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At both conceptual and applied levels, quantum physics provides newopportunities as well as fundamental limitations. We hypothetically ask whetherquantum games inspired by population dynamics can benefit from unique featuresof quantum mechanics such as entanglement and nonlocality. For doing so weextend quantum game theory and demonstrate that in certain models mimickingecological systems where several predators feed on the same prey, the strengthof quantum entanglement between the various species has a profound effect onthe asymptotic behavior of the system. For example, if there are sufficientlymany predator species who are all equally correlated with their prey, they areall driven to extinction. Our results are derived in two ways: by analyzing theasymptotic dynamics of the system, and also by modeling the system as a quantumcorrelation network. The latter approach enables us to apply various tools fromclassical network theory in the above quantum scenarios. Severalgeneralizations and applications are discussed.

Study of entanglement via a multi-agent dynamical quantum game