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QI: Fachverband Quanteninformation

QI 39: Quantum Foundations

QI 39.2: Vortrag

Freitag, 14. März 2025, 11:15–11:30, HS VIII

Generalizing the Mermin inequality to larger numbers of measurement settings — •Fynn Otto, Carlos de Gois, and Otfried Gühne — Universität Siegen, Germany

Multipartite Bell nonlocality is an important resource for quantum information processing. It is detected by the violation of Bell inequalities and gap between the classical bound and the quantum bound grows exponentially with the number of parties for the Mermin inequality. This inequality is limited to two measurement settings per party. Nevertheless, advantages arise by increasing the number of settings. We present a new class of symmetric Bell inequalities generalizing the Mermin inequality to an arbitrary number of measurement settings. They are maximally violated by the Greenberger-Horne-Zeilinger (GHZ) state and provide a significantly higher noise robustness. We investigate improvements in the required detection efficiency for loophole-free Bell tests and advantages for self-testing the GHZ state. Our results decrease current experimental requirements, e.g. for secure quantum communication and state verification.

Keywords: Bell nonlocality; Self-testing; Multipartite Entanglement; Device-Independent