On the generalization of the construction of quantum codes from Hermitian self-orthogonal codes
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2020
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| _version_ | 1866911858362941440 |
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| author | Galindo, Carlos Hernando, Fernando |
| author_facet | Galindo, Carlos Hernando, Fernando |
| contents | Many $q$-ary stabilizer quantum codes can be constructed from Hermitian self-orthogonal $q^2$-ary linear codes. This result can be generalized to $q^{2 m}$-ary linear codes, $m > 1$. We give a result for easily obtaining quantum codes from that generalization. As a consequence we provide several new binary stabilizer quantum codes which are records according to \cite{codet} and new $q$-ary ones, with $q \neq 2$, improving others in the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2012_11998 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | On the generalization of the construction of quantum codes from Hermitian self-orthogonal codes Galindo, Carlos Hernando, Fernando Information Theory 81P73, 94B05, 94A15 Many $q$-ary stabilizer quantum codes can be constructed from Hermitian self-orthogonal $q^2$-ary linear codes. This result can be generalized to $q^{2 m}$-ary linear codes, $m > 1$. We give a result for easily obtaining quantum codes from that generalization. As a consequence we provide several new binary stabilizer quantum codes which are records according to \cite{codet} and new $q$-ary ones, with $q \neq 2$, improving others in the literature. |
| title | On the generalization of the construction of quantum codes from Hermitian self-orthogonal codes |
| topic | Information Theory 81P73, 94B05, 94A15 |
| url | https://arxiv.org/abs/2012.11998 |