Multipartite fully-nonlocal quantum states

Abstract

We present a general method to characterize the quantum correlations obtained after local measurements on multipartite systems. Sufficient conditions for a quantum system to be fully-nonlocal according to a given partition, as well as being (genuinely) multipartite fully-nonlocal, are derived. These conditions allow us to identify all completely-connected graph states as multipartite fully-nonlocal quantum states. Moreover, we show that this feature can also be observed in mixed states: the tensor product of five copies of the Smolin state, a biseparable and bound entangled state, is multipartite fully-nonlocal.

5 pages, 1 figure. Version published in PRA. Note that it does not contain all the results from the previous version; these will be included in a later, more general, paper

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• Fully nonlocal, monogamous, and random genuinely multipartite quantum correlations
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• Analysing quantum systems with randomised measurements
• Tight upper bound for the maximal quantum value of the Svetlichny operators
• Genuine multipartite nonlocality in the one-dimensional ferromagnetic spin-1/2 chain
• Multipartite Nonlocality as a Resource and Quantum Correlations Having Indefinite Causal Order
• Hierarchy of multipartite nonlocality in the nonsignaling scenario
• Efficient Test to Demonstrate Genuine Three Particle Nonlocality
• Three-particle Bell-like inequalities under Lorentz transformations
• Experimental verification of time-order-dependent correlations in three-qubit Greenberger-Horne-Zeilinger-class states
• Bell inequalities for nonlocality depth
• Coincidence postselection for genuine multipartite nonlocality: Causal diagrams and threshold efficiencies
• Relativistic three-partite non-locality
• Tight upper bound for the maximal expectation value of the $N$-partite generalized Svetlichny operator
• All genuinely entangled stabilizer subspaces are multipartite fully nonlocal
• The Hardy's nonlocality argument
• General spin systems without genuinely multipartite nonlocality
• Unbounded Bell violations for quantum genuine multipartite non-locality
• Local and Nonlocal Contents in N-qubit generalized GHZ states