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Clifford Code Constructions of Operator Quantum Error-Correcting Codes

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2 Author(s)
Andreas Klappenecker ; Dept. of Comput. Sci., Texas A&M Univ., College Station, TX ; Pradeep Kiran Sarvepalli

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:

IEEE Transactions on Information Theory  (Volume:54 ,  Issue: 12 )