Minimal Scenarios Witnessing Genuine Multipartite Nonlocality Possibilistically
Abstract
We study a strong form of genuine multipartite nonlocality (GMNL), where an n-partite scenario admits a quantum strategy generating outcomes belonging to a restricted set with certainty, whereas every strategy built from nonclassical resources shared among at most k<n parties fails this criterion with positive probability. This generalizes what is referred to as strong contextuality/nonlocality, or pseudotelepathy, beyond ruling out local models. For the simplest five-party Bell scenario of two binary-outcome measurement settings per party, we use the inflation technique to demonstrate that a game with a perfect quantum strategy witnesses a robust separation from models built from bipartite resources under local operations and shared randomness (LOSR), establishing the behavior is LOSR-GMNL. We provide broader context for this result by investigating its simulability with resources shared among three or four parties under different resource models and alternative definitions of GMNL. A central open question is whether n-party quantum resources can achieve such a separation from models built from (n−1)-party resources, for n≥ 3. We make progress here by constructing a family of robustly LOSR-GMNL games with ε-optimal quantum strategies experimentally indistinguishable in the limit from true probability-one-winning strategies for any desired level of precision.
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BibTeX
@misc{patra2026minimal,
title = {{Minimal Scenarios Witnessing Genuine Multipartite Nonlocality Possibilistically}},
author = {Soumyadip Patra and Peter Bierhorst},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.11377},
eprint = {2610.11377},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.11377},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Minimal Scenarios Witnessing Genuine Multipartite Nonlocality Possibilistically
AU - Soumyadip Patra
AU - Peter Bierhorst
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2610.11377
UR - https://arxiv.org/abs/2610.11377
AB - We study a strong form of genuine multipartite nonlocality (GMNL), where an n-partite scenario admits a quantum strategy generating outcomes belonging to a restricted set with certainty, whereas every strategy built from nonclassical resources shared among at most k<n parties fails this criterion with positive probability. This generalizes what is referred to as strong contextuality/nonlocality, or pseudotelepathy, beyond ruling out local models. For the simplest five-party Bell scenario of two binary-outcome measurement settings per party, we use the inflation technique to demonstrate that a game with a perfect quantum strategy witnesses a robust separation from models built from bipartite resources under local operations and shared randomness (LOSR), establishing the behavior is LOSR-GMNL. We provide broader context for this result by investigating its simulability with resources shared among three or four parties under different resource models and alternative definitions of GMNL. A central open question is whether n-party quantum resources can achieve such a separation from models built from (n−1)-party resources, for n≥ 3. We make progress here by constructing a family of robustly LOSR-GMNL games with ε-optimal quantum strategies experimentally indistinguishable in the limit from true probability-one-winning strategies for any desired level of precision.
ER -