Zeta Functions with Respect to General Coined Quantum Walk of Periodic Graphs

  • Takashi Komatsu
  • Norio Konno
  • Iwao Sato
DOI: https://doi.org/10.37236/9104

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 (inifinite) periodic graph. 

Published
2020-07-10
How to Cite
Komatsu, T., Konno, N., & Sato, I. (2020). Zeta Functions with Respect to General Coined Quantum Walk of Periodic Graphs. The Electronic Journal of Combinatorics, 27(3), P3.8. https://doi.org/10.37236/9104
Issue
Volume 27, Issue 3 (2020)
Article Number
P3.8