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 |