Exponential decay property for eigenfunctions of quantum walks
Mathematical Physics
2024-05-24 v2 math.MP
Abstract
Under an abstract setting, we show that eigenvectors belong to discrete spectra of unitary operators have exponential decay properties. We apply the main theorem to multi-dimensional quantum walks and show that eigenfunctions belong to a discrete spectrum decay exponentially at infinity.
Keywords
Cite
@article{arxiv.2403.04214,
title = {Exponential decay property for eigenfunctions of quantum walks},
author = {Kazuyuki Wada},
journal= {arXiv preprint arXiv:2403.04214},
year = {2024}
}
Comments
13pages, Some minor inaccuracies and typos are corrected