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arXiv · 1309.5598

Stabilizer formalism for generalized concatenated quantum codes

Yun-Jiang Wang·Bei Zeng·Markus Grassl·Barry C. Sanders
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Abstract

The concept of generalized concatenated quantum codes (GCQC) provides a systematic way for constructing good quantum codes from short component codes. We introduce a stabilizer formalism for GCQCs, which is achieved by defining quantum coset codes. This formalism offers a new perspective for GCQCs and enables us to derive a lower bound on the code distance of stabilizer GCQCs from component codes parameters,for both non-degenerate and degenerate component codes. Our formalism also shows how to exploit the error-correcting capacity of component codes to design good GCQCs efficiently.

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Yun-Jiang Wang, Bei Zeng, Markus Grassl, Barry C. Sanders. 2013-09-22. Stabilizer formalism for generalized concatenated quantum codes. https://doi.org/10.1109/isit.2013.6620282

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