Constructing quantum games from a system of Bell's inequalities

Details Constructing quantum games from a system of Bell's inequalities Constructing quantum games from a system of Bell's inequalities

2009-09-18

arxiv.org/abs/0909.3369v7

Physics Letters A, Volume 374, Issues 31-32, pp 3155-3163 (2010)

Physics

Quantum Physics

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

Scientific paper

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.

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