https://doi.org/10.1140/epjp/s13360-023-04722-7
Regular Article
General monogamy and polygamy relations of arbitrary quantum correlations for multipartite systems
1
School of Mathematical Sciences, Capital Normal University, 100048, Beijing, China
2
Max-Planck-Institute for Mathematics in the Sciences, 04103, Leipzig, Germany
a
18738951378@163.com
b
wangkk@cnu.edu.cn
c
feishm@cnu.edu.cn
Received:
29
June
2023
Accepted:
20
November
2023
Published online:
9
December
2023
Monogamy and polygamy of quantum correlations are the fundamental properties of quantum systems. We study the monogamy and polygamy relations satisfied by any quantum correlations in multipartite quantum systems. General monogamy relations are presented for the 
th 
, 
power of quantum correlation, and general polygamy relations are given for the 
th 
, 
power of quantum correlation. We show that these newly derived monogamy and polygamy inequalities are tighter than the existing ones. By applying these results to specific quantum correlations such as concurrence and the square of convex-roof extended negativity of assistance (SCRENoA), the corresponding new classes of monogamy and polygamy relations are obtained, which include the existing ones as special cases. Detailed examples are given to illustrate the advantages of our results.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
