Clifford Code Constructions of Operator Quantum Error Correcting Codes

Details Clifford Code Constructions of Operator Quantum Error Correcting Codes Clifford Code Constructions of Operator Quantum Error Correcting Codes

2006-04-21

arxiv.org/abs/quant-ph/0604161v2

Physics

Quantum Physics

11 pages of character theory; minor changes, theorem 6 added

Scientific paper

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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