Unitary equivalent classes of one-dimensional quantum walks
Mathematical Physics
2016-03-21 v1 math.MP
Quantum Physics
Abstract
This study investigates unitary equivalent classes of one-dimensional quantum walks. We prove that one-dimensional quantum walks are unitary equivalent to quantum walks of Ambainis type and that translation-invariant one-dimensional quantum walks are Szegedy walks. We also present a necessary and sufficient condition for a one-dimensional quantum walk to be a Szegedy walk.
Keywords
Cite
@article{arxiv.1603.05778,
title = {Unitary equivalent classes of one-dimensional quantum walks},
author = {Hiromichi Ohno},
journal= {arXiv preprint arXiv:1603.05778},
year = {2016}
}