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This research establishes a noise-robust, device-independent self-test protocol for genuine multipartite nonlocality under local operations and shared randomness (LOSR). By deriving explicit bounds on state and measurement deviations relative to Bell-score deficits, the work provides a rigorous framework for validating complex quantum correlations without relying on trusted devices. This advancement is critical for scaling quantum networks and verifying security in distributed quantum computing architectures.
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Noise robust self testing from genuine local operation shared randomness multipartite nonlocality Tests

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arXiv:2609.15436v1 Announce Type: new 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 $\epsilon$, we derive explicit $O(\sqrt{\epsilon})$ vector-norm bounds for the state and the corresponding measurement actions.

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 $\epsilon$, we derive explicit $O(\sqrt{\epsilon})$ vector-norm bounds for the state and the corresponding measurement actions.

arXiv:2609.15436 [quant-ph]

(or arXiv:2609.15436v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2609.15436 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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