Generalized concatenated quantum codes
Name
Grassl-2009-Generalized concaten.pdf
Size
89.5 KB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
Grassl, Markus
Shor, Peter W.
Smith, Graeme
Smolin, John
Zeng, Bei
Date Issued
May 2009
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
http://dx.doi.org/10.1103/PhysRevA.79.050306
