Bound non-locality and activation

TL;DR

This paper explores the concept of bound non-locality, showing that certain correlations exhibit irreversibility in non-locality distillation and can have their non-locality activated, advancing understanding of quantum non-local correlations.

Contribution

It introduces the notion of bound non-locality, demonstrating irreversibility in non-locality distillation and the activation of non-locality in quantum correlations.

Findings

Existence of correlations with distillable non-locality less than non-local cost

Bound non-locality as a form of irreversibility in non-locality

Non-local distillability can be activated

Abstract

We investigate non-locality distillation using measures of non-locality based on the Elitzur-Popescu-Rohrlich decomposition. For a certain number of copies of a given non-local correlation, we define two quantities of interest: (i) the non-local cost, and (ii) the distillable non-locality. We find that there exist correlations whose distillable non-locality is strictly smaller than their non-local cost. Thus non-locality displays a form of irreversibility which we term bound non-locality. Finally we show that non-local distillability can be activated.