12 citations · 40 across the 31 of their papers we have counts for
5 papers · 2 filters
Dynamical system induced by quantum walk
Yusuke Higuchi, Etsuo Segawa
We consider the Grover walk model on a connected finite graph with two infinite length tails and we set an -infinite external source from one of the tails as the initi…
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…
Dispersive estimates for quantum walks on 1D lattice
Masaya Maeda, Hironobu Sasaki, Etsuo Segawa +2
We consider quantum walks with position dependent coin on 1D lattice . The dispersive estimate is shown…
Scattering and inverse scattering for nonlinear quantum walks
Masaya Maeda, Hironobu Sasaki, Etsuo Segawa +2
We study large time behavior of quantum walks (QWs) with self-dependent (nonlinear) coin. In particular, we show scattering and derive the reproducing formula for inverse scatterin…
Weak limit theorem for a nonlinear quantum walk
Masaya Maeda, Hironobu Sasaki, Etsuo Segawa +2
This paper continues the study of large time behavior of a nonlinear quantum walk begun in arXiv:1801.03214. In this paper, we provide a weak limit theorem for the distribution of…