J4 ›› 2015, Vol. 32 ›› Issue (5): 581-586.

• Quantum Optics • Previous Articles     Next Articles

Influence of quantum entanglement and quantum operation on superiority of the CHSH quantum game

Yao Jiaxiang, Gong Longyan   

  1. 1 Information Physics Research Center and Department of Applied Physics, Nanjing University of Posts and Telecommunications, Nanjing 210003, China; 
    2 College of Telecommunication & Information Engineering, Nanjing University of Posts and Telecommunications, Nanjing 210003, China
  • Received:2014-10-30 Revised:2014-12-30 Published:2015-09-28 Online:2015-09-28

Abstract:

Recently, quantum game has attracted more and more attention. Most of the studies focused on the advantages of quantum game in the case of the maximally entangled states and the certain quantum operations. In practice, the particles may not in the maximally entangled state and there are some quantum operation deviations. For this, the two factors are considered in CHSH game. It is found that when particles are in general entangled quantum states, the probability of winning for quantum strategy is not always greater than that for classical strategy , therefore suitable quantum operations should be chosen to satisfy . The maximum of the probability of winning for quantum strategy increases with the degree of entanglement of quantum states. For some angle regions that near the angle corresponding to , the P change slightly. All these studies provide theoretical guidance for quantum games.

Key words: quantum information, CHSH game, quantum strategy, quantum entanglement

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