Constructions and decoding procedures for quantum CSS codes
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866918152715108352 |
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| author | Saouter, Yannick Zenia, Massinissa Burel, Gilles |
| author_facet | Saouter, Yannick Zenia, Massinissa Burel, Gilles |
| contents | This article presents new constructions of quantum error correcting Calderbank-Shor-Steane (CSS for short) codes. These codes are mainly obtained by Sloane's classical combinations of linear codes applied here to the case of self-orthogonal linear codes. A new algebraic decoding technique is also introduced. This technique is exemplified on CSS codes obtained from BCH, Reed-Muller and projective geometry codes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_03242 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Constructions and decoding procedures for quantum CSS codes Saouter, Yannick Zenia, Massinissa Burel, Gilles Quantum Physics This article presents new constructions of quantum error correcting Calderbank-Shor-Steane (CSS for short) codes. These codes are mainly obtained by Sloane's classical combinations of linear codes applied here to the case of self-orthogonal linear codes. A new algebraic decoding technique is also introduced. This technique is exemplified on CSS codes obtained from BCH, Reed-Muller and projective geometry codes. |
| title | Constructions and decoding procedures for quantum CSS codes |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2502.03242 |