Hypergroup structures of open quantum random walks on distance sets
Mathematical Physics
2020-09-22 v1 math.MP
Abstract
Wildberger has introduced the method to construct a hermitian discrete hypergroup from a random walk on a graph. We will apply his method to an open quantum random walk (OQRW) on a distance set, and show that any discrete hypergroup which is not necessary hermitian is realized by an OQRW on a distance set. We will investigate distributions of OQRWs on distance sets in the view point of hypergroups.
Cite
@article{arxiv.2009.09166,
title = {Hypergroup structures of open quantum random walks on distance sets},
author = {Yusuke Sawada},
journal= {arXiv preprint arXiv:2009.09166},
year = {2020}
}
Comments
20 pages, 3 figures