Stationary measure for two-state space-inhomogeneous quantum walk in one dimension

2017/07/13 by Hikari Kawai, Kawai, Hikari, Takashi Komatsu +3
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Physics (quant-ph) #Quantum and electron transport phenomena #Quantum-Dot Cellular Automata

paper · pdf · doi:10.48550/arxiv.1707.04040

openalex publication_date 2017/07/13 · openalex created_date 2017/07/21 · openalex updated_date 2026/07/28

Abstract

We consider the two-state space-inhomogeneous coined quantum walk (QW) in one dimension. For a general setting, we obtain the stationary measure of the QW by solving the eigenvalue problem. As a corollary, stationary measures of the multi-defect model and space-homogeneous QW are derived. The former is a generalization of the previous works on one-defect model and the latter is a generalization of the result given by Konno and Takei (2015).

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