The absolute zeta function with respect to a bipartite walk on a bipartite graph

Quantum Studies Mathematics and Foundations 2026 Open access

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Authors: Jirô Akahori, Norio Konno, Iwao Sato, Y. Tamura, Xinmiao Zhang
DOI: 10.1007/s40509-026-00385-y
Cited by: 0
References: 24

Abstract

Abstract We consider the zeta function associated with the time evolution matrix of a bipartite walk on a bipartite graph and derive a formula for its absolute zeta function. Furthermore, we give formulas for the absolute zeta functions of the zeta functions of the time evolution matrices of bipartite walks on the complete bipartite graph and an even cycle graph. As an application, we obtain formulas for the absolute zeta functions of the zeta functions of the Grover matrices of the complete bipartite graph and an even cycle graph.

Fields of Study & Subjects

Graph theory and applications Quantum Computing Algorithms and Architecture Analytic Number Theory Research

Publication details

Journal / source
Quantum Studies Mathematics and Foundations
Volume
13
Issue
1
Publication date
4 March 2026
Language
EN