title: Entanglement and Nonlocality are Inequivalent for Any Number of Parties.
abstract: Understanding the relation between nonlocality and entanglement is one of the fundamental problems in quantum physics. In the bipartite case, it is known that these two phenomena are inequivalent, as there exist entangled states of two parties that do not violate any Bell inequality. However, except for a single example of an entangled three-qubit state that has a local model, almost nothing is known about such a relation in multipartite systems. We provide a general construction of genuinely multipartite entangled states that do not display genuinely multipartite nonlocality, thus proving that entanglement and nonlocality are inequivalent for any number of parties.
authors.affiliation: ICFO-Institut de Ciencies Fotoniques, 08860 Castelldefels (Barcelona), Spain.
authors.forename: R
authors.initials: R
authors.lastname: Augusiak
authors.affiliation: ICFO-Institut de Ciencies Fotoniques, 08860 Castelldefels (Barcelona), Spain.
authors.forename: M
authors.initials: M
authors.lastname: Demianowicz
authors.affiliation: ICFO-Institut de Ciencies Fotoniques, 08860 Castelldefels (Barcelona), Spain.
authors.forename: J
authors.initials: J
authors.lastname: Tura
authors.affiliation: ICFO-Institut de Ciencies Fotoniques, 08860 Castelldefels (Barcelona), Spain.|ICREA-Institucio Catalana de Recerca i Estudis Avançats, Lluis Companys 23, 08010 Barcelona, Spain.
authors.forename: A
authors.initials: A
authors.lastname: Acín