Bounds for Non-Locality Distillation Protocols

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.Comment: 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 re