Playing Quantum Games with Disentanglement-Free State

Abstract

We use a kind of disentanglement-free state to serve as the initial state shared by players and referee in quantum games. It is found that when two players choose some strategies the payoffs of the quantum games will not be affected by the external single-mode vacuum field and the various interactions present in the process. Furthermore, we show that for some games our scheme can be used to remove the dilemma in its corresponding classical game even with the presence of noises; meanwhile, one can find the solution to those games without disturbing the players’ payoffs.