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