CSS-$T$ codes over Binary Extension Fields and their Physical Foundations
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913956608606208 |
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| author | Postema, Jasper J. Conca, F. Ravagnani, A. |
| author_facet | Postema, Jasper J. Conca, F. Ravagnani, A. |
| contents | We investigate the class of CSS-$T$ codes, a family of quantum error-correcting codes that allows for a transversal $T$-gate. We extend the definition of a pair of linear codes $(C_1,C_2)$, $C_i\subseteq\mathbb{F}_q^n$, forming a $q$-ary CSS-$T$ code over binary extension fields, and demonstrate the existence of asymptotically good sequences of LDPC CSS-$T$ codes over any such field. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_17611 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | CSS-$T$ codes over Binary Extension Fields and their Physical Foundations Postema, Jasper J. Conca, F. Ravagnani, A. Quantum Physics We investigate the class of CSS-$T$ codes, a family of quantum error-correcting codes that allows for a transversal $T$-gate. We extend the definition of a pair of linear codes $(C_1,C_2)$, $C_i\subseteq\mathbb{F}_q^n$, forming a $q$-ary CSS-$T$ code over binary extension fields, and demonstrate the existence of asymptotically good sequences of LDPC CSS-$T$ codes over any such field. |
| title | CSS-$T$ codes over Binary Extension Fields and their Physical Foundations |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2507.17611 |