Zeta functions with respect to general coined quantum walk of periodic graphs
Komatsu, Takashi, Norio Konno, Iwao Sato · arXiv (Cornell University) · 2019
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 (infinite) periodic graph.