Limit Theorems for the Fibonacci Quantum Walk

Details Limit Theorems for the Fibonacci Quantum Walk Limit Theorems for the Fibonacci Quantum Walk

2011-08-25

arxiv.org/abs/1108.5198v1

Physics

Mathematical Physics

Contains an extreme problem

Scientific paper

We study the discrete-time quantum walk in one-dimension governed by the
Fibonacci transformation .We show localization does not occur for the Fibonacci
quantum walk by investigating the stationary distribution of the walk, in
addition, we obtain the weak limit theorem.

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