Clifford Code Constructions of Operator Quantum Error Correcting Codes

Andreas Klappenecker; Pradeep Kiran Sarvepalli

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Clifford Code Constructions of Operator Quantum Error Correcting Codes

Andreas Klappenecker·Pradeep Kiran Sarvepalli

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Abstract

Recently, operator quantum error-correcting codes have been proposed to unify and generalize decoherence free subspaces, noiseless subsystems, and quantum error-correcting codes. This note 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.

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BibTeX RIS

Andreas Klappenecker, Pradeep Kiran Sarvepalli. 2006-10-18. Clifford Code Constructions of Operator Quantum Error Correcting Codes. https://arxiv.org/abs/quant-ph/0604161

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