Phase Transitions in Quantum Games

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  • 31 October 2002
Abstract
The discontinuous dependence of the properties of a quantum game on its entanglement has been shown up as phase transitions [Phys. Rev. Lett, 88, 137902]. In this paper we explore this kind of phase transitions in quantum games and reveal the underlying physical foundations, using a method which is appropriate for the task here. For the generalized version of Prisoners' Dilemma, we find that, with different settings of the numerical values in the payoff table, even though the classical game behaves the same, the quantum game behaves greatly differently and exhibits novel features in view of phase transitions.

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