Stationary measure for two-state space-inhomogeneous quantum walk in one dimension
Quantum Physics
2018-08-24 v2
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).
Keywords
Cite
@article{arxiv.1707.04040,
title = {Stationary measure for two-state space-inhomogeneous quantum walk in one dimension},
author = {Hikari Kawai and Takashi Komatsu and Norio Konno},
journal= {arXiv preprint arXiv:1707.04040},
year = {2018}
}
Comments
15 pages, revised version, Yokohama Mathematical Journal (in press)