Noisy non-transitive quantum games

Details Noisy non-transitive quantum games Noisy non-transitive quantum games

2009-12-25

arxiv.org/abs/0912.4961v1

J. Phys. A: Math. Theor. 43, 265304 (2010)

Physics

Quantum Physics

18 pages, 6 .eps figures, 1 .eps table

Scientific paper

10.1088/1751-8113/43/26/265304

We study the effect of quantum noise in 3 by 3 entangled quantum games. By considering different noisy quantum channels we analyze that how a two-player, three-strategy Rock-Scissor-Paper game is influenced by the quantum noise. We consider the winning non-transitive strategies R, S and P such as R beats S, S beats P, and P beats R. The game behaves as a noiseless game for maximum value of the quantum noise parameter. It is seen that Alice's payoff is heavily influenced by the depolarizing noise as compared to the amplitude damping noise. Depolarizing channel causes a monotonic decrease in players payoffs as we increase the amount of of quantum noise. In case of amplitude damping channel, the Alice's payoff function reaches its minimum for alpha=0.5 and is symmetrical. This means that larger values of quantum noise influence the game weakly. On the other hand, phase damping channel does not influence the game's payoff. Furthermore, the game's Nash equilibrium and non-transitive character of the game are not affected under the influence of quantum noise.

Affiliated with

Also associated with

No associations

Rating

Noisy non-transitive quantum games does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Noisy non-transitive quantum games, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Noisy non-transitive quantum games will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-269729