Stabilizer formalism for generalized concatenated quantum codes
Wang, Y.-J. Zeng, B. Grassl, M. Sanders, B.C.
Wang, Y.-J.
Zeng, B.
Sanders, B.C.
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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. © 2013 IEEE.
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IEEE International Symposium on Information Theory - Proceedings
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Date
2013
DOI
10.1109/ISIT.2013.6620282
Type
Conference Paper