Noise robust self testing from genuine local operation shared randomness multipartite nonlocality Tests

Abstract

Violation of the $N$-partite inequality introduced in Phys. Rev. Lett. 129, 150401 (2022) for genuine multipartite nonlocality under local operations and shared randomness (LOSR) rules out all causal-network models obtained by locally composing arbitrary resources involving at most $N-1$ parties, even when supplemented by shared randomness among all $N$ parties. Here, we demonstrate a device-independent self-test protocol for this. We further establish an analytic noise-robust self-test. For a Bell-score deficit $ε$, we derive explicit $O(\sqrtε)$ vector-norm bounds for the state and the corresponding measurement actions.