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Quantum Information and Computation     ISSN: 1533-7146      published since 2001
Vol.6 No.4&5 July 2006

Operator quantum error correction (pp382-399)
         David W. Kribs, Raymond Laflamme, David Poulin, and Maia Lesosky
         
doi: https://doi.org/10.26421/QIC6.4-5-6

Abstracts: This 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''.
Key words: active and passive quantum error correction, decoherence-free and noiseless subspaces and subsystems, completely positive maps

 

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