No Bipartite-Nonlocal Causal Theory Can Explain Nature's Correlations

Abstract

We show that some tripartite quantum correlations are inexplicable by any causal theory involving bipartite nonclassical common causes and unlimited shared randomness. This constitutes a device-independent proof that Nature's nonlocality is fundamentally at least tripartite in every conceivable physical theory - no matter how exotic. To formalize this claim we are compelled to substitute Svetlichny's historical definition of genuine tripartite nonlocality with a novel theory-agnostic definition tied to the framework of Local Operations and Shared Randomness (LOSR). A companion article [PRA. 104, 052207 (2021)] generalizes these concepts to any number of parties, providing experimentally amenable device-independent inequality constraints along with quantum correlations violating them, thereby certifying that Nature's nonlocality must be boundlessly multipartite.

6 pages, 2 figures

References in corpus (13)

• Device-independent security of quantum cryptography against collective attacks
• Beyond Bell's Theorem: Correlation Scenarios
• Bell nonlocality in networks
• Direct generation of three-photon polarization entanglement
• Theory-independent limits on correlations from generalised Bayesian networks
• Dilation of states and processes in operational-probabilistic theories
• Two-Setting Bell Inequalities for Many Qubits
• Any Physical Theory of Nature Must Be Boundlessly Multipartite Nonlocal
• Non-Local Boxes for Networks
• Couplers for Non-Locality Swapping
• Covariance Decomposition as a Universal Limit on Correlations in Networks
• Test to separate quantum theory from non-signaling theories
• Generalizations of Boxworld