Physics – Quantum Physics
Scientific paper
2011-02-24
Physics
Quantum Physics
17 pages, 7 eps figures, 1 table
Scientific paper
We study the effect of quantum memory in a four-player quantum Minority game. The Nash equilibrium payoff of the first player is investigated for different quantum memory channels. It is seen that different memory channels affect the game differently. It is also seen that the Nash equilibrium payoff is substantially enhanced in the presence of quantum memory. Therefore, memory controls the payoff reduction due to decoherence. It is shown that the curves for depolarizing and bit-phase flip channels overlap for maximum correlations. However, amplitude damping channel influences the game more heavily as compared to the other channels. That is the behaviour of amplitude damping channel is surprising one. Furthermore, the behaviour of phase flip channel is symmetrical arround 50% decoherence.
Khan Khalid M.
Ramzan Mehwish
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