Quantum Error Correction Beyond Completely Positive Maps
Quantum Physics
2009-10-21 v4
Abstract
By introducing an operator sum representation for arbitrary linear maps, we develop a generalized theory of quantum error correction (QEC) that applies to any linear map, in particular maps that are not completely positive (CP). This theory of "linear quantum error correction" is applicable in cases where the standard and restrictive assumption of a factorized initial system-bath state does not apply.
Cite
@article{arxiv.quant-ph/0610028,
title = {Quantum Error Correction Beyond Completely Positive Maps},
author = {A. Shabani and D. A. Lidar},
journal= {arXiv preprint arXiv:quant-ph/0610028},
year = {2009}
}
Comments
This paper has been withdrawn as it has been superseded by arXiv:0808.0175 and arXiv:0902.2478