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The entanglement criteria via a broad class of symmetric informationally complete measurements

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Abstract

The detection of entanglement is a basic problem in quantum information theory. Our goal in this work is to study the quantum separability problem with respect to a broad class of informationally completed symmetric measurements, including general symmetrical information complete POVM and mutually unbiased measurements. Furthermore, several separability criteria are presented in bipartite and many-body quantum systems, respectively. Some detailed examples are given and showed that our criteria are more powerful and comprehensive than the existing ones in entanglement detection.

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The data sets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China (Grant No. 11671284), Sichuan Science and Technology Program (Grant No. 2020YFG0290), the Central Guidance on Local Science and Technology Development Fund of Sichuan Province (22ZYZYTS0064), the Chengdu Key Research and Development Support Program (Grants No. 2021-YF09-0016-GX).

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Authors and Affiliations

  1. School of Science, Xihua University, Chengdu, 610039, China

    Liang Tang

  2. School of Mathematical Sciences, Sichuan Normal University, Chengdu, 610066, China

    Liang Tang

  3. Institute of Intelligent Information and Quantum Information, Sichuan Normal University, Chengdu, 610066, China

    Liang Tang

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  1. Liang Tang
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Correspondence to Liang Tang.

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Tang, L. The entanglement criteria via a broad class of symmetric informationally complete measurements. Quantum Inf Process 22, 57 (2023). https://doi.org/10.1007/s11128-022-03811-3

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