Weak limit theorem for a nonlinear quantum walk
Mathematical Physics
2018-01-23 v1 Analysis of PDEs
math.MP
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.
Keywords
Cite
@article{arxiv.1801.06625,
title = {Weak limit theorem for a nonlinear quantum walk},
author = {Masaya Maeda and Hironobu Sasaki and Etsuo Segawa and Akito Suzuki and Kanako Suzuki},
journal= {arXiv preprint arXiv:1801.06625},
year = {2018}
}
Comments
8 pages, text overlap with arXiv:1711.00620