A weak limit theorem for a class of long range type quantum walks in 1d
Mathematical Physics
2019-01-30 v1 math.MP
Abstract
We derive the weak limit theorem for a class of long range type quantum walks. To do it, we analyze spectral properties of a time evolution operator and prove that modified wave operators exist and are complete.
Cite
@article{arxiv.1901.10362,
title = {A weak limit theorem for a class of long range type quantum walks in 1d},
author = {Kazuyuki Wada},
journal= {arXiv preprint arXiv:1901.10362},
year = {2019}
}
Comments
12 pages