The effect of quantum noise on the restricted quantum game

• 来源期刊: 中国物理（英文版）
• 关键词: entanglement quantum game quantum noise Nash equilibria
• 年，卷（期）: 2006,（1）
• 页码范围: 60-65
• 页数: 6页
• 语种: 英文

摘要

It has recently been established that quantum strategies have great advantage over classical ones in quantum games. However, quantum states are easily affected by the quantum noise resulting in decoherence. In this paper, we investigate the effect of quantum noise on the restricted quantum game in which one player is restricted in classical strategic space, another in quantum strategic space and only the quantum player is affected by the quantum noise. Our results show that in the maximally entangled state, no Nash equilibria exist in the range of 0＜ p≤0.422 (p is the quantum noise parameter), while two special Nash equilibria appear in the range of 0.422 ＜ p＜ 1. The advantage that the quantum player diminished only in the limit of maximum quantum noise. Increasing the amount of quantum noise leads to the increase of the classical player's payoff and the reduction of the quantum player's payoff, but is helpful in forming two Nash equilibria.