Optimal Protocols for Nonlocality Distillation

Abstract

Forster, Winkler, and Wolf recently showed that weak nonlocality can be amplified by giving the first protocol that distills a class of nonlocal boxes (NLBs) [Phys. Rev. Lett. 102, 120401 (2009)]. We first show that their protocol is optimal among all non-adaptive protocols. We next consider adaptive protocols. We show that the depth 2 protocol of Allcock et al. [Phys. Rev. A 80, 062107, (2009)] performs better than previously known adaptive depth 2 protocols for all symmetric NLBs. We present a new depth 3 protocol that extends the known region of distillable NLBs. We give examples of NLBs for which each of Forster et al.'s, Allcock et al.'s, and our protocol performs best. The new understanding we develop is that there is no single optimal protocol for NLB distillation. The choice of which protocol to use depends on the noise parameters for the NLB.

RevTeX4, 6 pages with 4 figures

References in corpus (4)

• A convergent hierarchy of semidefinite programs characterizing the set of quantum correlations
• Non-locality distillation and post-quantum theories with trivial communication complexity
• Recovering part of the quantum boundary from information causality
• Distilling Non-Locality

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• Distilling Nonlocality in Quantum Correlations
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• Nonlocality Distillation and Quantum Voids
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• Multi-User Non-Locality Amplification
• Tight Limits on Nonlocality from Nontrivial Communication Complexity; a.k.a. Reliable Computation with Asymmetric Gate Noise
• Experimental distillation of tripartite quantum steering with an optimal local filtering operation
• Quantum Nonlocal Boxes Exhibit Stronger Distillability
• Multi-system measurements in generalized probabilistic theories and their role in information processing
• Algebra of Nonlocal Boxes and the Collapse of Communication Complexity
• Study of nonlocal correlations in macroscopic measurement scenario
• Trading Permutation Invariance for Communication in Multi-Party Non-Locality Distillation
• Suboptimality of Parity for Distilling Correlations with Nontrivial Marginals
• Non-Locality Distillation is Impossible for Isotropic Quantum Systems
• Threshold (Q, P) Quantum Distillation
• Nonlocality distillation can outperform entanglement distillation