title: Typical local measurements in generalized probabilistic theories: emergence of quantum bipartite correlations.
abstract: What singles out quantum mechanics as the fundamental theory of nature? Here we study local measurements in generalized probabilistic theories (GPTs) and investigate how observational limitations affect the production of correlations. We find that if only a subset of typical local measurements can be made then all the bipartite correlations produced in a GPT can be simulated to a high degree of accuracy by quantum mechanics. Our result makes use of a generalization of Dvoretzky's theorem for GPTs. The tripartite correlations can go beyond those exhibited by quantum mechanics, however.
authors.affiliation: Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, 57068 Siegen, Germany.
authors.forename: Matthias
authors.initials: M
authors.lastname: Kleinmann
authors.affiliation: Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstraße 2, 30167 Hannover, Germany.
authors.forename: Tobias J
authors.initials: TJ
authors.lastname: Osborne
authors.affiliation: Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstraße 2, 30167 Hannover, Germany and Institut für Theoretische Physik, ETH Zurich, Wolfgang-Pauli-Strasse 27, 8093 Zurich, Switzerland.
authors.forename: Volkher B
authors.initials: VB
authors.lastname: Scholz
authors.affiliation: Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstraße 2, 30167 Hannover, Germany.
authors.forename: Albert H
authors.initials: AH
authors.lastname: Werner