Linking quantum discord with Bayesian game theory

TL;DR

This paper links quantum discord detection with Bayesian game theory, showing how quantum correlations can be witnessed through game-theoretic payoffs, thus bridging quantum information and strategic decision frameworks.

Contribution

It introduces a novel connection between quantum discord witnessing and Bayesian game theory, extending the applicability of quantum correlation detection methods.

Findings

Quantum discord can be witnessed via a non-linear combination of correlation functions.

A mapping between quantum discord witness and Bayesian game theory is established.

The CHSH game is used to unify quantum discord detection with game-theoretic expected payoffs.

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.