Robustness of non-Gaussian entanglement against noisy amplifier and attenuator environments

TL;DR

This paper analytically compares the robustness of non-Gaussian and Gaussian entanglement in noisy quantum channels, revealing that some non-Gaussian states are more resilient than Gaussian states, impacting quantum information theory.

Contribution

It introduces an analytical method using Kraus representation to evaluate non-Gaussian entanglement robustness in noisy environments, challenging previous assumptions.

Findings

Some non-Gaussian states with one ebit are more robust than all Gaussian states.

Non-Gaussian entanglement can withstand noise better than Gaussian entanglement.

Results support the conjecture that non-Gaussian states can be more resilient in noisy channels.

Abstract

The recently developed Kraus representation for bosonic Gaussian channels is employed to study analytically the robustness of non-Gaussian entanglement against evolution under noisy attenuator and amplifier environments, and compare it with the robustness of Gaussian entanglement. Our results show that some non-Gaussian states with one ebit of entanglement are more robust than all Gaussian states, even the ones with arbitrarily large entanglement, a conclusion of direct consequence to the recent conjecture by Allegra et al. [PRL, 105, 100503 (2010)].