Extending the Known Region of Nonlocal Boxes that Collapse Communication Complexity

Abstract

Non-signalling boxes (NS) are theoretical resources defined by the principle of no-faster-than-light communication. They generalize quantum correlations, and some of them are known to collapse communication complexity (CC). However, this collapse is strongly believed to be unachievable in Nature, so its study provides intuition on which theories are unrealistic. In the present letter, we find a better sufficient condition for a nonlocal box to collapse CC, thus extending the known collapsing region. In some slices of NS, we show this condition coincides with an area outside of an ellipse.

5 pages, 4 figures

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• Almost quantum correlations
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• Distilling Non-Locality
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Cited by in corpus (5)

• Scalable & Noise-Robust Communication Advantage of Multipartite Quantum Entanglement
• Monogamy of Nonlocal Games
• Algebra of Nonlocal Boxes and the Collapse of Communication Complexity
• (Almost-)Quantum Bell Inequalities and Device-Independent Applications
• Suboptimality of Parity for Distilling Correlations with Nontrivial Marginals