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arXiv · 2310.15092

Dihedral Quantum Codes

Nadja Willenborg·Martino Borello·Anna-Lena Horlemann·Habibul Islam
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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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Nadja Willenborg, Martino Borello, Anna-Lena Horlemann, Habibul Islam. 2023-10-23. Dihedral Quantum Codes. https://arxiv.org/abs/2310.15092

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