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Recently, operator quantum error-correcting codes have been proposed to unify and generalize decoherence free subspaces, noiseless subsystems, and quantum error-correcting codes. This correspondence introduces a natural construction of such codes in terms of Clifford codes, an elegant generalization of stabilizer codes due to Knill. Character-theoretic methods are used to derive a simple method to construct operator quantum error-correcting codes from any classical additive code over a finite field, which obviates the need for self-orthogonal codes.
Published in:
Information Theory, IEEE Transactions on
(Volume:54
,
Issue:
12
)
Date of Publication: Dec. 2008
- Page(s):
- 5760 - 5765
- ISSN :
- 0018-9448
- INSPEC Accession Number:
- 10324560
- Digital Object Identifier :
- 10.1109/TIT.2008.2006429
- Date of Current Version :
- 25 November 2008
- Issue Date :
- Dec. 2008
- Sponsored by :
- IEEE Information Theory Society
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