Detection of non-Gaussian entangled states with an improved continuous-variable separability criterion
Abstract
Currently available separability criteria for continuous-variable states are generally based on the covariance matrix of quadrature operators. The well-known separability criterion of Duan et al. [Phys. Rev. Lett. 84, 2722 (2000)] and Simon [Phys. Rev. Lett. 84, 2726 (2000)] , for example, gives a necessary and sufficient condition for a two-mode Gaussian state to be separable, but leaves many entangled non-Gaussian states undetected. Here, we introduce an improvement of this criterion that enables a stronger entanglement detection. The improved condition is based on the knowledge of an additional parameter, namely the degree of Gaussianity, and exploits a connection with Gaussianity-bounded uncertainty relations [Phys. Rev. A 86, 030102 (2012)]. We exhibit families of non-Gaussian entangled states whose entanglement remains undetected by the Duan-Simon criterion.
Cite
@article{arxiv.1511.06621,
title = {Detection of non-Gaussian entangled states with an improved continuous-variable separability criterion},
author = {Anaelle Hertz and Evgueni Karpov and Aikaterini Mandilara and Nicolas J. Cerf},
journal= {arXiv preprint arXiv:1511.06621},
year = {2016}
}
Comments
Revised presentation, results unchanged. 10 pages, 6 figures