A No-Go Theorem for Gaussian Quantum Error Correction
Quantum Physics
2009-04-09 v1
Abstract
It is proven that Gaussian operations are of no use for protecting Gaussian states against Gaussian errors in quantum communication protocols. Specifically, we introduce a new quantity characterizing any single-mode Gaussian channel, called entanglement degradation, and show that it cannot decrease via Gaussian encoding and decoding operations only. The strength of this no-go theorem is illustrated with some examples of Gaussian channels.
Cite
@article{arxiv.0811.3128,
title = {A No-Go Theorem for Gaussian Quantum Error Correction},
author = {Julien Niset and Jaromir Fiurasek and Nicolas J. Cerf},
journal= {arXiv preprint arXiv:0811.3128},
year = {2009}
}
Comments
4 pages, 2 figures, REVTeX4