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Efficient detection for quantum states containing fewer than k unentangled particles in multipartite quantum systems

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Abstract

In this paper, we mainly investigate the detection of quantum states containing fewer than k unentangled particles in multipartite quantum systems. Based on inequalities of nonlinear operators, we derive two families of criteria for detecting N-partite quantum states containing fewer than k unentangled particles. By concrete examples, we point out that both families of criteria can identify some quantum states containing fewer than k unentangled particles that cannot be tested by known criteria. This demonstrates the effectiveness of our criteria.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China under Grant Nos. 62271189, 12071110, 11701135, funded by Science and Technology Project of Hebei Education Department under Grant No. ZD2021066, the Hebei Central Guidance on Local Science and Technology Development Foundation of China under Grant No. 236Z7604G, supported by National Pre-research Funds of Hebei GEO University in 2023 (Grant KY202316), PhD Research Startup Foundation of Hebei GEO University (Grant BQ201615).

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Authors and Affiliations

  1. School of Mathematics and Science, Hebei GEO University, Shijiazhuang, 050031, China

    Yabin Xing, Yan Hong & Limin Gao

  2. School of Mathematical Sciences, Hebei Normal University, Shijiazhuang, 050024, China

    Ting Gao

  3. College of Physics, Hebei Key Laboratory of Photophysics Research and Application, Hebei Normal University, Shijiazhuang, 050024, China

    Fengli Yan

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  1. Yabin Xing
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Correspondence to Ting Gao.

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Xing, Y., Hong, Y., Gao, L. et al. Efficient detection for quantum states containing fewer than k unentangled particles in multipartite quantum systems. Quantum Inf Process 23, 24 (2024). https://doi.org/10.1007/s11128-023-04233-5

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