Dihedral Quantum Codes
Fuente:
arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | |
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| _version_ | 1866912359139770368 |
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| author | Willenborg, Nadja Borello, Martino Horlemann, Anna-Lena Islam, Habibul |
| author_facet | Willenborg, Nadja Borello, Martino Horlemann, Anna-Lena Islam, Habibul |
| contents | We establish dihedral quantum codes of short block length, a class of CSS codes obtained by the lifted product construction. We present the code construction and give a formula for the code dimension, depending on the two classical codes that the CSS code is based on. We also give a lower bound on the code distance and construct an example of short dihedral quantum codes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_15092 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Dihedral Quantum Codes Willenborg, Nadja Borello, Martino Horlemann, Anna-Lena Islam, Habibul Quantum Physics Cryptography and Security Information Theory We establish dihedral quantum codes of short block length, a class of CSS codes obtained by the lifted product construction. We present the code construction and give a formula for the code dimension, depending on the two classical codes that the CSS code is based on. We also give a lower bound on the code distance and construct an example of short dihedral quantum codes. |
| title | Dihedral Quantum Codes |
| topic | Quantum Physics Cryptography and Security Information Theory |
| url | https://arxiv.org/abs/2310.15092 |