Investigation of quantum roulette

Details Investigation of quantum roulette Investigation of quantum roulette

2008-07-20

arxiv.org/abs/0807.3142v3

International Journal of Quantum Information Vol. 7, No. 3 (2009) 615-626

Physics

Quantum Physics

17 page

Scientific paper

In this paper, by using permutation matrices as a representation of symmetric group $S_N$ and Fourier matrix, we investigate quantum roulette with an arbitrary $N$-state. This strategy, which we introduce, is general method that allows us to solve quantum game for an arbitrary $N$-state. We consider the interaction between the system and its environment and study the effect of the depolarizing channel on this strategy. Finally, as an example we employ this strategy for quantum roulette with N=3.

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