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Quantum Error Correction Fault Tolerance

Dihedral Quantum Codes

arXiv
Authors: Nadja Willenborg, Martino Borello, Anna-Lena Horlemann, Habibul Islam

Year

2023

Paper ID

53531

Status

Preprint

Abstract Read

~2 min

Abstract Words

65

Citations

N/A

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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References & Citation Signals

[1] DOI https://doi.org/arXiv:2310.15092 [2] arXiv https://arxiv.org/abs/2310.15092 [3] Publisher https://arxiv.org/abs/2310.15092

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