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Quantum Chinos game: winning strategies through quantum fluctuations

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Published 19 March 2003 Published under licence by IOP Publishing Ltd
, , Citation F Guinea and M A Martín-Delgado 2003 J. Phys. A: Math. Gen. 36 L197 DOI 10.1088/0305-4470/36/13/104

0305-4470/36/13/L197

Abstract

We apply several quantization schemes to simple versions of the Chinos game. Classically, for two players with one coin each, there is a symmetric stable strategy that allows each player to win half of the times on average. A partial quantization of the game (semiclassical) allows us to find a winning strategy for the second player, but it is unstable w.r.t. the classical strategy. However, in a fully quantum version of the game we find a winning strategy for the first player that is optimal: the symmetric classical situation is broken at the quantum level.

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10.1088/0305-4470/36/13/104