189 citations · 1.9k across the 148 of their papers we have counts for
8 papers · 1 filter
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…
A zeta function related to the transition matrix of the discrete-time quantum walk on a graph
Norio Konno, Iwao Sato, Etsuo Segawa
We present the structure theorem for the positive support of the cube of the Grover transition matrix of the discrete-time quantum walk (the Grover walk) on a general graph und…
Zeta functions with respect to general coined quantum walk of periodic graphs
Takashi Komatsu, Norio Konno, Iwao Sato
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…
Eigenvalues of two-state quantum walks induced by the Hadamard walk
Shimpei Endo, Takako Endo, Takashi Komatsu +1
Existence of the eigenvalues of the discrete-time quantum walks is deeply related to localization of the walks. We revealed the distributions of the eigenvalues given by the splitt…
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…
Stationary measure for three-state quantum walk
Takako Endo, Takashi Komatsu, Norio Konno +1
We focus on the three-state quantum walk(QW) in one dimension. In this paper, we give the stationary measure in general condition, originated from the eigenvalue problem. Firstly,…
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…