Quantifying quantum correlations in noisy Gaussian channels

TL;DR

This paper investigates how quantum correlations, including entanglement and other quantum measures, evolve over time in two-mode Gaussian states subjected to noisy Gaussian thermal environments, highlighting the robustness of certain quantum correlations.

Contribution

It introduces a scheme to analyze the dynamic evolution of quantum correlations in Gaussian states within noisy thermal environments, emphasizing the role of different quantum correlation measures.

Findings

Gaussian interferometric power captures quantum correlations beyond entanglement.

Quantum correlations depend on initial state parameters.

Gaussian interferometric power is less affected by noise than entanglement.

Abstract

The Gaussian states are essential ingredients in many tasks of quantum information processing. The presence of the noises imposes limitations on achieving these quantum protocols. Therefore, examining the evolution of quantum entanglement and quantum correlations under the coherence of Gaussian states in noisy channels is of paramount importance. In this paper, we propose and analyze a scheme that aims to specify and examine the dynamic evolution of the quantum correlations in two-modes Gaussian states submitted to the influence of the Gaussian thermal environment. We describe the time evolution of the quantum correlations in an open system consisting of two coupled bosonic modes embedded in a Gaussian thermal environment. We discuss the influence of the environment in terms of the initial parameters of the input states. The quantum correlations are quantified using Gaussian interferometric power and the Gaussian entanglement of formation. The behavior of these quantum correlations quantifiers is strictly dependent on the parameters of the input states that are employed. We show that the Gaussian interferometric power is a measurement quantifier that can capture the essential quantum correlations beyond quantum entanglement. In addition, we show that the Gaussian interferometric power is less influenced than the Gaussian entanglement of formation.