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Generalized Concatenation for Quantum Codes

Author(s)
Grassl, Markus; Shor, Peter W.; Zeng, Bei
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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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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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Abstract
We show how good quantum error-correcting codes can be constructed using generalized concatenation. The inner codes are quantum codes, the outer codes can be linear or nonlinear classical codes. Many new good codes are found, including both stabilizer codes as well as so-called non-additive codes.
Date issued
2009-08
URI
http://hdl.handle.net/1721.1/59346
Department
Massachusetts Institute of Technology. Department of Mathematics; Massachusetts Institute of Technology. Department of Physics
Journal
IEEE International Symposium on Information Theory, 2009. ISIT 2009.
Publisher
Institute of Electrical and Electronics Engineers
Citation
Grassl, M., P.W. Shor, and Bei Zeng. “Generalized concatenation for quantum codes.” Information Theory, 2009. ISIT 2009. IEEE International Symposium on. 2009. 953-957. © 2009 IEEE
Version: Final published version
Other identifiers
INSPEC Accession Number: 10841946
ISBN
978-1-4244-4312-3
Keywords
Generalized concatenated codes, correction, nonadditive codes, quantum error, stabilizer codes

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