Stabilizer formalism for generalized concatenated quantum codes
Quantum Physics
2013-10-14 v1 Information Theory
math.IT
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.
Cite
@article{arxiv.1309.5598,
title = {Stabilizer formalism for generalized concatenated quantum codes},
author = {Yun-Jiang Wang and Bei Zeng and Markus Grassl and Barry C. Sanders},
journal= {arXiv preprint arXiv:1309.5598},
year = {2013}
}
Comments
5 pages, 2 figures, International Symposium on Information Theory, 7 July - 12 July 2013, Istanbul, Turkey