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math-ph2014
A remark on zeta functions of finite graphs via quantum walks
Yu. Higuchi, N. Konno, I. Sato +1
From the viewpoint of quantum walks, the Ihara zeta function of a finite graph can be said to be closely related to its evolution matrix. In this note we introduce another kind of…
math.PR2014★ 4 cited
Spectral and asymptotic properties of Grover walks on crystal lattice
Yusuke Higuchi, Norio Konno, Iwao Sato +1
We propose a twisted Szegedy walk for estimating the limit behavior of a discrete-time quantum walk on a crystal lattice, an infinite abelian covering graph, whose notion was intro…