9 citations · 54 across the 26 of their papers we have counts for
5 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…
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…
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,…