189 citations · 1.9k across the 148 of their papers we have counts for
35 papers · 1 filter
Ronkin/Zeta Correspondence
Takashi Komatsu, Norio Konno, Iwao Sato +1
The Ronkin function was defined by Ronkin in the consideration of the zeros of almost periodic function. Recently, this function has been used in various research fields in mathema…
IPS/Zeta Correspondence for the Domany-Kinzel model
Chusei Kiumi, Norio Konno, Yuki Oshima
Previous studies presented zeta functions by the Konno-Sato theorem or the Fourier analysis for one-particle models, including random walks, correlated random walks, quantum walks,…
Return probability of quantum and correlated random walks
Chusei Kiumi, Norio Konno, Shunya Tamura
The analysis of the return probability is one of the most essential and fundamental topics in the study of classical random walks. In this paper, we study the return probability of…
Quantum walks driven by quantum coins with two multiple eigenvalues
Norio Konno, Iwao Sato, Etsuo Segawa +1
We consider a spectral analysis on the quantum walks on graph with the local coin operators and the flip flop shift. The quantum coin operators have co…
A discontinuity of the energy of quantum walk in impurities
Kenta Higuchi, Takashi Komatsu, Norio Konno +2
We consider the discrete-time quantum walk whose local dynamics is denoted by at the perturbed region and free at the other positions. We obtain the station…
Relation between quantum walks with tails and quantum walks with sinks on finite graphs
Norio Konno, Etsuo Segawa, Martin Štefaňák
We connect the Grover walk with sinks to the Grover walk with tails. The survival probability of the Grover walk with sinks in the long time limit is characterized by the centered…
Asymptotic properties of generalized eigenfunctions for multi-dimensional quantum walks
Takashi Komatsu, Norio Konno, Hisashi Morioka +1
We construct a distorted Fourier transformation associated with the multi-dimensional quantum walk. In order to avoid the complication of notations, almost all of our arguments are…
Generalized eigenfunctions for quantum walks via path counting approach
Takashi Komatsu, Norio Konno, Hisashi Morioka +1
We consider the time-independent scattering theory for time evolution operators of one-dimensional two-state quantum walks. The scattering matrix associated with the position-depen…
On the support of the Grover walk on higher-dimensional lattices
Norio Konno, Sarato Takahashi
This paper presents the minimum supports of states for stationary measures of the Grover walk on the d-dimensional lattice by solving the corresponding eigenvalue problem. The numb…
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,…
Central limit theorems for open quantum random walks on the crystal lattices
Chul Ki Ko, Norio Konno, Etsuo Segawa +1
We consider the open quantum random walks on the crystal lattices and investigate the central limit theorems for the walks. On the integer lattices the open quantum random walks sa…
Phase measurement of quantum walks: application to structure theorem of the positive support of the Grover walk
Norio Konno, Iwao Sato, Etsuo Segawa
We obtain a structure theorem of the positive support of the -th power of the Grover walk on -regular graph whose girth is greater than . This structure theorem is pr…
Partition-based discrete-time quantum walks
Norio Konno, Renato Portugal, Iwao Sato +1
We introduce a family of discrete-time quantum walks, called two-partition model, based on two equivalence-class partitions of the computational basis, which establish the notion o…
Quaternionic quantum walks of Szegedy type and zeta functions of graphs
Norio Konno, Kaname Matsue, Hideo Mitsuhashi +1
We define a quaternionic extension of the Szegedy walk on a graph and study its right spectral properties. The condition for the transition matrix of the quaternionic Szegedy walk…
The spectra of the unitary marix of a 2-tessellable staggered quantum walk on a graph
Norio Konno, Iwao Sato, Etsuo Segawa
Recently, the staggered quantum walk (SQW) on a graph is discussed as a generalization of coined quantum walks on graphs and Szegedy walks. We present a formula for the time evolut…
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…
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…
The discrete-time quaternionic quantum walk on a graph
Norio Konno, Hideo Mitsuhashi, Iwao Sato
Recently, the quaternionic quantum walk was formulated by the first author as a generalization of discrete-time quantum walks. We treat the right eigenvalue problem of quaternionic…
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…