Environment engineering to protect quantum coherence in tripartite systems under dephasing noise

Abstract: The practical success of quantum technology hinges on sustaining quantum coherence, which is vulnerable to environmental interactions causing decoherence. We investigate coherence in tripartite quantum systems under the influence of noisy environment. In this study, we explore the dynamics of the relative entropy of coherence for tripartite pure and mixed states in the presence of structured dephasing environments at finite temperatures. Our findings demonstrate that the system's resilience to decoherence is strongly influenced by the bath type and configuration. Specifically, when each qubit interacts with an independent environment, the coherence dynamics differ from those observed in a shared bath setting. In a Markov, memoryless environment, coherence in both pure and mixed states decay faster, whereas coherence is preserved for longer time in the presence of environment memory. This highlights the crucial role of environment memory in enhancing the robustness of tripartite coherence.