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Tighter Constraints of Multipartite Systems in terms of General Quantum Correlations

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Monogamy and polygamy relations characterize the quantum correlation distributions among multipartite quantum systems. We investigate the monogamy and polygamy relations satisfied by measures of general quantum correlation. By using the… Click to show full abstract

Monogamy and polygamy relations characterize the quantum correlation distributions among multipartite quantum systems. We investigate the monogamy and polygamy relations satisfied by measures of general quantum correlation. By using the Hamming weight, we derive new monogamy and polygamy inequalities satisfied by the β -th power and the α -th power of general quantum correlations, respectively. We show that these monogamy and polygamy relations are tighter than the existing ones, such as Liu [Int. J. Theor. Phys. 60 , 1455–1470 ( 2021 )]. Taking concurrence and the Tsallis- q entanglement of assistance as examples, we show the advantages of our results.

Keywords: general quantum; quantum correlations; monogamy polygamy; polygamy relations

Journal Title: International Journal of Theoretical Physics
Year Published: 2022

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