The Dynamical Evolution Properties Of Quantum Entanglement,nonlocality And Geometric Quantum Discord In Multipartite Cavity-reservoir Systems

Quantum information is a cross-disciplinary which utilizes quantum states as carriers to do the information processing, and it can complete the task which is impossible for classical information processing. This advantage of quantum information comes from the special property of quantum systems. It was believed that quantum entanglement is the only factor for quantum computation acceleration. Recently, along with the presence of the DQC1 model, people find out that the quantum acceleration can be achieved even without quantum entanglement, which has close relations with the disentangled quantum correlation in the composite system. As a typical quantum feature, quantum correlation beyond quantum entanglement get a lot of attentions. This thesis mainly focused on the characterization of quantum features such as quantum entanglement, quantum nonlocality, and geometric quantum discords, and, in particular, we study their dynamical properties in multipartite cavity-reservoir systems.In Chapter 1 of this thesis, we mainly introduce some basic concepts related to quantum information processing, including quantum entanglement, geometric quantum discords, measurement-induced nonlocality, and so on. In Chapter 2, we firstly analyze the property of maximally entangled mixed state and the evolution of dissipative cavity-reservoir systems. Then we investigate the dynamical evolution of the measurement-induced nonlocality in the maximally entangled mixed state. In chapter 3, we prove several important features of geometric quantum discords(GQD-1 & GQD-2). Furthermore, we make a comparative study on the dynamical property of two geometric quantum discords in multipartite cavity-reservoir systems, where we find that the GQD-1 undergoes asymptotic evolves but the GQD-2 can exhibit various sudden change phenomena. In addition, we analyze the monogamy property of GQD-1, where we find GQD-1 itself is not monogamous, but the squared GQD-1 is likely to exhibit relevant monogamy. Finally, we present a brief summary and outlook for the future study.