Localization does not occur for the Fourier walk on the multi-dimensional lattice
Quantum Physics
2020-07-16 v1 Mathematical Physics
math.MP
Abstract
The existence of localization for the Grover walk on the multi-dimensional lattice is known. This paper gives some conditions for the existence of localization for the space-homogeneous quantum walks. We also prove that localization does not occur for the Fourier walk on the multi-dimensional lattice.
Cite
@article{arxiv.2007.07398,
title = {Localization does not occur for the Fourier walk on the multi-dimensional lattice},
author = {Akihiro Narimatsu},
journal= {arXiv preprint arXiv:2007.07398},
year = {2020}
}
Comments
7 pages