Geodesic
Zeta functions with respect to general coined quantum walk of periodic graphs
Takashi Komatsu ; Norio Konno ; Iwao Sato1
1Oyama National College of Technology
The electronic journal of combinatorics, Tome 27 (2020) no. 3
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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
Classification : 11M41, 05C50, 05C25
Mots-clés : periodic graphs, coined quantum walk

Takashi Komatsu    ; Norio Konno    ; Iwao Sato  1

1 Oyama National College of Technology 
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     author = {Takashi Komatsu and Norio Konno and Iwao Sato},
     title = {Zeta functions with respect to general coined quantum walk of periodic graphs},
     journal = {The electronic journal of combinatorics},
     year = {2020},
     volume = {27},
     number = {3},
     doi = {10.37236/9104},
     zbl = {1469.11356},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/9104/}
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Takashi Komatsu; Norio Konno; Iwao Sato. Zeta functions with respect to general coined quantum walk of periodic graphs. The electronic journal of combinatorics, Tome 27 (2020) no. 3. doi: 10.37236/9104

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