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Polygamy of quantum correlation measures for tripartite systems

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Abstract

We study the polygamy of arbitrary quantum correlation measures Q for tripartite quantum systems. Both sufficient and necessary conditions for Q to be polygamous in terms of the \(\alpha \)th power of Q are explicitly derived. Moreover, analytical polygamy conditions for any quantum correlation measure Q have been also presented with respect to certain subsets of quantum states. Detailed examples are given to illustrate our results.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China under grant No. 12075159, No. 12171044 and No. 12301582; the specific research fund of the Innovation Platform for Academicians of Hainan Province under Grant No. YSPTZX202215; Guangdong Basic and Applied Basic Research Foundation under Grants No. 2024A1515030023; and the Start-up Funding of Dongguan University of Technology No. 221110084.

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Authors and Affiliations

  1. School of Mathematics and Statistics Science, Ludong University, Yantai, 264025, China

    Xue-Na Zhu & Gui Bao

  2. School of Computer Science and Technology, Dongguan University of Technology, Dongguan, 523808, China

    Zhi-Xiang Jin

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

    Shao-Ming Fei

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  1. Xue-Na Zhu
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  2. Gui Bao
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Correspondence to Xue-Na Zhu.

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Zhu, XN., Bao, G., Jin, ZX. et al. Polygamy of quantum correlation measures for tripartite systems. Quantum Inf Process 23, 146 (2024). https://doi.org/10.1007/s11128-024-04352-7

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