Multiplayer quantum Minority game with decoherence

Details Multiplayer quantum Minority game with decoherence Multiplayer quantum Minority game with decoherence

2005-10-14

arxiv.org/abs/quant-ph/0510108v2

Quant. Inform. Comput. 7 (2007) 111-126

Physics

Quantum Physics

16 pages, 8 figures; v2 Important reference added with associated minor changes in the text (inlcuding abstract)

Scientific paper

10.1117/12.609363

A quantum version of the Minority game for an arbitrary number of agents is considered. It is known that when the number of agents is odd, quantizing the game produces no advantage to the players, but for an even number of agents new Nash equilibria appear that have no classical analogue and have improved payoffs. We study the effect on the Nash equilibrium payoff of various forms of decoherence. As the number of players increases the multipartite GHZ state becomes increasingly fragile, as indicated by the smaller error probability required to reduce the Nash equilibrium payoff to the classical level.

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