Dihedral Quantum Codes

Published 23 Oct 2023 in quant-ph, cs.CR, cs.IT, and math.IT | (2310.15092v3)

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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