Journal article

Equivalence between Bell inequalities and quantum minority games

Adrian P Flitney, Maximilian Schlosshauer, Christian Schmid, Wieslaw Laskowski, Lloyd CL Hollenberg

PHYSICS LETTERS A | ELSEVIER SCIENCE BV | Published : 2009

Abstract

We show that, for a continuous set of entangled four-partite states, the task of maximizing the payoff in the symmetric-strategy four-player quantum Minority game is equivalent to maximizing the violation of a four-particle Bell inequality. We conclude the existence of direct correspondences between (i) the payoff rule and Bell inequalities, and (ii) the strategy and the choice of measured observables in evaluating these Bell inequalities. We also show that such a correspondence is unique to minority-like games. © 2008 Elsevier B.V. All rights reserved.

University of Melbourne Researchers

Grants

Awarded by Australian Research Council (ARC)


Awarded by ARC Professorial Fellowship


Funding Acknowledgements

This project was supported by the Australian Research Council (ARC). A.P.F. and M.S. are recipients of ARC Postdoctoral Fellowships (project Nos. DP0559273 and DP0773169, respectively), and L.C.L.H. is the recipient of an ARC Professorial Fellowship (project No. DP0770715).