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arXiv · 2510.12043

Spectral analysis of hierarchical continuous-time quantum walks

Jirô Akahori·Yusuke Ide·Tomoki Kato·Norio Konno·Shuhei Mano·Akihiro Narimatsu
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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.

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Jirô Akahori, Yusuke Ide, Tomoki Kato, Norio Konno, Shuhei Mano, Akihiro Narimatsu. 2025-10-14. Spectral analysis of hierarchical continuous-time quantum walks. https://arxiv.org/abs/2510.12043

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