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Tighter Constraints of Multipartite Systems in terms of General Quantum Correlations

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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.

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Acknowledgements

This work is supported by NSFC (Grant No. 12075159), Beijing Natural Science Foundation (Z190005), Academy for Multidisciplinary Studies, Capital Normal University, the Academician Innovation Platform of Hainan Province, and Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology (No. SIQSE202001).

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Authors and Affiliations

  1. School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China

    Jin-Hong Hao, Ya-Ya Ren, Qiao-Qiao Lv, Zhi-Xi Wang & Shao-Ming Fei

  2. Max-Planck-Institute for Mathematics in the Sciences, 04103, Leipzig, Germany

    Shao-Ming Fei

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  1. Jin-Hong Hao
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Correspondence to Qiao-Qiao Lv.

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Hao, JH., Ren, YY., Lv, QQ. et al. Tighter Constraints of Multipartite Systems in terms of General Quantum Correlations. Int J Theor Phys 61, 4 (2022). https://doi.org/10.1007/s10773-022-04984-4

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