4 citations · 19 across the 10 of their papers we have counts for
5 papers · 1 filter
Continuous limits of linear and nonlinear quantum walks
Masaya Maeda, Akito Suzuki
In this paper, we consider the continuous limit of a nonlinear quantum walk (NLQW) that incorporates a linear quantum walk as a special case. In particular, we rigorously prove tha…
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…
On nonlinear scattering for quantum walks
Masaya Maeda, Hironobu Sasaki, Etsuo Segawa +2
We study large time behavior of quantum walks (QW) with self-dependent coin. In particular, we show scattering and derive the reproducing formula for inverse scattering in the weak…