Tighter Constraints of Multipartite Systems in terms of General Quantum Correlations

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 inequalitie...

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Bibliographic Details
Published in:International journal of theoretical physics 2022, Vol.61 (1), Article 4
Main Authors: Hao, Jin-Hong, Ren, Ya-Ya, Lv, Qiao-Qiao, Wang, Zhi-Xi, Fei, Shao-Ming
Format: Article
Language:English
Subjects:
Elementary Particles
Entanglement
Mathematical and Computational Physics
Monogamy
Original Research
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Theoretical
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Summary: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.
ISSN:0020-7748
1572-9575
DOI:10.1007/s10773-022-04984-4