Zeta functions with respect to general coined quantum walk of periodic graphs
Combinatorics
2019-10-29 v1
Abstract
We define a zeta function of a graph by using the time evolution matrix of a general coined quantum walk on it, and give a determinant expression for the zeta function of a finite graph. Furthermore, we present a determinant expression for the zeta function of an (infinite) periodic graph.
Keywords
Cite
@article{arxiv.1910.12782,
title = {Zeta functions with respect to general coined quantum walk of periodic graphs},
author = {Takashi Komatsu and Norio Konno and Iwao Sato},
journal= {arXiv preprint arXiv:1910.12782},
year = {2019}
}
Comments
14 pages