Analytic Expression of Quantum Discords in Werner States under LQCC In this paper, quantum discords in a special kind of states, i.e., Werner states by local quantum operations and classical communication (LQCC) protocols (WLQCC states), are studied. Nineteen parameters to quantify the quantum discords are reduced to four parameters in terms of properties of Werner states and quantum discord. In the case of orthogonal projective measures, analytic expression of quantum discords in WLQCC states is analytically worked out. Some properties of the quantum discord in the WLQCC states are obtained, especially the variation relations between the quantum discords and the parameters characterizing the WLQCC states. By virtue of numerical computations, quantum discords in a Werner state before and after LQCC protocols are compared. It is found that quantum discord in any WLQCC state cannot exceed that in the original Werner state.

Complementary quantum correlations among multipartite systems We study the monogamy and polygamy relations related to quantum correlations for multipartite quantum systems. General monogamy relations are presented for the (alpha )th ((0le alpha le gamma , gamma ge 2)) power of quantum correlation, and general polygamy relations are given for the (beta )th ((beta ge delta , 0le delta le 1)) power of quantum correlation. These monogamy and polygamy inequalities are complementary to the existing ones with different parameter regions of (alpha ) and (beta ). Applying these results to specific quantum correlations, the corresponding new classes of monogamy and polygamy relations are obtained, which include the existing ones as special cases. Detailed examples are given.