arXiv:1707.04040

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

Hikari Kawai, Takashi KOMATSU, Norio Konno

Published Jul 13, 2017• 9 citations

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).

DOI: 10.48550/arxiv.1707.04040

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