The Monogamy Relations Between Internal Entanglement And External Quantum Correlations In The Dynamics Of Multipartite Systems

Quantum correlation is one of the most fundamental properties of quantum physics,and now it has become a kind of important resource in quantum information processing.The distribution of quantum correlation is monogamous,which means that it can't be shared freely in many-body systems.The quantitative characterization on this property is given by monogamous inequalities.Quantum entanglement is the most quintessential type of quantum correlations.In 2000,Coffman et al presented the first entanglement monogamous inequality(i.e.the CKW inequality)for the concurrence in three-qubit systems.Whereafter,this kind of inequality can be generalized to multi-particle and multi-level systems.In 2017,Camalet of France analyzed the trade-off relation between internal and external entanglement,and proved a new entanglement monogamy inequality different from the CKW type.Furthermore,he showed the trade-off relations between internal entanglement and external correlations which give the limitations of quantum resources sharing between internal and external systems.However,the application of the new inequality is not easy due to its specific demand on external entanglement measure leading to computational difficulties.The above reason motivates our study in this dissertation,and we are dedicated to construct new monogamous relations being appropriate for the dynamics in multipartite systems.This dissertation is divided into three parts.In Chapter one,we introduce the common measures and the typical monogamous inequalities for quantum correlations,and then sketch the entanglement distribution in multipartite cavity-reservoir systems.In Chapter two,we study the internal and external entanglement based on concurrence and the entanglement of formation and prove new monogamous inequalities easy to compute.Furthermore,by taking the advantage of the new tools,we analyze the entanglement property in the standard form of three-qubit pure state and the entanglement transfer in multipartite cavity-reservoir systems.In Chapter three,we study the trade-off between internal Bell nonlocality and external quantum correlations.The inequalities for different quantum resources are proved and we investigate the dynamics of multipartite systems under dissipative environments.Finally,we look to the direction and conception of our research in future.