title: Steering bound entangled States: a counterexample to the stronger Peres conjecture.
abstract: Quantum correlations are at the heart of many applications in quantum information science and, at the same time, they form the basis for discussions about genuine quantum effects and their difference to classical physics. On one hand, entanglement theory provides the tools to quantify correlations in information processing and many results have been obtained to discriminate useful entanglement, which can be distilled to a pure form, from bound entanglement, being of limited use in many applications. On the other hand, for discriminating quantum phenomena from their classical counterparts, Schrödinger and Bell introduced the notions of steering and local hidden variable models. We provide a method to generate systematically bound entangled quantum states which can still be used for steering and, therefore, to rule out local hidden state models. This sheds light on the relations between the various views on quantum correlations and disproves a widespread conjecture known as the stronger Peres conjecture. For practical applications, it implies that even the weakest form of entanglement can be certified in a semidevice independent way.
authors.affiliation: Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, 57068 Siegen, Germany.
authors.forename: Tobias
authors.initials: T
authors.lastname: Moroder
authors.affiliation: Institute of Atomic and Subatomic Physics, TU Wien, Stadionallee 2, 1020 Wien, Austria and Institute for Theoretical Physics, University of Innsbruck, Technikerstraße 25, 6020 Innsbruck, Austria and Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences, Technikerstraße 21a, 6020 Innsbruck, Austria.
authors.forename: Oleg
authors.initials: O
authors.lastname: Gittsovich
authors.affiliation: Departament de Física, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain and ICFO-Institut de Ciències Fotòniques, Mediterranean Technology Park, 08860 Castelldefels (Barcelona), Spain.
authors.forename: Marcus
authors.initials: M
authors.lastname: Huber
authors.affiliation: Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Straße 3, 57068 Siegen, Germany.
authors.forename: Otfried
authors.initials: O
authors.lastname: Gühne