Revealing Hidden Genuine Tripartite Nonlocality

Abstract

Nonlocal correlations arising from measurements on tripartite entangled states can be classified into two groups, one genuinely $3-$way nonlocal and other local with respect to some bipartition. Still, whether a genuinely tripartite entangled quantum state can exhibit genuine $3-$way nonlocality, remains a challenging problem so far as measurement context is concerned. Here we introduce a novel approach in this regard. We consider three tripartite quantum states none of which is genuinely $3-$way nonlocal in a specific Bell scenario (three parties, two measurements per party, two outcomes per measurement), but they can exhibit genuine $3-$way nonlocality when the initial states are subjected to stochastic local operations and classical communication (SLOCC). So, genuine $3-$way nonlocality is a resource, which can be revealed by using a sequence of measurements.

10 pages, 2 figures, revtex, comments welcome

References in corpus (14)

• Entanglement detection
• Device-independent security of quantum cryptography against collective attacks
• Measure of genuine multipartite entanglement with computable lower bounds
• Direct generation of three-photon polarization entanglement
• Genuinely Multipartite Concurrence of N-qubit X-matrices
• All bipartite entangled states display some hidden nonlocality
• Experimental violation of Svetlichny's inequality
• Noise robustness of the nonlocality of entangled quantum states
• Local hidden--variable models for entangled quantum states
• All quantum states useful for teleportation are nonlocal resources
• Bound non-locality and activation
• Better Bell Inequality Violation by Collective Measurements
• Nonlocality activation in entanglement swapping chains
• Violation of Clauser-Horne-Shimony-Holt inequality for states resulting from entanglement swapping

Cited by in corpus (7)

• Tripartite entanglement: Foundations and applications
• Super-Activation of Quantum Steering
• Apparent temperature: demystifying the relation between quantum coherence, correlations, and heat flows
• Energetic and entropic effects of bath-induced coherences
• Persistency of non-n-local correlations in noisy linear networks
• Hidden Non n-locality In Linear Networks
• Hidden Steering Nonlocality in Quantum Networks