Unitary equivalence classes of split-step quantum walks
Quantum Physics
2021-04-29 v1 Mathematical Physics
math.MP
Abstract
This study investigates the unitary equivalence of split-step quantum walks (SSQW). We consider a new class of quantum walks which includes all SSQWs. We show the explicit form of quantum walks in this class, and clarify their unitary equivalence classes. Unitary equivalence classes of Suzuki's SSQW are also given.
Cite
@article{arxiv.2104.13529,
title = {Unitary equivalence classes of split-step quantum walks},
author = {Akihiro Narimatsu and Hiromichi Ohno and Kazuyuki Wada},
journal= {arXiv preprint arXiv:2104.13529},
year = {2021}
}
Comments
18 pages