Genuinely multipartite entangled quantum states with fully local hidden variable models and hidden multipartite nonlocality

Abstract

The relation between entanglement and nonlocality is discussed in the case of multipartite quantum systems. We show that, for any number of parties, there exist genuinely multipartite entangled states which admit a fully local hidden variable model, i.e. where all parties are separated. Hence, although these states are entangled in the strongest possible sense, they cannot lead to Bell inequality violation considering general non-sequential local measurements. Then, we show that the nonlocality of these states can nevertheless be activated using sequences of local measurements, thus revealing genuine multipartite hidden nonlocality.

4 pages + appendix. 1 Figure

References in corpus (9)

• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Measure of genuine multipartite entanglement with computable lower bounds
• Detection of entanglement in asymmetric quantum networks and multipartite quantum steering
• Genuinely Multipartite Concurrence of N-qubit X-matrices
• All bipartite entangled states display some hidden nonlocality
• Sufficient criterion for guaranteeing that a two-qubit state is unsteerable
• Einstein-Podolsky-Rosen steering and the steering ellipsoid
• Local hidden--variable models for entangled quantum states
• All quantum states useful for teleportation are nonlocal resources

Cited by in corpus (38)

• Quantum steering: a review with focus on semidefinite programming
• Self-testing of quantum systems: a review
• Better local hidden variable models for two-qubit Werner states and an upper bound on the Grothendieck constant $K_G(3)$
• General method for constructing local-hidden-variable models for entangled quantum states
• Exploration quantum steering, nonlocality and entanglement of two-qubit X-state in structured reservoirs
• Genuine multipartite nonlocality is intrinsic to quantum networks
• Entanglement without hidden nonlocality
• Super-Activation of Quantum Steering
• Maximum nonlocality in the (3,2,2) scenario
• Semi-device-independent characterisation of multipartite entangled states and measurements
• Unified picture for spatial, temporal and channel steering
• Understanding the interplay of entanglement and nonlocality: motivating and developing a new branch of entanglement theory
• Towards an equivalence between maximal entanglement and maximal quantum nonlocality
• Does a large quantum Fisher information imply Bell correlations?
• How the relativistic motion affects Einstein-Podolsky-Rosen steering
• Algorithmic construction of local models for entangled quantum states: optimization for two-qubit states
• Asymptotic survival of genuine multipartite entanglement in noisy quantum networks depends on the topology
• Bell correlations at finite temperature
• Fundamental limitations on the device-independent quantum conference key agreement
• Nonlocality of three-qubit Greenberger-Horne-Zeilinger-symmetric states
• Genuine multipartite nonlocality in the one-dimensional ferromagnetic spin-1/2 chain
• Optimal tests of genuine multipartite nonlocality
• Single-copy activation of Bell nonlocality via broadcasting of quantum states
• Nonlocality activation in a photonic quantum network
• More Nonlocality with Less Entanglement in CHSH Experiments using Inefficient Detectors
• Classical-hidden-variable description for entanglement dynamics of two-qubit pure states
• Locality of three-qubit Greenberger-Horne-Zeilinger-symmetric states
• Algebraic Probability-Theoretic Characterization of Quantum Correlations
• Multipartite States under Elementary Local Operations
• Undetectable Werner states using linear Bell inequalities
• Discovering Local Hidden-Variable Models for Arbitrary Multipartite Entangled States and Arbitrary Measurements
• All genuinely entangled stabilizer subspaces are multipartite fully nonlocal
• Minimal scenario facet Bell inequalities for multi-qubit states
• Single Bell inequality to detect genuine nonlocality in three-qubit genuinely entangled states
• Particles as superoscillations of spacetime with a nonlocal metric?
• Catalytic Activation of Bell Nonlocality
• Multipartite entanglement classes of a multiport beam-splitter
• Constructing local models for general measurements on bosonic Gaussian states