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Tighter monogamy relations of the \(S^{t}\) and \(T^{t}_q\)-entropy entanglement measures based on dual entropy

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Abstract

Monogamy of entanglement is the fundamental property of quantum systems. By using two new entanglement measures based on dual entropy, the \(S^{t}\)-entropy entanglement and \(T^{t}_q\)-entropy entanglement measures, we present the general monogamy relations in multi-qubit quantum systems. We show that these newly derived monogamy inequalities are tighter than the existing ones. Based on these general monogamy relations, we construct the set of multipartite entanglement indicators for N-qubit states, which are shown to work well even for the cases that the usual concurrence-based indicators do not work. Detailed examples are presented to illustrate our results.

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Data availability

No datasets were generated or analyzed during the current study.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (NSFC) under Grants 12075159, 12171044 and 12301582; the specific research fund of the Innovation Platform for Academicians of Hainan Province; the Start-up Funding of Dongguan University of Technology No. 221110084.

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Authors and Affiliations

  1. School of Mathematical Sciences, Capital Normal University, Bei**g, 100048, China

    Zhong-** Shen, Kang-Kang Yang, Zhi-** Wang & Shao-Ming Fei

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

    Zhi-**ang **

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Writing-original draft, Zhong-** Shen, Kang-Kang Yang; Writing-review and editing, Zhi-**ang **, Zhi-** Wang and Shao-Ming Fei. All authors have read and agreed to the published version of the manuscript.

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Shen, ZX., Yang, KK., **, ZX. et al. Tighter monogamy relations of the \(S^{t}\) and \(T^{t}_q\)-entropy entanglement measures based on dual entropy. Quantum Inf Process 23, 274 (2024). https://doi.org/10.1007/s11128-024-04481-z

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