Superior resilience of non-Gaussian entanglement against local Gaussian noises

• URL: http://arxiv.org/abs/2212.14745v1
• Date: Fri, 30 Dec 2022 14:38:05 GMT
• Title: Superior resilience of non-Gaussian entanglement against local Gaussian noises
• Authors: Sergey Filippov, Alena Termanova
• Abstract summary: We prove that specific non-Gaussian two-mode states remain entangled under the effect of deterministic local attenuation or amplification. These results shift the Gaussian world'' paradigm in quantum information science.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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).

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