量子博弈的类相变行为
Phase-transition-like Behavior of Quantum Games
摘要：
量子博弈的性质对它的纠缠的不连续依赖性已经被证明非常像在纠缠-回报图中看到的相变[J. Du et al.，，88，137902（2002）]。在本文中，我们研究了量子博弈的这种类似相变的行为，并提出了一种方法，这将有助于阐明这种行为的起源。对于广义囚徒困境的特殊情形，我们发现，对于支付表中数值的不同设置，即使经典博弈的行为相同，量子博弈也表现出不同的和有趣的类似相变的行为。
英文摘要：
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.
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