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    Complete Self-Testing of a System of Remote Superconducting Qubits

    Simon Storz1,2,*, Anatoly Kulikov1,2, Josua D. Schär1,2, Victor Barizien3, Xavier Valcarce3, Florence Berterottière1,2, Nicolas Sangouard3, Jean-Daniel Bancal3, and Andreas Wallraff1,2

    • *Contact author: simon.storz@phys.ethz.ch

    Phys. Rev. Lett. 135, 030801 – Published 15 July, 2025

    DOI: https://doi.org/10.1103/nv7d-k3wr

    Abstract

    Self-testing protocols enable the certification of quantum systems in a device-independent manner, i.e., without knowledge of the inner workings of the quantum devices under test. Here, we demonstrate this high standard for characterization routines with superconducting circuits, a prime platform for building large-scale quantum computing systems. We first develop the missing theory allowing for the self-testing of Pauli measurements. We then self-test Bell pair generation and measurements at the same time, performing a complete self-test in a system composed of two entangled superconducting circuits operated at a separation of 30 m. In an experiment based on 17 million trials, we measure an average CHSH (Clauser-Horne-Shimony-Holt) S value of 2.236. Without relying on additional assumptions on the experimental setup, we certify an average Bell state fidelity of at least 58.9% and an average measurement fidelity of at least 89.5% in a device-independent manner, both with 99% confidence. This enables applications in the field of distributed quantum computing and communication with superconducting circuits, such as delegated quantum computing.

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