Study of entanglement via a multi-agent dynamical quantum game

TL;DR

This paper explores how quantum entanglement influences ecological-like predator-prey dynamics in quantum games, revealing that entanglement can lead to extinction or coexistence, with implications for quantum system modeling.

Contribution

It extends quantum game theory to ecological models and demonstrates how entanglement affects long-term system behavior using both dynamical analysis and quantum correlation networks.

Findings

High entanglement can cause predator extinction

Multiple predators with strong correlations tend to drive prey to extinction

Quantum network analysis offers new insights into ecological quantum systems

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 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.