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PreprintCC BY 4.0arXiv

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(√ε) vector-norm bounds for the state and the corresponding measurement actions.

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BibTeX
@misc{kanjilal2026noise,
  title = {{Noise robust self testing from genuine local operation shared randomness multipartite nonlocality Tests}},
  author = {Som Kanjilal},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.15436},
  eprint = {2609.15436},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.15436},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Noise robust self testing from genuine local operation shared randomness multipartite nonlocality Tests
AU  - Som Kanjilal
PY  - 2026
DA  - 2026/09/14
PB  - arXiv
DO  - 10.48550/arxiv.2609.15436
UR  - https://arxiv.org/abs/2609.15436
AB  - 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(√ε) vector-norm bounds for the state and the corresponding measurement actions.
ER  -