Dihedral Quantum Codes

October 23, 2023 Β· Declared Dead Β· πŸ› arXiv.org

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Authors Nadja Willenborg, Martino Borello, Anna-Lena Horlemann, Habibul Islam arXiv ID 2310.15092 Category quant-ph: Quantum Computing Cross-listed cs.CR, cs.IT Citations 1 Venue arXiv.org Last Checked 5 months ago
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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