Walk/Zeta Correspondence
Quantum Physics
2022-12-22 v4 Mathematical Physics
Combinatorics
math.MP
Probability
Abstract
Our previous work presented explicit formulas for the generalized zeta function and the generalized Ihara zeta function corresponding to the Grover walk and the positive-support version of the Grover walk on the regular graph via the Konno-Sato theorem, respectively. This paper extends these walks to a class of walks including random walks, correlated random walks, quantum walks, and open quantum random walks on the torus by the Fourier analysis.
Cite
@article{arxiv.2104.10287,
title = {Walk/Zeta Correspondence},
author = {Takashi Komatsu and Norio Konno and Iwao Sato},
journal= {arXiv preprint arXiv:2104.10287},
year = {2022}
}
Comments
31 pages