Spectral analysis for a multi-dimensional split-step quantum walk with a defect
Mathematical Physics
2020-08-21 v1 math.MP
Abstract
This paper studies the spectrum of a multi-dimensional split-step quantum walk with a defect that cannot be analysed in the previous papers. To this end, we have developed a new technique which allow us to use a spectral mapping theorem for the one-defect model. We also derive the time-averaged limit measure for one-dimensional case as an application of the spectral analysis.
Cite
@article{arxiv.2008.08846,
title = {Spectral analysis for a multi-dimensional split-step quantum walk with a defect},
author = {Toru Fuda and Akihiro Narimatsu and Kei Saito and Akito Suzuki},
journal= {arXiv preprint arXiv:2008.08846},
year = {2020}
}
Comments
19 pages