Superior resilience of non-Gaussian entanglement against local Gaussian noises

TL;DR

This paper demonstrates that certain non-Gaussian entangled states are more resilient to local Gaussian noise than Gaussian states, challenging the assumption that Gaussian states are optimal for entanglement robustness.

Contribution

It proves that specific non-Gaussian two-mode states maintain entanglement under broader noise conditions than Gaussian states, shifting the paradigm in quantum information science.

Findings

Non-Gaussian states remain entangled under wider noise parameters.

Gaussian states are not always optimal for entanglement resilience.

Theoretical conditions for non-Gaussian entanglement robustness are established.

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).