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Zeta functions of periodic graphs derived from quantum walk

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 نشر من قبل Iwao Sato
 تاريخ النشر 2021
  مجال البحث
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We define a zeta function of a finite graph derived from time evolution matrix of quantum walk, and give its determinant expression. Furthermore, we generalize the above result to a periodic graph.

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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 (infinite) periodic graph.
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