A family of asymptotically good quantum codes based on code concatenation
Quantum Physics
2009-01-06 v1 Information Theory
math.IT
Abstract
We explicitly construct an infinite family of asymptotically good concatenated quantum stabilizer codes where the outer code uses CSS-type quantum Reed-Solomon code and the inner code uses a set of special quantum codes. In the field of quantum error-correcting codes, this is the first time that a family of asymptotically good quantum codes is derived from bad codes. Its occurrence supplies a gap in quantum coding theory.
Keywords
Cite
@article{arxiv.0901.0042,
title = {A family of asymptotically good quantum codes based on code concatenation},
author = {Zhuo Li and Li-Juan Xing and Xin-Mei Wang},
journal= {arXiv preprint arXiv:0901.0042},
year = {2009}
}
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10 pages