Spectral analysis of hierarchical continuous-time quantum walks
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arXiv
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| Auteurs principaux: | , , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912645896994816 |
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| author | Akahori, Jirô Ide, Yusuke Kato, Tomoki Konno, Norio Mano, Shuhei Narimatsu, Akihiro |
| author_facet | Akahori, Jirô Ide, Yusuke Kato, Tomoki Konno, Norio Mano, Shuhei Narimatsu, Akihiro |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_12043 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spectral analysis of hierarchical continuous-time quantum walks Akahori, Jirô Ide, Yusuke Kato, Tomoki Konno, Norio Mano, Shuhei Narimatsu, Akihiro Quantum Physics 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. |
| title | Spectral analysis of hierarchical continuous-time quantum walks |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2510.12043 |