Structure Theorem for Quantum Replacer Codes
Fuente:
arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866915689023930368 |
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| author | Chitambar, Eric Hagen, Sarah Kribs, David W. Nelson, Mike I. Nemec, Andrew |
| author_facet | Chitambar, Eric Hagen, Sarah Kribs, David W. Nelson, Mike I. Nemec, Andrew |
| contents | Quantum replacer codes are codes that can be protected from errors induced by a given set of quantum replacer channels, an important class of quantum channels that includes the erasures of subsets of qubits that arise in quantum error correction. We prove a structure theorem for such codes that synthesizes a variety of special cases with earlier theoretical work in quantum error correction. We present several examples and applications of the theorem, including a mix of new observations and results together with some subclasses of codes revisited from this new perspective. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_06659 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Structure Theorem for Quantum Replacer Codes Chitambar, Eric Hagen, Sarah Kribs, David W. Nelson, Mike I. Nemec, Andrew Quantum Physics Mathematical Physics Quantum replacer codes are codes that can be protected from errors induced by a given set of quantum replacer channels, an important class of quantum channels that includes the erasures of subsets of qubits that arise in quantum error correction. We prove a structure theorem for such codes that synthesizes a variety of special cases with earlier theoretical work in quantum error correction. We present several examples and applications of the theorem, including a mix of new observations and results together with some subclasses of codes revisited from this new perspective. |
| title | Structure Theorem for Quantum Replacer Codes |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2505.06659 |