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arXiv · 1508.00978

Quantum Codes from Generalized Reed-Solomon Codes and Matrix-Product Codes

Tao Zhang·Gennian Ge
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Abstract

One of the central tasks in quantum error-correction is to construct quantum codes that have good parameters. In this paper, we construct three new classes of quantum MDS codes from classical Hermitian self-orthogonal generalized Reed-Solomon codes. We also present some classes of quantum codes from matrix-product codes. It turns out that many of our quantum codes are new in the sense that the parameters of quantum codes cannot be obtained from all previous constructions.

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Tao Zhang, Gennian Ge. 2015-08-05. Quantum Codes from Generalized Reed-Solomon Codes and Matrix-Product Codes. https://arxiv.org/abs/1508.00978

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