Noisy-Syndrome Decoding of Hypergraph Product Codes
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866910216874885120 |
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| author | Gandikota, Venkata Grigorescu, Elena Jha, Vatsal Venkitesh, S. |
| author_facet | Gandikota, Venkata Grigorescu, Elena Jha, Vatsal Venkitesh, S. |
| contents | Hypergraph product codes are a prototypical family of quantum codes with state-of-the-art decodability properties. In this work we consider the "noisy" syndrome decoding problem and exact recovery problem for hypergraph product codes and show a reduction to the decoding and exact recovery of classical codes in the noisy syndrome setting. Our results hold for a broad class of codes admitting efficient syndrome decoding, including Sipser-Spielman codes and Reed-Solomon codes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_07602 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Noisy-Syndrome Decoding of Hypergraph Product Codes Gandikota, Venkata Grigorescu, Elena Jha, Vatsal Venkitesh, S. Quantum Physics Hypergraph product codes are a prototypical family of quantum codes with state-of-the-art decodability properties. In this work we consider the "noisy" syndrome decoding problem and exact recovery problem for hypergraph product codes and show a reduction to the decoding and exact recovery of classical codes in the noisy syndrome setting. Our results hold for a broad class of codes admitting efficient syndrome decoding, including Sipser-Spielman codes and Reed-Solomon codes. |
| title | Noisy-Syndrome Decoding of Hypergraph Product Codes |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2510.07602 |