Multipartite entanglement detection via structure factors

TL;DR

This paper introduces a novel method to detect multipartite entanglement in many-body systems using structure factors, linking scattering measurements to entanglement witnesses that are robust against noise.

Contribution

It provides a general analytical framework for constructing entanglement witnesses based on structure factors, applicable through scattering or local measurements.

Findings

Entanglement witnesses based on structure factors can detect multipartite entanglement.

The proposed witnesses are adaptable to different physical systems and measurement methods.

Robustness of witnesses against noise is analyzed, showing practical applicability.

Abstract

We establish a relation between entanglement of a many-body system and its diffractive properties, where the link is given by structure factors. Based on these, we provide a general analytical construction of multi-qubit entanglement witnesses. The proposed witnesses contain two-point correlations. They could be either measured in a scattering experiment or via local measurements, depending on the underlying physical system. For some explicit examples of witnesses we analyze the properties of the states that are detected by them. We further study the robustness of these witnesses with respect to noise.