Quantum CSS Duadic and Triadic Codes: New Insights and Properties
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866913425132617728 |
|---|---|
| author | Dastbasteh, Reza Larrarte, Olatz Sanz Martinez, Josu Etxezarreta iOlius, Antonio deMarti del Moral, Javier Oliva Bofill, Pedro Crespo |
| author_facet | Dastbasteh, Reza Larrarte, Olatz Sanz Martinez, Josu Etxezarreta iOlius, Antonio deMarti del Moral, Javier Oliva Bofill, Pedro Crespo |
| contents | In this study, we investigate the construction of quantum CSS duadic codes with dimensions greater than one. We introduce a method for extending smaller splittings of quantum duadic codes to create larger, potentially degenerate quantum duadic codes. Furthermore, we present a technique for computing or bounding the minimum distances of quantum codes constructed through this approach. Additionally, we introduce quantum CSS triadic codes, a family of quantum codes with a rate of at least $\frac{1}{3}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_07753 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quantum CSS Duadic and Triadic Codes: New Insights and Properties Dastbasteh, Reza Larrarte, Olatz Sanz Martinez, Josu Etxezarreta iOlius, Antonio deMarti del Moral, Javier Oliva Bofill, Pedro Crespo Information Theory 94B05, 94B15 In this study, we investigate the construction of quantum CSS duadic codes with dimensions greater than one. We introduce a method for extending smaller splittings of quantum duadic codes to create larger, potentially degenerate quantum duadic codes. Furthermore, we present a technique for computing or bounding the minimum distances of quantum codes constructed through this approach. Additionally, we introduce quantum CSS triadic codes, a family of quantum codes with a rate of at least $\frac{1}{3}$. |
| title | Quantum CSS Duadic and Triadic Codes: New Insights and Properties |
| topic | Information Theory 94B05, 94B15 |
| url | https://arxiv.org/abs/2407.07753 |