  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 mimicking
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.
