Multipartite nonlocality and random measurements

Abstract

We present an exhaustive numerical analysis of violations of local realism by families of multipartite quantum states. As an indicator of nonclassicality we employ the probability of violation for randomly sampled observables. Surprisingly, it rapidly increases with the number of parties or settings and even for relatively small values local realism is violated for almost all observables. We have observed this effect to be typical in the sense that it emerged for all investigated states including some with randomly drawn coefficients. We also present the probability of violation as a witness of genuine multipartite entanglement.

arXiv comment8 pages, 2 figures, 3 tables, journal version

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• Quantifying Bell non-locality with the trace distance
• Multipartite Entanglement Analysis From Random Correlations
• Characterizing entanglement dimensionality from randomized measurements
• Analysing quantum systems with randomised measurements
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• Tripartite realism-based quantum nonlocality
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• Bell inequality violations with random mutually unbiased bases
• Multi-point nonequilibrium umbrella sampling and associated fluctuation relations
• Device-independent secret key rates via a post-selected Bell inequality
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• Typicality of Contextuality