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    Communication scenario enabling semi-device-independent robust self-testing of n-party Greenberger-Horne-Zeilinger basis measurements

    Barnik Bhaumik1, Sagnik Ray1, and Debashis Saha2

    Phys. Rev. A 113, 012407 – Published 2 January, 2026

    DOI: https://doi.org/10.1103/mvmn-fzq7

    Abstract

    Entangled basis measurements play a crucial role in distributing quantum entanglement between parties across a quantum network. In this work we adopt a semi-device-independent approach that enables the self-testing of n-qubit Greenberger-Horne-Zeilinger basis measurements without requiring shared entanglement between distant parties. Our method relies solely on input-output statistics from a communication scenario involving n spatially separated senders, each receiving two bits of input, and a single receiver with no input. We analyze the robustness of the proposed self-testing protocol for n≤7. Additionally, we introduce a protocol for robust self-testing of the three-outcome partial Bell-basis measurement that is easily implementable in an optical setup.

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