Impure codes exceeding the pure bounds for quantum local recovery
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866914445511360512 |
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| author | Galindo, Carlos Hernando, Fernando Martín-Cruz, Helena Matsumoto, Ryutaroh |
| author_facet | Galindo, Carlos Hernando, Fernando Martín-Cruz, Helena Matsumoto, Ryutaroh |
| contents | Literature provides several bounds for quantum local recovery, which essentially consider the number of message qudits, the distance, the length, and the locality of the involved codes. We give a family of $J$-affine variety codes that result in impure CSS codes. These quantum codes exceed several of the above mentioned bounds that apply to pure quantum locally recoverable codes. We also discuss a connection between bounds on quantum local recovery and on weight-constrained stabilizer codes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_03569 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Impure codes exceeding the pure bounds for quantum local recovery Galindo, Carlos Hernando, Fernando Martín-Cruz, Helena Matsumoto, Ryutaroh Information Theory Quantum Physics 81P73, 94B65, 14G50, 94B27 Literature provides several bounds for quantum local recovery, which essentially consider the number of message qudits, the distance, the length, and the locality of the involved codes. We give a family of $J$-affine variety codes that result in impure CSS codes. These quantum codes exceed several of the above mentioned bounds that apply to pure quantum locally recoverable codes. We also discuss a connection between bounds on quantum local recovery and on weight-constrained stabilizer codes. |
| title | Impure codes exceeding the pure bounds for quantum local recovery |
| topic | Information Theory Quantum Physics 81P73, 94B65, 14G50, 94B27 |
| url | https://arxiv.org/abs/2604.03569 |