Dynamics and resilience of quantum correlations between two-mode Gaussian states in Gaussian environments

Gaussian states, characterized by probability distributions in phase-space representations, play a fundamental role in quantum information processing. Despite their mathematical tractability, the presence of noise imposes limitations on achieving quantum protocols, impacting their effectiveness in continuous-variable quantum systems for various communication and computation tasks. Hence, investigating quantum entanglement and quantum correlations within the coherence of Gaussian states in noisy channels holds significant importance. In this study, we introduce and investigate a framework designed to precisely define and explore the dynamic evolution of quantum correlations within twomode Gaussian states subjected to the effects of a Gaussian thermal environment. We elucidate the temporal progression of quantum correlations within an open system comprising two interconnected bosonic modes embedded in a Gaussian thermal environment. We explore the impact of the environment by considering the evolution of the initial parameters of the input states. We measure the quantum correlations by employing the quantifiers: the Gaussian logarithmic negativity (GLN) N and the Gaussian quantum discord (GQD) D G . The behavior of these quantum correlation quantifiers is intricately related to the parameters of the input states utilized in the analysis. We demonstrate that the GQD D G serves as an appropriate measurement quantifier in capturing fundamental quantum correlations, outperforming other quantifiers. Furthermore, our findings reveal that the GQD D G exhibits greater resilience compared to GLN N , showing a reduced sensitivity to external influences.