Channels breaking EBI contextuality break CHSH nonlocality but the reverse fails; depolarizing channels breaking N-wise incompatibility break a generalized contextuality witness.
Gisin, Bell inequalities: many questions, a few answers (2007), arXiv:quant-ph/0702021 [quant-ph]
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The Svetlichny Bell operator yields stronger lower bounds on GHZ-state fidelity than the MABK operator under noisy statistics.
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Connection between the contextuality breaking and incompatibility breaking qubit channels
Channels breaking EBI contextuality break CHSH nonlocality but the reverse fails; depolarizing channels breaking N-wise incompatibility break a generalized contextuality witness.
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Probing the robustness of various self-testing protocols for mulipartite entangled states
The Svetlichny Bell operator yields stronger lower bounds on GHZ-state fidelity than the MABK operator under noisy statistics.