Year: 2025
Type: article
Abstract: 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.
Institutions: University of St.Gallen, Centre National de la Recherche Scientifique, Institut national de recherche en sciences et technologies du numérique, Université Sorbonne Paris Nord, Laboratoire Analyse, Géométrie et Applications, Centre Inria de Saclay, Université Paris 8, Indian Institute of Information Technology Bhopal
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
Funder: Agence Nationale de la Recherche
OpenAlex ID: W4409922702