Dihedral quantum codes
We establish dihedral quantum codes of short block length, a class of Calderbank–Shor–Steane (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.
Authors
- Martino Borello (ORCID: https://orcid.org/0000-0002-4597-1244)
- Anna-Lena Trautmann (ORCID: https://orcid.org/0000-0003-2685-2343)
- Habibul Islam (ORCID: https://orcid.org/0000-0002-2196-1586)
- Nadja Willenborg (ORCID: https://orcid.org/0000-0003-3049-7268)
Institutions
- Centre National de la Recherche Scientifique (FR)
- Institut national de recherche en sciences et technologies du numérique (FR)
- University of St.Gallen (CH)
- Indian Institute of Science Education and Research, Bhopal (IN)
- Sorbonne Université (FR)
- Université Sorbonne Paris Nord (FR)
- Laboratoire Analyse, Géométrie et Applications (FR)
- Centre Inria de Saclay (FR)
- Université Paris 8 (FR)
Publication Details
- Journal
- Journal of Algebra and Its Applications
- Published
- 2025-04-29
- DOI
- https://doi.org/10.1142/s0219498825410282
- Primary Topic
- Quantum Computing Algorithms and Architecture
- Type
- article
- Field-Weighted Citation Impact
- 0.00