Sustainability of distribution of entanglement in tripartite systems under dephasing environment

Sovik Roy, Chandrashekar Radhakrishnan, Abhijit Mandal, Md. Manirul Ali

Published 2024-08-19Version 1

Preserving multipartite entanglement amidst decoherence poses a pivotal challenge in quantum information processing. Also the measurement of multipartite entanglement in mixed states amid decoherence presents a formidable task. Employing reservoir memory offers a means to attenuate the decoherence dynamics impacting multipartite entanglement, slowing its degradation. In this work, we investigate the distribution of entanglement in tripartite systems for both pure and mixed states under a structured dephasing environment at finite temperature under both Markovian and Non-Markovian dynamics. Here, we consider situation where the three qubits in a common reservoir and also the situation where each qubit is in a local bosonic reservoir. We have also shown that the robustness of a quantum system to decoherence depends on the distribution of entanglement and its interaction with the different configurations of the bath. When each qubit has its own local environment, the system exhibits different dynamics compared to when all three qubits share a common environment. Furthermore, in the presence of the reservoir memory, the sustainability of distribution of entanglement in a tripartite system under dephasing dynamics is significantly enhanced.