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Paper 1
Stabilizer formalism for generalized concatenated quantum codes
Yun-Jiang Wang, Bei Zeng, Markus Grassl, Barry C. Sanders
- Year
- 2013
- Journal
- arXiv preprint
- DOI
- arXiv:1309.5598
- arXiv
- 1309.5598
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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