Linking quantum discord with Bayesian game theory

Witnessing quantum correlation in real, practical experimental setups is a key focus for the development of near-future quantum technologies. While 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 setup which allows the quantum discord to be witnessed through a nonlinear combination of correlation functions. Interestingly, the experimental setup can be mapped to Bayesian game theory allowing for an extended generalization 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.