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arXiv:1910.12782 · The Electronic Journal of Combinatorics

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

Takashi Komatsu, Norio Konno, Iwao Sato

Published Jul 9, 2020• 1 citation
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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.
DOI
10.37236/9104

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