Entanglement Correlated Phase Changes in Quantum Games

Preprint
Publisher Website
Google Scholar
  • 26 November 2001
Abstract
In one of our previous works we investigated the correlation between a quantum game and its entanglement. For the particular case of the Prisoners' Dilemma, the result shows that the game's property depends discontinuously on the amount of the entanglement. This discontinuity can be considered as phase changes with respect to the varying of the game's entanglement. In this paper, we reveal the correlation between the phase changes and the numerical values in the payoff matrix of the game. We find that if these numerical values satisfy some certain condition, the phase in which the game has two asymmetric Nash equilibria will disappear. Furthermore, the phase changes exhibits interesting variation with respect to the numerical values in the payoff matrix.

This publication has 0 references indexed in Scilit: