189 citations · 1.9k across the 148 of their papers we have counts for
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Explicit expression of scattering operator of some quantum walks on impurities
Takashi Komatsu, Norio Konno, Hisashi Morioka +1
In this paper, we consider the scattering theory for a one-dimensional quantum walk with impurities which make reflections and transmissions. We focus on an explicit expression of…
Periodicity for the 3-state quantum walk on cycles
Takeshi Kajiwara, Norio Konno, Shohei Koyama +1
Dukes (2014) and Konno, Shimizu, and Takei (2017) studied the periodicity for 2-state quantum walks whose coin operator is the Hadamard matrix on cycle graph C_N with N vertices. T…
Stationary measure induced by the eigenvalue problem of the one-dimensional Hadamard walk
Takashi Komatsu, Norio Konno
In this paper, we consider the stationary measure of the Hadamard walk on the one-dimensional integer lattice. Here all the stationary measures given by solving the eigenvalue prob…
Eigenvalues of quantum walk induced by recurrence properties of the underlying birth and death process: application to computation of an edge state
Yusuke Ide, Norio Konno, Etsuo Segawa
In this paper, we consider an extended coined Szegedy model and discuss the existence of the point spectrum of induced quantum walks in terms of recurrence properties of the underl…