Preprints, Working Papers, ... Year : 2024

Dihedral Quantum Codes

Abstract

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.
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Dates and versions

hal-04897228 , version 1 (20-01-2025)

Identifiers

  • HAL Id : hal-04897228 , version 1

Cite

Nadja Willenborg, Martino Borello, Anna-Lena Horlemann, Habibul Islam. Dihedral Quantum Codes. 2025. ⟨hal-04897228⟩
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