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Operator quantum error correction

David W. Kribs·Raymond Laflamme·David Poulin·Maia Lesosky
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Abstract

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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David W. Kribs, Raymond Laflamme, David Poulin, Maia Lesosky. 2006-01-17. Operator quantum error correction. https://arxiv.org/abs/quant-ph/0504189

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