Zeta functions of periodic graphs derived from quantum walk
Combinatorics
2021-05-06 v1
Abstract
We define a zeta function of a finite graph derived from time evolution matrix of quantum walk, and give its determinant expression. Furthermore, we generalize the above result to a periodic graph.
Cite
@article{arxiv.2102.09486,
title = {Zeta functions of periodic graphs derived from quantum walk},
author = {Takashi Komatsu and Norio Konno and Iwao Sato},
journal= {arXiv preprint arXiv:2102.09486},
year = {2021}
}
Comments
16 pages. arXiv admin note: substantial text overlap with arXiv:1910.12782