Separability criteria for genuine multiparticle entanglement

TL;DR

This paper introduces new separability criteria for detecting genuine multiparticle entanglement, which are necessary and sufficient for some states, outperform existing criteria, and are experimentally feasible.

Contribution

The authors develop a novel method to derive separability criteria that improve detection of multiparticle entanglement, including bound entanglement, with practical experimental implementation.

Findings

Criteria are necessary and sufficient for certain state families.

Criteria outperform all known entanglement criteria for many families.

They enable detection of bound entanglement and are experimentally feasible.

Abstract

We present a method to derive separability criteria for the different classes of multiparticle entanglement, especially genuine multiparticle entanglement. The resulting criteria are necessary and sufficient for certain families of states. Further, the criteria are superior to all known entanglement criteria for many other families; also they allow the detection of bound entanglement. We next demonstrate that they are easily implementable in experiments and discuss applications to the decoherence of multiparticle entangled states.