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    Experimental robust certification of the maximally entangled state via nonprojective measurements

    Meng-Yun Ma, Chao-Jie Sun, Xu Xu, Kai-Mei Zheng, Han-Yu Cheng, Qi-Ping Su, Chui-Ping Yang*, and Yong-Nan Sun†

    • *Contact author: yangcp@hznu.edu.cn
    • †Contact author: synan@hznu.edu.cn

    Phys. Rev. A 112, 012428 – Published 28 July, 2025

    DOI: https://doi.org/10.1103/qs8r-kjms

    Abstract

    Entanglement is fundamental to quantum mechanics, and accurate certification of entangled states in a device-independent manner is crucial to the functioning of secure quantum information processing. Previous research on entanglement certification primarily relies on projective measurements, while experimental certification of entangled states based on nonprojective measurements remains an unexplored area. In this work, we experimentally certify the two-qubit maximally entangled state using three-outcome nonprojective measurements in the one-sided device-independent scenario. Based on the maximal violation of steering inequality, we can experimentally self-test both the maximally entangled state and the nonprojective measurements performed by the untrusted party. Furthermore, we also experimentally demonstrate that this approach is highly robust when white noise is introduced into the states and measurements. Our work enables further insight into the quantum state certification with nonprojective measurements.

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