189 citations · 1.9k across the 148 of their papers we have counts for
7 papers · 2 filters
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…
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…
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…
Analytical solutions for quantum walks on 1D chain with different shift operators
Xin-Ping Xu, Xiao-Kun Zhang, Yusuke Ide +1
In this paper, we study the discrete-time quantum walks on 1D Chain with the moving and swapping shift operators. We derive analytical solutions for the eigenvalues and eigenstates…