25 citations · 84 across the 13 of their papers we have counts for
13 papers
Spectrum for a non-unitary one-dimensional two-state quantum walk with one defect
Takako Endo, Yohei Matsumoto, Hiromichi Ohno +1
Existence of the eigenvalues of the discrete-time quantum walks is deeply related to localization. Also, for the study of open quantum systems, non-Hermitian systems have attracted…
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 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,…
Sensitivity of quantum walks to boundary of two-dimensional lattices: approaches from the CGMV method and topological phases
Takako Endo, Norio Konno, Hideaki Obuse +1
In this paper, we treat quantum walks in a two-dimensional lattice with cutting edges along a straight boundary introduced by Asboth and Edge (2015 Phys.Rev. A 91 022324) in order…
Stationary measures for the three-state Grover walk with one defect in one dimension
Takako Endo, Hikari Kawai, Norio Konno
We obtain stationary measures for the one-dimensional three-state Grover walk with one defect by solving the corresponding eigenvalue problem. We clarify a relation between station…
The stationary measure for diagonal quantum walk with one defect
Takako Endo, Hikari Kawai, Norio Konno
This study is motivated by the previous work [14]. We treat 3 types of the one-dimensional quantum walks (QWs), whose time evolutions are described by diagonal unitary matrix, and…
Relation between two-phase quantum walks and the topological invariant
Takako Endo, Norio Konno, Hideaki Obuse
We study a position-dependent discrete-time quantum walk (QW) in one dimension, whose time-evolution operator is built up from two coin operators which are distinguished by phase f…
Weak convergence of the Wojcik model
Takako Endo, Norio Konno
We study "the Wojcik model" which is a discrete-time quantum walk (QW) with one defect in one dimension, introduced by Wojcik et al.. For the Wojcik model, we give the weak converg…
Weak limit theorem of a two-phase quantum walk with one defect
Shimpei Endo, Takako Endo, Norio Konno +2
We attempt to analyze a one-dimensional space-inhomogeneous quantum walk (QW) with one defect at the origin, which has two different quantum coins in positive and negative parts. W…
Limit theorems of a two-phase quantum walk with one defect
Shimpei Endo, Takako Endo, Norio Konno +2
We treat a position dependent quantum walk (QW) on the line which we assign two different time-evolution operators to positive and negative parts respectively. We call the model "t…
A one-dimensional Hadamard walk with one defect
Takako Endo, Norio Konno, Etsuo Segawa +1
We consider a one-dimensional space-inhomogeneous discrete time quantum walk. This model is the Hadamard walk with one defect at the origin which is different from the model introd…
The time-averaged limit measure of the Wojcik model
Takako Endo, Norio Konno
We investigate "the Wojcik model" introduced and studied by Wojcik et al., which is a one-defect quantum walk (QW) having a single phase at the origin. They reported that giving a…
The stationary measure of a space-inhomogeneous quantum walk on the line
Takako Endo, Norio Konno
We study a discrete-time quantum walk (QW) on the line with a single phase at the origin which was introduced and studied by Wojcik et al.[1]. We call the model "Wojcik model" here…