How can one prove that a given quantum state is entangled? In this paper we review
different methods that have been proposed for entanglement detection. We first explain the …

Entanglement detection typically relies on linear inequalities for mean values of certain
observables (entanglement witnesses), where violation indicates entanglement. We provide …

We present entanglement witness operators for detecting genuine multipartite
entanglement. These witnesses are robust against noise and require only two local …

Basing on positive maps separability criterion we propose the experimentally viable, direct
detection of quantum entanglement. It is efficient and does not require any a priori …

We review the criteria for separability and quantum entanglement, both in a bipartite as well
as a multipartite setting. We discuss Bell inequalities, entanglement witnesses, entropic …

It is well known that the violation of Bell's inequality in the form given by Clauser, Horne,
Shimony, and Holt (CHSH) in two-qubit systems requires entanglement, but not vice versa …

We present conditions every measure of entanglement has to satisfy, and construct a whole
class of “good” entanglement measures. The generalization of our class of entanglement …

We determine the complete set of generalized spin squeezing inequalities. These are
entanglement criteria that can be used for the experimental detection of entanglement in a …

Entanglement witnesses provide tools to detect entanglement in experimental situations
without the need of having full tomographic knowledge about the state. If one estimates in an …

We give an overview of different types of entanglement that can be generated in
experiments, as well as of various protocols that can be used to verify or quantify …