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 (60)

• Quantum Cryptography
• The Quantum Internet
• Experimental loophole-free violation of a Bell inequality using entangled electron spins separated by 1.3 km
• Bell nonlocality
• Device-independent security of quantum cryptography against collective attacks
• Significant-loophole-free test of Bell's theorem with entangled photons
• A strong loophole-free test of local realism
• Nonlinear atom interferometer surpasses classical precision limit
• Satellite-relayed intercontinental quantum network
• Realization of a multi-node quantum network of remote solid-state qubits
• Distributed Quantum Computation over Noisy Channels
• Contextuality supplies the magic for quantum computation
• Experimental Four-photon Entanglement and High-fidelity Teleportation
• Event-Ready Bell Test Using Entangled Atoms Simultaneously Closing Detection and Locality Loopholes
• A quantum access network
• Private Randomness Expansion With Untrusted Devices
• Certified randomness in quantum physics
• Characterizing the nonlocal correlations of particles that never interacted
• Bilocal versus non-bilocal correlations in entanglement swapping experiments
• Device independent quantum random number generation
• All Entangled Quantum States Are Nonlocal
• Postprocessing for quantum random number generators: entropy evaluation and randomness extraction
• The definition of multipartite nonlocality
• Entanglement with Negative Wigner Function of Three Thousand Atoms Heralded by One Photon
• Ultrafast quantum random number generation based on quantum phase fluctuations
• Bell nonlocality in networks
• Detecting non-locality in multipartite quantum systems with two-body correlation functions
• An operational framework for nonlocality
• Genuine quantum nonlocality in the triangle network
• Three-qubit pure-state canonical forms
• 68 Gbps quantum random number generation by measuring laser phase fluctuations
• Quantum networks reveal quantum nonlocality
• Testing real quantum theory in an optical quantum network
• The Inflation Technique for Causal Inference with Latent Variables
• Genuine Network Multipartite Entanglement
• Extremal correlations of the tripartite no-signaling polytope
• Testing Local Realism into the Past without Detection and Locality Loopholes
• All entangled pure quantum states violate the bilocality inequality
• Quantifying Bell: the Resource Theory of Nonclassicality of Common-Cause Boxes
• Constraints on nonlocality in networks from no-signaling and independence
• Genuine multipartite nonlocality is intrinsic to quantum networks
• A neural network oracle for quantum nonlocality problems in networks
• Quantum Inflation: A General Approach to Quantum Causal Compatibility
• Fully nonlocal, monogamous, and random genuinely multipartite quantum correlations
• The type-independent resource theory of local operations and shared randomness
• Experimental demonstration of nonbilocality with truly independent sources and strict locality constraints
• Randomness generation based on spontaneous emissions of lasers
• Correlations in star networks: from Bell inequalities to network inequalities
• Test of Genuine Multipartite Nonlocality Without Inequality
• Measurement-device-independent entanglement and randomness estimation in quantum networks
• Single-photon nonlocality in quantum networks
• The Inflation Technique Completely Solves the Causal Compatibility Problem
• Energy as a detector of nonlocality of many-body spin systems
• 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
• Nonlocality as a Benchmark for Universal Quantum Computation in Ising Anyon Topological Quantum Computers
• 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