English

Constructing quantum games from a system of Bell's inequalities

Quantum Physics 2015-05-14 v7

Abstract

We report constructing quantum games directly from a system of Bell's inequalities using Arthur Fine's analysis published in early 1980s. This analysis showed that such a system of inequalities forms a set of both necessary and sufficient conditions required to find a joint distribution function compatible with a given set of joint probabilities, in terms of which the system of Bell's inequalities is usually expressed. Using the setting of a quantum correlation experiment for playing a quantum game, and considering the examples of Prisoners' Dilemma and Matching Pennies, we argue that this approach towards constructing quantum games addresses some of their well known criticisms.

Keywords

Cite

@article{arxiv.0909.3369,
  title  = {Constructing quantum games from a system of Bell's inequalities},
  author = {Azhar Iqbal and Derek Abbott},
  journal= {arXiv preprint arXiv:0909.3369},
  year   = {2015}
}

Comments

17 pages, no figure, revised in light of referees' comments, accepted for publication in Physics Letters A

R2 v1 2026-06-21T13:47:50.627Z