Nonlocality Distillation and Quantum Voids
arXiv:1903.09289 · doi:10.1103/PhysRevA.100.012102
Abstract
Via nonlocality distillation, a number of copies of a given nonlocal correlation can be turned into a new correlation displaying a higher degree of nonlocality. Apart from its clear relevance in situations where nonlocality is a resource, distillation protocols also play an important role in the understanding of information-theoretical principles for quantum theory. Here, we derive a necessary condition for nonlocality distillation from two copies and apply it, among other results, to show that D and D quantum voids --faces of the nonlocal simplex set with no quantum realization-- can be distilled up to PR-boxes. With that, we generalize previous results in the literature. For instance, showing a broad class of post-quantum correlations that make communication complexity trivial and violate the information causality principle.
10 pages, 3 figures, all comments are welcome
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- Distilling Nonlocality in Quantum Correlations
- Advantages of multi-copy nonlocality distillation and its application to minimizing communication complexity
- Activating Strongest Possible Nonlocality from Local Sets: An Elimination Paradigm
- Quantum Nonlocality: Multi-copy Resource Inter-convertibility & Their Asymptotic Inequivalence
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- Algebra of Nonlocal Boxes and the Collapse of Communication Complexity
- Device Independent Quantum Key Activation
- (Almost-)Quantum Bell Inequalities and Device-Independent Applications