Isotropic non-locality cannot be distilled

TL;DR

This paper proves that non-locality cannot be distilled from isotropic correlations, resolving a long-standing open problem in quantum information theory.

Contribution

It provides a complete proof that isotropic non-local correlations cannot be distilled, a problem previously only partially understood.

Findings

Non-locality distillation is impossible for all isotropic correlations.

The result applies to the hardest instances respecting distillability.

This resolves a major open question in the field.

Abstract

We investigate non-locality distillation protocols for isotropic correlations. These correlations are the hardest instances which respect to distillability and only partial results are known about their behaviour under non-locality distillation protocols. We completely resolve this issue by proving that non-locality distillation is impossible for all non-local isotropic correlations.