Bounds for Non-Locality Distillation Protocols

TL;DR

This paper introduces a method to efficiently bound the distillable non-locality of quantum resources, providing tighter and more computationally feasible estimates than previous approaches.

Contribution

It presents a novel bounding technique for distillable non-locality using related optimization problems, improving computational efficiency and accuracy.

Findings

Upper bounds are exponentially easier to compute than exact values.

Bounds are meaningful in general cases.

Bounds are tight in some specific cases.

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.