11 citations · 32 across the 17 of their papers we have counts for
8 papers · 1 filter
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,…
Spectral Analysis of Non-unitary Two-phase Quantum Walks in One Dimension
Chusei Kiumi, Kei Saito, Yohei Tanaka
It is recently shown by Asahara-Funakawa-Seki-Tanaka that existing index theory for chirally symmetric (discrete-time) quantum walks can be extended to the setting of non-unitary q…
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…
Localization in quantum walks with periodically arranged coin matrices
Chusei Kiumi
There is a property called localization, which is essential for applications of quantum walks. From a mathematical point of view, the occurrence of localization is known to be equi…
Localization of space-inhomogeneous three-state quantum walks
Chusei Kiumi
Mathematical analysis on the existence of eigenvalues is essential because it is equivalent to the occurrence of localization, which is an exceptionally crucial property of quantum…
Strongly trapped space-inhomogeneous quantum walks in one dimension
Chusei Kiumi, Kei Saito
Localization is a characteristic phenomenon of space-inhomogeneous quantum walks in one dimension, where particles remain localized around their initial position. The existence of…
A new type of quantum walks based on decomposing quantum states
Chusei Kiumi
In this paper, the 2-state decomposed-type quantum walk (DQW) on a line is introduced as an extension of the 2-state quantum walk (QW). The time evolution of the DQW is defined wit…
Eigenvalues of two-phase quantum walks with one defect in one dimension
Chusei Kiumi, Kei Saito
We study space-inhomogeneous quantum walks (QWs) on the integer lattice which we assign three different coin matrices to the positive part, the negative part, and the origin, respe…