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    Sequential Sharing of Quantum Nonlocality via Projective Measurements

    Bingzi Huo1, Kunkun Wang2, Dengke Qu3, Junjing Xing4, Xiang Zhan3, Xiaojian Huang1, Huixia Gao3, Lei Xiao3, and Peng Xue1,*

    • *Contact author: gnep.eux@gmail.com

    Phys. Rev. Lett. 136, 100201 – Published 11 March, 2026

    DOI: https://doi.org/10.1103/t57m-xslz

    Abstract

    Sequential sharing of quantum nonlocality enables multiparty collaborative information processing, which is typically realized through unsharp measurements in previous studies. By contrast, we experimentally demonstrate that the sequential sharing of quantum nonlocality can be observed using only projective measurements, with the introduction of classical randomness. We achieve sequential violations of the Clauser-Horne-Shimony-Holt inequality in a bipartite quantum system by sharing classical randomness or using a probabilistic projective measurement. Extending the first protocol to a tripartite quantum system, sequential tripartite nonlocality is observed with the Greenberger-Horne-Zeilinger state, where violations of the Mermin inequality are observed in sequential measurements. We experimentally demonstrate these phenomena through the preparation and measurement of a three-photon entangled state. Our work reveals the key role of projective measurements in the sequential sharing of quantum nonlocality, providing a new experimental complement for measuring quantum nonlocality and opening new technological pathways for distributed utilization nonlocality in quantum networks.

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