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Decoherence Effects on Multiplayer Cooperative Quantum Games

         

摘要

We study the behavior of cooperative multiplayer quantum games [Q.Chen,Y.Wang,J.T.Liu,and K.L.Wang,Phys.Lett.A 327 (2004) 98; A.P.Flitncy and L.C.L.Hollcnberg,Quantum Inf.Comput.7 (2007) 111] in thepresence of decoherence using different quantum channels such as amplitude damping,depolarizing and phase damping.It is seen that the outcomes of the games for the two damping channels with maximum values of decoherence reduce tosame value.However,in comparison to phase damping channel,the payoffs of cooperators are strongly damped underthe influence amplitude damping channel for the lower values of decoherence parameter.In the case of depolarizingchannel,the game is a no-payoff game irrespective of the degree of entanglement in the initial state for the larger valuesof decoherence parameter.The decoherence gets the cooperators worse off.

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