Any Physical Theory of Nature Must Be Boundlessly Multipartite Nonlocal

Abstract

We introduce the class of Genuinely Local Operation and Shared Randomness (LOSR) Multipartite Nonlocal correlations, that is, correlations between N parties that cannot be obtained from unlimited shared randomness supplemented by any composition of (N-1)-shared causal Generalized-Probabilistic-Theory (GPT) resources. We then show that noisy N-partite GHZ quantum states as well as the 3-partite W quantum state can produce such correlations. This proves, if the operational predictions of quantum theory are correct, that Nature's nonlocality must be boundlessly multipartite in any causal GPT. We develop a computational method which certifies that a noisy N=3 GHZ quantum state with fidelity 85 percent satisfies this property, making an experimental demonstration of our results within reach. We motivate our definition and contrast it with preexisting notions of genuine multipartite nonlocality. This work extends a more compact parallel letter [Phys. Rev. Lett. 127, 200401 (2021)] on the same subject and provides all the required technical proofs.

17 pages, 7 figures

References in corpus (12)

• 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
• Extremal correlations of the tripartite no-signaling polytope
• Dilation of states and processes in operational-probabilistic theories
• Quantifying multipartite nonlocality via the size of the resource
• Non-Local Boxes for Networks
• Couplers for Non-Locality Swapping
• Covariance Decomposition as a Universal Limit on Correlations in Networks
• Generalizations of Boxworld
• Test to separate quantum theory from non-signaling theories

Cited by in corpus (10)

• Bell nonlocality in networks
• Full network nonlocality
• Proofs of network quantum nonlocality in continuous families of distributions
• Test of Genuine Multipartite Nonlocality
• Experimental Demonstration that No Tripartite-Nonlocal Causal Theory Explains Nature's Correlations
• Experimental demonstration of genuine tripartite nonlocality under strict locality conditions
• No graph state is preparable in quantum networks with bipartite sources and no classical communication
• A Hierarchy of Multipartite Nonlocality and Device-Independent Effect Witnesses
• Characterizing arbitrary quantum networks in the noisy intermediate-scale quantum era
• No Bipartite-Nonlocal Causal Theory Can Explain Nature's Correlations