Quantum correlations of tripartite entangled states under Gaussian noise

We investigate the preservation of quantum coherence and entanglement carried by the three non-interacting qubits during their evolution in the presence of an external fluctuating field characterized by a classical Gaussian noise. Initially, the three non-interacting qubits are considered in two different maximally entangled states, namely Greenberger-Horne-Zeilinger (X-G) and Werner (X-W) state. Besides this, we study the time evolution of the two states in three different schemes, namely: common, mixed, and independent system-environment couplings. By deploying different measures, we show that the system-environment coupling and the Gaussian noise greatly affected the quantum correlation and coherence. We also found that the non-local correlation and coherence remain more dominant and robust in common system-environment coupling for the X-G state under the Gaussian noise. Hence, this kind of feature of the X-G state is a vital resource for the transmission of quantum information with reduced loss.