Quantum Matching Pennies Game

Details Quantum Matching Pennies Game Quantum Matching Pennies Game

2008-07-23

arxiv.org/abs/0807.3599v4

Journal of the Physical Society of Japan 78/1, 014803 (2009)

Physics

Quantum Physics

Revised in light of referees' comments, submitted to Journal of the Physical Society of Japan, 14 pages, 1 figure

Scientific paper

10.1143/JPSJ.78.014803

A quantum version of the Matching Pennies (MP) game is proposed that is played using an Einstein-Podolsky-Rosen-Bohm (EPR-Bohm) setting. We construct the quantum game without using the state vectors, while considering only the quantum mechanical joint probabilities relevant to the EPR-Bohm setting. We embed the classical game within the quantum game such that the classical MP game results when the quantum mechanical joint probabilities become factorizable. We report new Nash equilibria in the quantum MP game that emerge when the quantum mechanical joint probabilities maximally violate the Clauser-Horne-Shimony-Holt form of Bell's inequality.

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