Clifford Code Constructions of Operator Quantum Error-Correcting Codes

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...

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Veröffentlicht in:	IEEE transactions on information theory Jg. 54; H. 12; S. 5760 - 5765
Hauptverfasser:	Klappenecker, A., Sarvepalli, P.K.
Format:	Journal Article
Sprache:	Englisch
Veröffentlicht:	New York, NY IEEE 01.12.2008 Institute of Electrical and Electronics Engineers The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Schlagworte:	Additives Applied mathematics Applied sciences Clifford codes Codes Coding, codes Construction Convolution Convolutional codes Electrical engineering Error analysis Error correction Error correction codes Exact sciences and technology Information theory Information, signal and communications theory Lattices Mathematical analysis Maximum likelihood decoding Maximum likelihood detection operator quantum error-correcting codes Operators quantum codes Quantum physics Signal and communications theory Signal processing Signal processing algorithms stabilizer codes State-space methods Subspaces subsystem codes Telecommunications and information theory Viterbi algorithm quantum codes Finite field stabilizer codes Clifford codes Orthogonal code Subsystem operator quantum error-correcting codes Subspace method subsystem codes Error correcting code
ISSN:	0018-9448, 1557-9654
Online-Zugang:	Volltext
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Zusammenfassung:	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.
Bibliographie:	SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 ObjectType-Article-2 content type line 23
ISSN:	0018-9448 1557-9654
DOI:	10.1109/TIT.2008.2006429