Study of entanglement via a multi-agent dynamical quantum game

• Published in: PloS one Vol. 18; no. 1; p. e0280798
• Main Authors: Te'eni, Amit, Peled, Bar Y, Cohen, Eliahu, Carmi, Avishy
• Format: Journal Article
• Language: English
• Published: United States Public Library of Science 27-01-2023; Public Library of Science (PLoS)
• Subjects: Analysis; Animal behavior; Animals; Asymptotic properties; Atoms; Biology and Life Sciences; Dynamic tests; Ecology and Environmental Sciences; Ecosystem; Game Theory; Ligands; Methods; Multiagent systems; Observations; Physical Sciences; Population biology; Population Dynamics; Predation (Biology); Predators; Predatory Behavior; Prey; Quantum entanglement; Quantum mechanics; Quantum physics; Quantum Theory; Random variables; Realism; Social Sciences; Species extinction; Israel
• ISSN: 1932-6203; 1932-6203
• DOI: 10.1371/journal.pone.0280798

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.