| With the new discipline of the quantum information science development, quantum correlation continuously became a hot issue. Quantum correlation is viewed as a very important resource in quantum information processing, it is also believed to be the main ingredient of quantum computer. Realistic quantum systems interact inevitably with their environment, so the study of quantuam correlation is very important. In this thesis, we study the quantuam correlation in the Non-Markovian environment. We concretely calculate the quantum correlation of the two-level which is in the Non-Markovian environment. The content of this thesis include four chapters.Chapter1is the exordium. We introduce the concepts of Markovian, Non-Markovian and quantum correlatioon. We give some measures of quantum cor-relation.We also give some domestic and foreign research situation of quantum correlation.In Chapter2, we introduce the quantum correlation of two-level systems in the Non-Markovian environment. We distribute the quantum correlation of the two qubit in which initial state is similar to the Bell state. In this case,we find the phenomenon of quantum beat. At the same time, we have discussed the protection of quantum correlation.In Chapter3, we study the quantum entanglement for a two-level system interacting with a zero-temperature structured environment without rotating wave approximation. We also compare the results with the case which have considered the rotating wave approximation. We explain the role of counter-rotating terms in the dynamic evolution. In this case, we also find the phenomenon of quantum beat. Chapter4is the summary of the work and an outlook of the thesis. |