Nonlocality transitivity exists for quantum states, shown by explicit constructions using Bell-inequality tensoring and occurring in Haar-random three-qutrit states.
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The minimal distance of a correlation to the local set lower-bounds the minimal distance of the state to the separable set, yielding bounds on entanglement measures from arbitrary nonlocal correlations in general Bell scenarios.
Penalized N-product Bell inequalities allow the critical detection efficiency for any original Bell inequality to decay exponentially with N by parallelizing N tests across orthogonal subspaces.
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Nonlocality of Quantum States can be Transitive
Nonlocality transitivity exists for quantum states, shown by explicit constructions using Bell-inequality tensoring and occurring in Haar-random three-qutrit states.
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Lower-bounding entanglement with nonlocality in a general Bell's scenario
The minimal distance of a correlation to the local set lower-bounds the minimal distance of the state to the separable set, yielding bounds on entanglement measures from arbitrary nonlocal correlations in general Bell scenarios.
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Exponentially decreasing critical detection efficiency for any Bell inequality
Penalized N-product Bell inequalities allow the critical detection efficiency for any original Bell inequality to decay exponentially with N by parallelizing N tests across orthogonal subspaces.