Spectrum for a non-unitary one-dimensional two-state quantum walk with one defect
Mathematical Physics
2025-11-07 v1 math.MP
Abstract
Existence of the eigenvalues of the discrete-time quantum walks is deeply related to localization. Also, for the study of open quantum systems, non-Hermitian systems have attracted much attention. As mathematical models for such systems, non-unitary quantum walks with the chiral symmetry are essential for the study of the topological insulator. In this paper, we give the whole picture of the eigenvalues of a non-unitary one-dimensional two-state quantum walks with one defect and the chiral symmetry.
Cite
@article{arxiv.2511.04098,
title = {Spectrum for a non-unitary one-dimensional two-state quantum walk with one defect},
author = {Takako Endo and Yohei Matsumoto and Hiromichi Ohno and Akito Suzuki},
journal= {arXiv preprint arXiv:2511.04098},
year = {2025}
}
Comments
22 pages, one figure