Test of Genuine Multipartite Nonlocality

Abstract

While Bell nonlocality of a bipartite system is counter-intuitive, multipartite nonlocality in our many-body world turns out to be even more so. Recent theoretical study reveals in a theory-agnostic manner that genuine multipartite nonlocal correlations cannot be explained by any causal theory involving fewer-partite nonclassical resources and global shared randomness. Here we provide a Bell-type inequality as a test for genuine multipartite nonlocality in network by exploiting a matrix representation of the causal structure of a multipartite system. We further present experimental demonstrations that both four-photon GHZ state and generalized four-photon GHZ state significantly violate the inequality, i.e., the observed four-partite correlations resist explanations involving three-way nonlocal resources subject to local operations and common shared randomenss, hence confirming that nature is boundless multipartite nonlocal.

References in corpus (18)

• The Quantum Internet
• Device-independent security of quantum cryptography against collective attacks
• Nonlinear atom interferometer surpasses classical precision limit
• Realization of a multi-node quantum network of remote solid-state qubits
• Private Randomness Expansion With Untrusted Devices
• Certified randomness in quantum physics
• Bell nonlocality in networks
• 68 Gbps quantum random number generation by measuring laser phase fluctuations
• Testing real quantum theory in an optical quantum network
• Extremal correlations of the tripartite no-signaling polytope
• Randomness generation based on spontaneous emissions of lasers
• Single-photon nonlocality in quantum networks
• Any Physical Theory of Nature Must Be Boundlessly Multipartite Nonlocal
• Non-Local Boxes for Networks
• Experimental Demonstration that No Tripartite-Nonlocal Causal Theory Explains Nature's Correlations
• Covariance Decomposition as a Universal Limit on Correlations in Networks
• Ruling out Bipartite Nonsignaling Nonlocal Models for Tripartite Correlations
• Quantum Bell Nonlocality is Entanglement

Cited by in corpus (17)

• Experimental Demonstration that No Tripartite-Nonlocal Causal Theory Explains Nature's Correlations
• No graph state is preparable in quantum networks with bipartite sources and no classical communication
• Characterizing arbitrary quantum networks in the noisy intermediate-scale quantum era
• A Hierarchy of Multipartite Nonlocality and Device-Independent Effect Witnesses
• Verification of Bell Nonlocality by Violating Quantum Monogamy Relations
• Quantum network-entanglement measures
• Tight upper bound for the maximal expectation value of the $N$-partite generalized Svetlichny operator
• Probing many-body Bell correlation depth with superconducting qubits
• General spin systems without genuinely multipartite nonlocality
• Guarantees on the structure of experimental quantum networks
• Testing the necessity of complex numbers in traditional quantum theory with quantum computers
• The genuinely multipartite nonlocality of graph states is model-dependent
• Strength of statistical evidence for genuine tripartite nonlocality
• Bounds on Multipartite Nonlocality via Reduction to Biased Nonlocality
• Consistency and Causality of Interconnected Nonsignaling Resources
• Detection of the genuine non-locality of any three-qubit state
• Testing Genuine Multipartite Nonlocality via an Inflated Network with Multi-copy Entangled States