11 citations · 32 across the 17 of their papers we have counts for
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math-ph2021★ 1 cited
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…
math-ph2021★ 4 cited
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…
math-ph2021★ 3 cited
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…