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Tighter monogamy and polygamy inequalities based on the generalized W-class states

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Abstract

Based on the reduced density matrices of a generalized W-class (GW) state with respect to arbitrary partitions, we investigate the monogamy and polygamy inequalities of concurrence and concurrence of assistance (CoA), respectively. For a partially coherent superposition of a GW state and a vacuum under any partitions, we present monogamy and polygamy inequalities of the convex-roof extended negativity and the convex-roof extended negativity of assistance, respectively. We prove that these monogamy and polygamy inequalities are tighter than the existing ones. The finer characterization of the entanglement distribution is illustrated by detailed examples.

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Acknowledgements

This work is supported by the NSF of China under Grant Nos. 12175147, 12075159 and 12171044; Zhejiang Provincial Natural Science Foundation of China under Grant No. LZ24A050005; Beijing Natural Science Foundation (Grant No. Z190005); the Academician Innovation Platform of Hainan Province.

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Authors and Affiliations

  1. School of Computer and Computing Science, Hangzhou City University, Hangzhou, 310015, China

    Bing Xie & Bo Li

  2. Department of Mathematics, East China University of Technology, Nanchang, 330013, China

    Bin Hu

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

    Shao-Ming Fei

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

    Shao-Ming Fei

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  1. Bing Xie
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  2. Bo Li
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  3. Bin Hu
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  4. Shao-Ming Fei
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Correspondence to Bo Li.

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Xie, B., Li, B., Hu, B. et al. Tighter monogamy and polygamy inequalities based on the generalized W-class states. Quantum Inf Process 23, 115 (2024). https://doi.org/10.1007/s11128-024-04315-y

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