Classical and quantum multiplayer Colonel Blotto game in all-optical setup

Abstract

Recently, many works have investigated the prominence of quantum games in quantum information scenarios. In this work, we successfully present a theoretical and experimental study for a quantum version of the multiplayer Colonel Blotto game. We find that players with access to the quantum strategies have an advantage over the classical ones. The payoff is invariant under the order of the operator’s strategies. The experimental realization for three players used optical circuits exploring degrees of freedom of light. The quantum-classical analogy of degree of freedom of light and quantum states powered by optical coherence allowed us to experimentally capture the quantum behavior of theoretical predictions.