Absence of wave operators for one-dimensional quantum walks
Mathematical Physics
2020-01-08 v1 math.MP
Abstract
We show that there exist pairs of two time evolution operators which do not have wave operators in a context of one-dimensional discrete time quantum walks. As a consequence, the borderline between short range type and long range type is decided.
Cite
@article{arxiv.1809.07597,
title = {Absence of wave operators for one-dimensional quantum walks},
author = {Kazuyuki Wada},
journal= {arXiv preprint arXiv:1809.07597},
year = {2020}
}
Comments
10pages