Strong quantum state transfer on graphs via loop edges
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866916187954216960 |
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| author | Lippner, Gabor Shi, Yujia |
| author_facet | Lippner, Gabor Shi, Yujia |
| contents | We quantify the effect of weighted loops at the source and target nodes of a graph on the strength of quantum state transfer between these vertices. We give lower bounds on loop weights that guarantee strong transfer fidelity that works for any graph where this protocol is feasible. By considering local spectral symmetry, we show that the required weight size depends only on the maximum degree of the graph and, in some less favorable cases, the distance between vertices. Additionally, we explore the duration for which transfer strength remains above a specified threshold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_01173 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Strong quantum state transfer on graphs via loop edges Lippner, Gabor Shi, Yujia Quantum Physics Combinatorics 05C50, 81P45 We quantify the effect of weighted loops at the source and target nodes of a graph on the strength of quantum state transfer between these vertices. We give lower bounds on loop weights that guarantee strong transfer fidelity that works for any graph where this protocol is feasible. By considering local spectral symmetry, we show that the required weight size depends only on the maximum degree of the graph and, in some less favorable cases, the distance between vertices. Additionally, we explore the duration for which transfer strength remains above a specified threshold. |
| title | Strong quantum state transfer on graphs via loop edges |
| topic | Quantum Physics Combinatorics 05C50, 81P45 |
| url | https://arxiv.org/abs/2404.01173 |