English

Operator quantum error correction

Quantum Physics 2007-05-23 v3 Functional Analysis Operator Algebras

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''.

Keywords

Cite

@article{arxiv.quant-ph/0504189,
  title  = {Operator quantum error correction},
  author = {David W. Kribs and Raymond Laflamme and David Poulin and Maia Lesosky},
  journal= {arXiv preprint arXiv:quant-ph/0504189},
  year   = {2007}
}

Comments

21 pages, to appear in Quantum Information & Computation