Completing the proof of "Generic quantum nonlocality"

TL;DR

This paper addresses a gap in a 1992 proof that all pure entangled multiparticle quantum states violate Bell inequalities, providing a construction to complete the proof and demonstrate how two-particle entanglement can be generated from multiparticle states.

Contribution

It identifies a gap in the original proof and offers a new construction to fully establish that all pure entangled multiparticle states violate Bell inequalities.

Findings

The original proof had a gap that needed addressing.

A new construction demonstrates how to generate two-particle entanglement from multiparticle states.

All results from the original paper can be rigorously proven with this method.

Abstract

In a paper by Popescu and Rohrlich [Phys. Lett. A 166, 293 (1992)] a proof has been presented showing that any pure entangled multiparticle quantum state violates some Bell inequality. We point out a gap in this proof, but we also give a construction to close this gap. It turns out that with some extra effort all the results from the aforementioned publication can be proven. Our construction shows how two-particle entanglement can be generated via performing local projections on a multiparticle state.