Spectral analysis of hierarchical continuous-time quantum walks
Quantum Physics
2025-10-15 v1
Abstract
In this paper, we introduce hierarchical random walks at first. In this model, we use two types of random walkers, {global and local} walkers. The global walker chooses a local walker at every step, then the chosen local walker moves a single step. After that we construct the corresponding continuous-time quantum walks and discuss its spectral structures. Then we define multi-dimensional continuous-time quantum walk by taking a marginal distribution respect to the global walker.
Keywords
Cite
@article{arxiv.2510.12043,
title = {Spectral analysis of hierarchical continuous-time quantum walks},
author = {Jirô Akahori and Yusuke Ide and Tomoki Kato and Norio Konno and Shuhei Mano and Akihiro Narimatsu},
journal= {arXiv preprint arXiv:2510.12043},
year = {2025}
}
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8 pages