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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Complementary Quantum Correlations among Multipartite Systems

Zhi-Xiang Jin, Shao-Ming Fei and Cong-Feng Qiao


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.


Related publications

2020 Repository Open Access
Zhi-Xiang Jin, Shao-Ming Fei and Cong-Feng Qiao

Complementary quantum correlations among multipartite systems

In: Quantum information processing, 19 (2020) 3, p. 101