EAQEC codes from s-Galois hulls decomposition of linear codes
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911993378635776 |
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| author | Li, Hui Liu, Xiusheng |
| author_facet | Li, Hui Liu, Xiusheng |
| contents | Entanglement-assisted quantum error-correcting (EAQEC) codes are a subclass of quantum error-correcting codes which use entanglement as a resource. These codes can provide error correction capability higher than the codes derived from the traditional stabilizer formalism. In this paper, we first give a s-Galois hulls decomposition of linear codes over finite fields. By means of this decomposition, we provide a method to construct EAQEC codes. Using this method, we construct new EAQEC codes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_09334 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | EAQEC codes from s-Galois hulls decomposition of linear codes Li, Hui Liu, Xiusheng Rings and Algebras Quantum Algebra Entanglement-assisted quantum error-correcting (EAQEC) codes are a subclass of quantum error-correcting codes which use entanglement as a resource. These codes can provide error correction capability higher than the codes derived from the traditional stabilizer formalism. In this paper, we first give a s-Galois hulls decomposition of linear codes over finite fields. By means of this decomposition, we provide a method to construct EAQEC codes. Using this method, we construct new EAQEC codes. |
| title | EAQEC codes from s-Galois hulls decomposition of linear codes |
| topic | Rings and Algebras Quantum Algebra |
| url | https://arxiv.org/abs/2408.09334 |