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 $$\alpha $$ α th $$(0\le \alpha \le \gamma , \gamma \ge 2)$$ ( 0 ≤ α ≤ γ , γ ≥ 2 ) power of quantum correlation, and general polygamy relations are given for the $$\beta $$ β th $$(\beta \ge \delta , 0\le \delta \le 1)$$ ( β ≥ δ , 0 ≤ δ ≤ 1 ) power of quantum correlation. These monogamy and polygamy inequalities are complementary to the existing ones with different parameter regions of $$\alpha $$ α and $$\beta $$ β . 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.

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