CTM/Zeta Correspondence
Quantum Physics
2022-03-17 v4 Mathematical Physics
Combinatorics
math.MP
Abstract
In our previous work, we investigated the relation between zeta functions and discrete-time models including random and quantum walks. In this paper, we introduce a zeta function for the continuous-time model (CTM) and consider CTMs including the corresponding random and quantum walks on the d-dimensional torus.
Keywords
Cite
@article{arxiv.2107.03590,
title = {CTM/Zeta Correspondence},
author = {Takashi Komatsu and Norio Konno and Iwao Sato},
journal= {arXiv preprint arXiv:2107.03590},
year = {2022}
}
Comments
9 pages, minor corrections, Quantum Studies: Mathematics and Foundations, Volume 9, pp.165-173 (2022)