Fully nonlocal, monogamous, and random genuinely multipartite quantum correlations

Abstract

Local measurements on bipartite maximally entangled states can yield correlations that are maximally nonlocal, monogamous, and associated to fully random outcomes. This makes these states ideal for bipartite cryptographic tasks. Genuine-multipartite nonlocality constitutes a stronger notion of nonlocality that appears in the multipartite case. Maximal genuine-multipartite nonlocality, monogamy and full random outcomes are thus highly desired properties for multipartite correlations in intrinsically genuine-multipartite cryptographic scenarios. We prove that local measurements on Greenberger-Horne-Zeilinger states, for all local dimension and number of parts, can produce correlations that are fully genuine-multipartite nonlocal, monogamous and with fully random outcomes. A key ingredient in our proof is a multipartite chained Bell inequality detecting genuine-multipartite nonlocality, which we introduce. Finally, we discuss the applications of our results for intrinsically genuine-multipartite cryptographic protocols such as device-independent secret sharing.

5 + 2 and 1/2 pages. To appear in PRL

References in corpus (3)

• Device-independent security of quantum cryptography against collective attacks
• Private Randomness Expansion With Untrusted Devices
• Hidden variable models for quantum theory cannot have any local part

Cited by in corpus (43)

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• Open-System Dynamics of Entanglement
• Detecting non-locality in multipartite quantum systems with two-body correlation functions
• Nonlocality in many-body quantum systems detected with two-body correlators
• Towards device-independent information processing on general quantum networks
• Genuine multipartite nonlocality is intrinsic to quantum networks
• Causal hierarchy of multipartite Bell nonlocality
• Maximally nonlocal theories cannot be maximally random
• Device-Independent Secret Sharing and a Stronger Form of Bell Nonlocality
• Elemental and tight monogamy relations in nonsignalling theories
• Multipartite quantum nonlocality under local decoherence
• Role of thermal noise in tripartite quantum steering
• Quantifying multipartite nonlocality via the size of the resource
• Test of Genuine Multipartite Nonlocality
• Randomness versus nonlocality in the Mermin-Bell experiment with three parties
• Anonymous Quantum Nonlocality
• Exponentially decreasing critical detection efficiency for any Bell inequality
• Nonlocality and Entanglement for Symmetric States
• Complementarity between Tripartite Quantum Correlation and Bipartite Bell Inequality Violation in Three Qubit States
• Activation of monogamy in non-locality using local contextuality
• Quantum probabilistic sampling of multipartite 60-qubit Bell inequality violations
• Bell inequalities tailored to the Greenberger-Horne-Zeilinger states of arbitrary local dimension
• Closing the detection loophole in multipartite Bell tests using GHZ states
• Non-signaling Causal Hierarchy of General Multisource Networks
• Trade-offs in multi-party Bell inequality violations in qubit networks
• Simplest bipartite perfect quantum strategies
• Genuine multipartite correlations in Dicke Superradiance
• Necessary and sufficient conditions for multipartite Bell violations with only one trusted device
• The sum of entanglement and subsystem coherence is invariant under quantum reference frame transformations
• Verification of Bell Nonlocality by Violating Quantum Monogamy Relations
• Unmasking the Polygamous Nature of Quantum Nonlocality
• Deriving three-outcome permutationally invariant Bell inequalities
• Simple and tight monogamy relations for a class of Bell inequalities
• Restrictions on shareability of classical correlations for random multipartite quantum states
• Beating the Clauser-Horne-Shimony-Holt and the Svetlichny games with Optimal States
• Genuine monogamy relations in no-signaling theories - a geometric approach
• Minimum Detection Efficiencies for Loophole-free Genuine Nonlocality Tests
• All genuinely entangled stabilizer subspaces are multipartite fully nonlocal
• Single Bell inequality to detect genuine nonlocality in three-qubit genuinely entangled states
• How Likely Are You to Observe Non-locality with Imperfect Detection Efficiency and Random Measurement Settings?
• Conditional steering under von-Neumann scenario
• Robust Tripartite Entanglement Generation via Correlated Noise in Spin Qubits
• No-cost Bell nonlocality certification from quantum tomography and its applications in quantum-magic-resource witnessing