Explicit support and gauge functions characterize the correlation sets in the (2,m,2) Bell scenario for three state spaces, yielding optimal witnesses for entanglement and beyond-quantum correlations with noise robustness thresholds.
Masanes, Necessary and sufficient condition for quantum-generated correlations (2003), arXiv:quant-ph/0309137 [quant-ph]
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abstract
We present a non-linear inequality that completely characterizes the set of correlation functions obtained from bipartite quantum systems, for the case in which measurements on each subsystem can be chosen between two arbitrary dichotomic observables. This necessary and sufficient condition is the maximal strengthening of Cirel'son's bound.
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UNVERDICTED 2representative citing papers
The 'no disturbance without uncertainty' principle constrains non-signaling correlations to recover quantum ones in cases including Tsirelson's bound, tight bounds on noisy super-nonlocal boxes, and exclusion of certain almost-quantum correlations.
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Dualistic operational characterization of device-dependent correlation sets via convex analysis in the $(2,m,2)$ Bell scenario
Explicit support and gauge functions characterize the correlation sets in the (2,m,2) Bell scenario for three state spaces, yielding optimal witnesses for entanglement and beyond-quantum correlations with noise robustness thresholds.
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No Disturbance Without Uncertainty as a Physical Principle
The 'no disturbance without uncertainty' principle constrains non-signaling correlations to recover quantum ones in cases including Tsirelson's bound, tight bounds on noisy super-nonlocal boxes, and exclusion of certain almost-quantum correlations.