Generalized Concatenated Quantum Codes
Quantum Physics
2009-05-24 v1
Abstract
We introduce the concept of generalized concatenated quantum codes. This generalized concatenation method provides a systematical way for constructing good quantum codes, both stabilizer codes and nonadditive codes. Using this method, we construct families of new single-error-correcting nonadditive quantum codes, in both binary and nonbinary cases, which not only outperform any stabilizer codes for finite block length, but also asymptotically achieve the quantum Hamming bound for large block length.
Cite
@article{arxiv.0901.1319,
title = {Generalized Concatenated Quantum Codes},
author = {Markus Grassl and Peter Shor and Graeme Smith and John Smolin and Bei Zeng},
journal= {arXiv preprint arXiv:0901.1319},
year = {2009}
}
Comments
4 pages, 1 figure