title: Device-independent entanglement quantification and related applications.
abstract: We present a general method to quantify both bipartite and multipartite entanglement in a device-independent manner, meaning that we put a lower bound on the amount of entanglement present in a system based on the observed data only but independent of any quantum description of the employed devices. Some of the bounds we obtain, such as for the Clauser-Horne-Shimony-Holt Bell inequality or the Svetlichny inequality, are shown to be tight. Besides, device-independent entanglement quantification can serve as a basis for numerous tasks. We show in particular that our method provides a rigorous way to construct dimension witnesses, gives new insights into the question whether bound entangled states can violate a Bell inequality, and can be used to construct device-independent entanglement witnesses involving an arbitrary number of parties.
authors.affiliation: Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Strasse 3, D-57068 Siegen, Germany.
authors.forename: Tobias
authors.initials: T
authors.lastname: Moroder
authors.forename: Jean-Daniel
authors.initials: JD
authors.lastname: Bancal
authors.forename: Yeong-Cherng
authors.initials: YC
authors.lastname: Liang
authors.forename: Martin
authors.initials: M
authors.lastname: Hofmann
authors.forename: Otfried
authors.initials: O
authors.lastname: Gühne