Bounds for Non-Locality Distillation Protocols
arXiv:1105.1357 · doi:10.1103/PhysRevA.83.062114
Abstract
Non-locality can be quantified by the violation of a Bell inequality. Since this violation may be amplified by local operations an alternative measure has been proposed - distillable non-locality. The alternative measure is difficult to calculate exactly due to the double exponential growth of the parameter space. In this article we give a way to bound the distillable non-locality of a resource by the solutions to a related optimization problem. Our upper bounds are exponentially easier to compute than the exact value and are shown to be meaningful in general and tight in some cases.
8 pages, 3 figures; small changes in introduction and application section due to the exact verification of distillation bounds using a symbolic computation package (Maple 14); added journal ref
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- Distilling Nonlocality in Quantum Correlations
- Nonlocality Distillation and Quantum Voids
- Quantum Nonlocality: Multi-copy Resource Inter-convertibility & Their Asymptotic Inequivalence
- 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
- Suboptimality of Parity for Distilling Correlations with Nontrivial Marginals
- Threshold (Q, P) Quantum Distillation
- Nonlocality distillation can outperform entanglement distillation
- Non-Locality Distillation is Impossible for Isotropic Quantum Systems