Experimental three-photon quantum nonlocality under strict locality conditions

Quantum correlations, often observed as violations of Bell inequalities(1-5), are critical to our understanding of the quantum world, with far-reaching technological(6-9) and fundamental impact. Many tests of Bell inequalities have studied pairs of correlated particles. However, interest in multi-particle quantum correlations is driving the experimental frontier to test larger systems. All violations to date require supplementary assumptions that open results to loopholes, the closing of which is one of the most important challenges in quantum science. Seminal experiments have closed some loopholes(10-16), but no experiment has closed locality loopholes with three or more particles. Here, we close both the locality and freedom-of-choice loopholes by distributing three-photon Greenberger-Horne-Zeilinger entangled states(17) to independent observers. We measured a violation of Mermin's inequality(18) with parameter 2.77 +/- 0.08, violating its classical bound by nine standard deviations. These results are a milestone in multi-party quantum communication(19) and a significant advancement of the foundations of quantum mechanics(20).