Superior resilience of non-Gaussian entanglement against local Gaussian noises

Abstract

Entanglement distribution task encounters a problem of how the initial entangled state should be prepared in order to remain entangled the longest possible time when subjected to local noises. In the realm of continuous-variable states and local Gaussian channels it is tempting to assume that the optimal initial state with the most robust entanglement is Gaussian too; however, this is not the case. Here we prove that specific non-Gaussian two-mode states remain entangled under the effect of deterministic local attenuation or amplification (Gaussian channels with the attenuation factor/power gain ${\kappa }_i$ and the noise parameter ${\mu }_i$ for modes $i=1,2$) whenever ${\kappa }_1{\mu }_2^2+{\kappa }_2{\mu }_1^2<\frac{1}{4}({\kappa }_1+{\kappa }_2)(1+{\kappa }_1{\kappa }_2)$, which is a strictly larger area of parameters as compared to where Gaussian entanglement is able to tolerate noise. These results shift the ``Gaussian world'' paradigm in quantum information science (within which solutions to optimization problems involving Gaussian channels are supposed to be attained at Gaussian states).

11 pages, 4 figures

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