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Limit Theorems for the Fibonacci Quantum Walk

Mathematical Physics 2011-08-29 v1 math.MP Quantum Physics

Abstract

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.

Keywords

Cite

@article{arxiv.1108.5198,
  title  = {Limit Theorems for the Fibonacci Quantum Walk},
  author = {Clement Ampadu},
  journal= {arXiv preprint arXiv:1108.5198},
  year   = {2011}
}

Comments

Contains an extreme problem

R2 v1 2026-06-21T18:55:23.090Z