Kawai, Hikari; Komatsu, Takashi; Konno, Norio Stationary measure for two-state space-inhomogeneous quantum walk in one dimension. (English) Zbl 1419.60064 Yokohama Math. J. 64, 111-130 (2018). Summary: 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 N. Konno and M. Takei [“The non-uniform stationary measure for discrete-time quantum walks in one dimension”, Quantum Inf. Comput. 15 1060–1075 (2015)]. Cited in 8 Documents MSC: 60K40 Other physical applications of random processes 81P68 Quantum computation Keywords:discrete-time quantum walk; stationary measure; periodicity PDFBibTeX XMLCite \textit{H. Kawai} et al., Yokohama Math. J. 64, 111--130 (2018; Zbl 1419.60064) Full Text: DOI arXiv