The effect of quantum memory on quantum games

Details The effect of quantum memory on quantum games The effect of quantum memory on quantum games

2008-07-16

arxiv.org/abs/0807.2501v4

J. Phys. A: Math. Theor. 41 (2008) 055307

Physics

Quantum Physics

26 pages, 7 ps figures

Scientific paper

10.1088/1751-8113/41/5/055307

We study quantum games with correlated noise through a generalized quantization scheme. We investigate the effects of memory on quantum games, such as Prisoner's Dilemma, Battle of the Sexes and Chicken, through three prototype quantum-correlated channels. It is shown that the quantum player enjoys an advantage over the classical player for all nine cases considered in this paper for the maximally entangled case. However, the quantum player can also outperform the classical player for subsequent cases that can be noted in the case of the Battle of the Sexes game. It can be seen that the Nash equilibria do not change for all the three games under the effect of memory.

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