189 citations · 1.9k across the 148 of their papers we have counts for
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Asymptotic analysis of the one-dimensional quantum walks by the Tsallis and Rényi entropies
Yusuke Ide, Norio Konno, Junji Shikata
The Tsallis and Rényi entropies are important quantities in the information theory, statistics and related fields because the Tsallis entropy is an one parameter generalization of…
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…
Quaternionic quantum walks
Norio Konno
The discrete-time quantum walk (QW) has been extensively and intensively investigated for the last decade, whose coin operator is defined by a unitary matrix. We extend the QW to a…
The non-uniform stationary measure for discrete-time quantum walks in one dimension
Norio Konno, Masato Takei
We consider stationary measures of the one-dimensional discrete-time quantum walks (QWs) with two chiralities, which is defined by a 2 times 2 unitary matrix U. In our previous pap…
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…
Spectral and asymptotic properties of Grover walks on crystal lattice
Yusuke Higuchi, Norio Konno, Iwao Sato +1
We propose a twisted Szegedy walk for estimating the limit behavior of a discrete-time quantum walk on a crystal lattice, an infinite abelian covering graph, whose notion was intro…