Generalized concatenated quantum codes

Author(s)
Grassl, Markus; Shor, Peter W.; Smith, Graeme; Smolin, John; Zeng, Bei
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Abstract
We discuss 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 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 meet the quantum Hamming bound for large block length.
Date issued
2009-05
URI
http://hdl.handle.net/1721.1/51860
Department
Massachusetts Institute of Technology. Department of Mathematics; Massachusetts Institute of Technology. Department of Physics
Journal
Physical Review A
Publisher
American Physical Society
Citation
Grassl, Markus et al. “Generalized concatenated quantum codes.” Physical Review A 79.5 (2009): 050306. © 2009 The American Physical Society.
Version: Final published version
ISSN
1094-1622
1050-2947
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