Inhomogeneous quantum codes (II): non-additive case

Weiyang WANG; Keqin FENG

doi:10.1007/s11464-012-0209-2

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Front. Math. China ›› 2012, Vol. 7 ›› Issue (3) : 573-586. DOI: 10.1007/s11464-012-0209-2

RESEARCH ARTICLE

Inhomogeneous quantum codes (II): non-additive case

Weiyang WANG¹ ,
Keqin FENG²

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Abstract

The quantum codes have been generalized to inhomogeneous case and the stabilizer construction has been established to get additive inhomogeneous quantum codes in [Sci. China Math., 2010, 53: 2501-2510]. In this paper, we generalize the known constructions to construct non-additive inhomogeneous quantum codes and get examples of good d-ary quantum codes.

Keywords

Quantum code / inhomogeneous code / mixed code / finite abelian group / character / quadratic generalized boolean function

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Weiyang WANG, Keqin FENG. Inhomogeneous quantum codes (II): non-additive case. Front Math Chin, 2012, 7(3): 573‒586 https://doi.org/10.1007/s11464-012-0209-2

References

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