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A note on the lower bounds of genuine multipartite entanglement concurrence

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Abstract

Quantum entanglement plays a pivotal role in quantum information processing. Quantifying quantum entanglement is a challenging and essential research area within the field. This manuscript explores the relationships between bipartite entanglement concurrence, multipartite entanglement concurrence, and genuine multipartite entanglement (GME) concurrence. We derive lower bounds on GME concurrence from these relationships, demonstrating their superiority over existing results through rigorous proofs and numerical examples. Additionally, we investigate the connections between GME concurrence and other entanglement measures, such as tangle and global negativity, in multipartite quantum systems.

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No datasets were generated or analyzed during the current study.

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Acknowledgements

This work is supported by NSFC No.11701568, 12075159, the Fundamental Research Funds for the Central Universities No.22CX03005A, 24CX03003A, the Shandong Provincial Natural Science Foundation for Quantum Science No. ZR2021LLZ002, Beijing Natural Science Foundation (Z190005), the Academician Innovation Platform of Hainan Province, and Academy for Multidisciplinary Studies, Capital Normal University.

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Authors and Affiliations

  1. College of the Science, China University of Petroleum, Qingdao, 266580, China

    Ming Li, Yaru Dong, Ruiqi Zhang, Shuqian Shen & Lei Li

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

    Xuena Zhu

  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

Authors
  1. Ming Li
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  2. Yaru Dong
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  4. Xuena Zhu
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  5. Shuqian Shen
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  6. Lei Li
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  7. Shao-Ming Fei
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Contributions

M.L. and R.Z. derived the main theorem, Y. D. performed the numerical simulation, and X.Z., S.S., L.L., and S.M.F. analyzed the results. All authors reviewed the manuscript.

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Correspondence to Ming Li.

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Li, M., Dong, Y., Zhang, R. et al. A note on the lower bounds of genuine multipartite entanglement concurrence. Quantum Inf Process 23, 397 (2024). https://doi.org/10.1007/s11128-024-04607-3

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  • DOI: https://doi.org/10.1007/s11128-024-04607-3

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