Dynamics Of Quantum Correlation And Its Related Topics

Dynamics is a branch of the mechanical sciences,which includes the investigation of the relation of force and movement of the object.The dynamics of the atoms and the subatomic particle belongs to quantum mechanics.The discovery of quantum mechanics leads to the series of epoch-making scientific discovery and technological inventions related to atomic physics,solid state physics and information science,and is important contributions to the progress of human society.The quantum correlation is one of the hottest subjects in recent decade years.Due to its value of application and scientific significance,many physicists,computer scientists?mathematicians and dynamicists have paid much attentions in this field.In the thesis,the dynamics of quantum correlation and related issues are studied as follows.1.We have investigated the sufficient and necessary condition of product state.The equal characterization about the product state,zero super quantum discord,quantum discord and zero mutual information in the two-qubit system is solved.In this thesis,we have solved the problem in the high dimensional system.At the same time,we have provided the relation of inferior geometric quantum discord,geometric quantum discord and the projection measurement.2.The definitions of the strong one-way nonlocal quantum discord and weak one-way nonlocal information deficit have been introduced based on the weak measurement.We proved that the strong one-way nonlocal quantum discord is always greater than or equal to one-way nonlocal quantum discord.Analytical expressions of one-way nonlocal quantum deficit and the relation of quantum correlation order of the werner state in 2(?)2 system are obtained.3.The dynamics of quantum discord,geometric quantum discord and one-norm geometric quantum discord for a qubit-qutrit system under the influence of dephasing environments have been studied with ohmic-like spectral densities at nonzero tempera-ture.It shows that the similar evolution behaviors may be obtained for sub-ohmic and ohmic reservoirs.Choosing the system's initial states and reservoir temperature proper-ly,the quantum correlation is of some interesting results,such as the frozen and double sudden transition as well as the "revival" phenomenon,etc.Meanwhile,the remarkable similarities and differences among these correlation measures are also analyzed in details and several important results are presented.Our results have provided some important information for the application of quantum correlation in hybrid qubit-qutrit systems in quantum information.4.The model of the light-harvesting complex ?(LH2-trimer)and Fenna-Matthews-Olson(FMO)complexes in the photosynthesis,the criterion of quantum separability and the quantification of quantum correlation for the LH2-trimer have been given in thesis.At the same time,the related results on FMO complexes have been discussed.