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Operator quantum error correction

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arxiv quant-ph/0504189 v3 pith:EKSOLF5F submitted 2005-04-26 quant-ph math.FAmath.OA

Operator quantum error correction

classification quant-ph math.FAmath.OA
keywords correctionerrorquantumnoiselessmethodoperationsoperatorsubsystems
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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This paper is an expanded and more detailed version of our recent work in which the Operator Quantum Error Correction formalism was introduced. This is a new scheme for the error correction of quantum operations that incorporates the known techniques - i.e. the standard error correction model, the method of decoherence-free subspaces, and the noiseless subsystem method - as special cases, and relies on a generalized mathematical framework for noiseless subsystems that applies to arbitrary quantum operations. We also discuss a number of examples and introduce the notion of ``unitarily noiseless subsystems''.

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