Limit Theorems for the Fibonacci Quantum Walk

2011/08/25 by Clement Boateng Ampadu, Clement Ampadu, Ampadu, Clement · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #81T25 #FOS: Physical sciences #Machine Learning and Algorithms #Mathematical Physics (math-ph) #Quantum Computing Algorithms and Architecture #Quantum Physics (quant-ph) #Quantum-Dot Cellular Automata #math-ph #math.MP #msc:81T25 #quant-ph

paper · pdf · doi:10.48550/arxiv.1108.5198

Contains an extreme problem

arxiv created 2011/08/25 · openalex publication_date 2011/08/25 · arxiv updated 2011/08/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Quantum random walks and thermalisation

Cited by

• Limit Theorems for Quantum Walks on the Union of Planes

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