Operator quantum error correction

Author:

Kribs D.W.,Laflamme R.,Poulin D.,Lesosky M.

Abstract

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''.

Publisher

Rinton Press

Subject

Computational Theory and Mathematics,General Physics and Astronomy,Mathematical Physics,Nuclear and High Energy Physics,Statistical and Nonlinear Physics,Theoretical Computer Science

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