Phase-transition-like Behavior of Quantum Games
Quantum Physics
2007-05-23 v4
Abstract
The discontinuous dependence of the properties of a quantum game on its entanglement has been shown up to be very much like phase transitions viewed in the entanglement-payoff diagram [J. Du et al., Phys. Rev. Lett, 88, 137902 (2002)]. In this paper we investigate such phase-transition-like behavior of quantum games, by suggesting a method which would help to illuminate the origin of such kind of behavior. For the particular case of the generalized Prisoners' Dilemma, we find that, for different settings of the numerical values in the payoff table, even though the classical game behaves the same, the quantum game exhibits different and interesting phase-transition-like behavior.
Cite
@article{arxiv.quant-ph/0111138,
title = {Phase-transition-like Behavior of Quantum Games},
author = {Jiangfeng Du and Hui Li and Xiaodong Xu and Xianyi Zhou and Rongdian Han},
journal= {arXiv preprint arXiv:quant-ph/0111138},
year = {2007}
}
Comments
revised version; to appear in J. Phys. A