Quantum Correlation Games

Details Quantum Correlation Games Quantum Correlation Games

2003-06-25

arxiv.org/abs/quant-ph/0306176v2

J. Phys. A 37 (2004) 5873

Physics

Quantum Physics

Revised version, 15 pages, 8 figures. To appear in Journal of Physics A: Mathematical and General

Scientific paper

10.1088/0305-4470/37/22/012

A new approach to play games quantum mechanically is proposed. We consider two players who perform measurements in an EPR-type setting. The payoff relations are defined as functions of *correlations*, i.e. without reference to classical or quantum mechanics. Classical bi-matrix games are reproduced if the input states are classical and perfectly anti-correlated, that is, for a classical correlation game. However, for a quantum correlation game, with an entangled singlet state as input, qualitatively different solutions are obtained. For example, the Prisoners' Dilemma acquires a Nash equilibrium if the players both apply a mixed strategy. It appears to be conceptually impossible to reproduce the properties of quantum correlation games within the framework of classical games.

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