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Complementary Quantum Correlations among Multipartite Systems

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arxiv 2002.04456 v2 pith:5FE4PNRH submitted 2020-02-10 quant-ph

Complementary Quantum Correlations among Multipartite Systems

classification quant-ph
keywords quantummonogamypolygamyrelationsalphabetacorrelationscomplementary
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study the monogamy and polygamy relations related to quantum correlations for multipartite quantum systems. General monogamy relations are presented for the $\alpha$th $(0\leq\alpha \leq\gamma, \gamma\geq2)$ power of quantum correlation, and general polygamy relations are given for the $\beta$th $(\beta\geq \delta, 0\leq\delta\leq1)$ 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.

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