal.pone.0280798

Study of entanglement via a multi-agent dynamical quantum game

Amit Te'Eni, Bar Y. Peled, Eliahu Cohen, Avishy Carmi

Ben-Gurion University of the Negev

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Article number	e0280798
Journal	PLoS ONE
Volume	18
Issue number	1 January
DOIs	https://doi.org/10.1371/journal.pone.0280798
State	Published - Jan 2023

Bibliographical note

Publisher Copyright:
Copyright: © 2023 Te'eni et al. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

Funding

This work was supported by grant No. FQXi-RFP-CPW-2006 from the Foundational Questions Institute and Fetzer Franklin Fund, a donor advised fund of Silicon Valley Community Foundation. E.C. acknowledges support from the Israeli Innovation Authority under projects 70002 and 73795, from the Quantum Science and Technology Program of the Israeli Council of Higher Education and from the Pazy Foundation.

Funders	Funder number
Fetzer Franklin Fund
Israeli Innovation Authority	70002, 73795
Quantum Science and Technology Program of the Israeli Council of Higher Education
Silicon Valley Community Foundation
Foundational Questions Institute
PAZY Foundation

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Cite this

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Study of entanglement via a multi-agent dynamical quantum game

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