Quaternionic quantum walks
Quantum Physics
2015-05-05 v2 Mathematical Physics
math.MP
Probability
Abstract
The discrete-time quantum walk (QW) has been extensively and intensively investigated for the last decade, whose coin operator is defined by a unitary matrix. We extend the QW to a walk determined by a unitary matrix whose component is quaternion. We call this model quaternionic quantum walk (QQW) and present some properties. This paper is the first step for the study on QQWs.
Keywords
Cite
@article{arxiv.1412.3264,
title = {Quaternionic quantum walks},
author = {Norio Konno},
journal= {arXiv preprint arXiv:1412.3264},
year = {2015}
}
Comments
15 pages, title changed, revised version