Quantum locally recoverable code with intersecting recovery sets
Fuente:
arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866912192652115968 |
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| author | Bu, Kaifeng Gu, Weichen Li, Xiang |
| author_facet | Bu, Kaifeng Gu, Weichen Li, Xiang |
| contents | We introduce the concept of quantum locally recoverable codes (qLRCs) with intersecting recovery sets. We derive a singleton-like bound for these codes by leveraging the additional information provided by the intersecting recovery sets. Furthermore, we provide a construction for qLRCs with intersecting recovery sets by introducing a variation of the hypergraph product. Finally, we apply our qLRC methods to obtain improved results for classical LRCs. These results may provide new insights into the locality of quantum error correction code. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_10354 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quantum locally recoverable code with intersecting recovery sets Bu, Kaifeng Gu, Weichen Li, Xiang Quantum Physics We introduce the concept of quantum locally recoverable codes (qLRCs) with intersecting recovery sets. We derive a singleton-like bound for these codes by leveraging the additional information provided by the intersecting recovery sets. Furthermore, we provide a construction for qLRCs with intersecting recovery sets by introducing a variation of the hypergraph product. Finally, we apply our qLRC methods to obtain improved results for classical LRCs. These results may provide new insights into the locality of quantum error correction code. |
| title | Quantum locally recoverable code with intersecting recovery sets |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2501.10354 |