Weak limit theorem for a nonlinear quantum walk

Akito Suzuki; Etsuo Segawa; Hironobu Sasaki; Kanako Suzuki; Masaya Maeda

arxiv: 1801.06625 · v1 · pith:MF5L75CCnew · submitted 2018-01-20 · 🧮 math-ph · math.AP· math.MP

Weak limit theorem for a nonlinear quantum walk

Masaya Maeda , Hironobu Sasaki , Etsuo Segawa , Akito Suzuki , Kanako Suzuki This is my paper

classification 🧮 math-ph math.APmath.MP

keywords nonlinearquantumwalklimitdistributiontheoremweakarxiv

0 comments

read the original abstract

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 the nonlinear quantum walk. The proof is based on the scattering theory of the nonlinear quantum walk and the limit distribution is obtained in terms of its asymptotic state.

This paper has not been read by Pith yet.

Weak limit theorem for a nonlinear quantum walk

discussion (0)