Complementary Quantum Correlations among Multipartite Systems

Abstract

We study the monogamy and polygamy relations related to quantum correlations for multipartite quantum systems. General monogamy relations are presented for the $\alpha$th $(0\le \alpha \le \gamma ,\gamma \ge 2)$ power of quantum correlation, and general polygamy relations are given for the $\beta$th $(\beta \ge \delta ,0\le \delta \le 1)$ 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.

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Cited by in corpus (11)

• Tightening monogamy and polygamy relations of unified entanglement in multipartite systems
• On monogamy and polygamy relations of multipartite systems
• Monogamy and polygamy relations of quantum correlations for multipartite systems
• Monogamy and trade-off relations for correlated quantum coherence
• General Monogamy and polygamy properties of quantum systems
• Tighter parameterized monogamy relations
• Weighted monogamy and polygamy relations
• Superior monogamy and polygamy relations and estimates of concurrence
• Tighter Constraints of Multipartite Systems in terms of General Quantum Correlations
• Tighter bounds for generalized monogamy and polygamy relations
• General monogamy and polygamy relations of arbitrary quantum correlations for multipartite systems