Normal variance mixture with arcsine law of an interpolating walk between persistent random walk and quantum walk
Quantum Physics
2025-03-06 v1
Abstract
We propose a model that interpolates between quantum walks and persistent (correlated) random walks using one parameter on the one-dimensional lattice. We show that the limit distribution is described by the normal variance mixture with the arcsine law.
Cite
@article{arxiv.2503.03021,
title = {Normal variance mixture with arcsine law of an interpolating walk between persistent random walk and quantum walk},
author = {Saori Yoshino and Honoka Shiratori and Tomoki Yamagami and Ryoichi Horisaki and Etsuo Segawa},
journal= {arXiv preprint arXiv:2503.03021},
year = {2025}
}
Comments
19 pages, 10 figures