Comment on: “Quantum cooperative games” [Phys. Lett. A 293 (2002) 103]

Fei Gao, Qiaoyan Wen, Fu-Chen Zhu

Jie Song, Shou Zhang

Ramón Alonso‐Sanz

S. J. van Enk

A Comment on the Letter by David A. Meyer, Phys. Rev. Lett. 82, 1052 (1999). The authors of the Letter offer a Reply.

Salman Khan, Muhammad Asif Ramzan, Majid Khan

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. Flitney and L.C.L. Hollenberg, Quantum Inf. Comput. 7 (2007) 111] in the presence 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 to same value. However, in comparison to phase damping channel, the payoffs of cooperators are strongly damped under the influence amplitude damping channel for the lower values of decoherence parameter. In the case of depolarizing channel, the game is a no-payoff game irrespective of the degree of entanglement in the initial state for the larger values of decoherence parameter. The decoherence gets the cooperators worse off.

Indranil Ghosh