Linking quantum discord with Bayesian game theory

Abstract

Witnessing quantum correlation in real, practical experimental set-ups is a key focus for the development of near-future quantum technologies. Whilst there are several experimental protocols for witnessing entanglement, detecting quantum discord remains far more elusive. A recently proposed quantum discord witness offers an experimentally accessible set-up which allows the quantum discord to be witnessed through a non-linear combination of correlation functions. Interestingly, the experimental set-up can be mapped to Bayesian game theory allowing for an extended generalisation of the proposed witness. Subsequently, it is shown that there is a direct link between the expected payoff in Bayesian game theory and the previously proposed quantum discord witness by uniting these two concepts through the established CHSH game.