Detecting entanglement

A brief review of the concept of entanglement for bipartite and multipartite quantum systems, and an introduction to the general framework of entanglement detection, will be initially given.
Then a recently proposed method to detect entanglement in multipartite systems based on the notion of structure factors will be presented. The concept of structure factors will be briefly introduced and, in particular, a relation between entanglement of a many-body system and its diffractive properties, where the link is given by structure factors, will be shown. Such a method allows to detect multiqubit entanglement via two-point correlations and can be implmented either in a scattering experiment or via local measurements, depending on the underlying physical system. Some explicit examples of states that can be detected in this way and a discussion of possible applications will be finally given.