01090nas a2200181 4500008004100000245003800041210003800079300000800117490000600125520063100131653002100762653000900783100001500792700001600807700001400823700001500837856005600852 2006 eng d00aOperator quantum error correction0 aOperator quantum error correction a3820 v63 aThis paper is an expanded and more detailed version of the work \cite{KLP04} 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''.10aError correction10aOQEC1 aKribs, D W1 aLaflamme, R1 aPoulin, D1 aLesosky, M uhttps://www.physique.usherbrooke.ca/pages/node/6228