%0 Journal Article
%J Physical Review Letters
%D 2016
%T Quantifying {Entanglement} of {Maximal} {Dimension} in {Bipartite} {Mixed} {States}
%A Sentís, Gael
%A Eltschka, Christopher
%A Gühne, Otfried
%A Huber, Marcus
%A Siewert, Jens
%X The Schmidt coefficients capture all entanglement properties of a pure bipartite state and therefore determine its usefulness for quantum information processing. While the quantification of the corresponding properties in mixed states is important both from a theoretical and a practical point of view, it is considerably more difficult, and methods beyond estimates for the concurrence are elusive. In particular this holds for a quantitative assessment of the most valuable resource, the forms of entanglement that can only exist in high-dimensional systems. We derive a framework for lower bounding the appropriate measure of entanglement, the so-called G-concurrence, through few local measurements. Moreover, we show that these bounds have relevant applications also for multipartite states.
%B Physical Review Letters
%V 117
%P 190502
%U https://link.aps.org/doi/10.1103/PhysRevLett.117.190502
%R 10.1103/PhysRevLett.117.190502
%0 Journal Article
%J Physical Review Letters
%D 2016
%T Steering Maps and Their Application to Dimension-Bounded Steering
%A Moroder, Tobias
%A Gittsovich, Oleg
%A Huber, Marcus
%A Uola, Roope
%A Gühne, Otfried
%B Physical Review Letters
%V 116
%G eng
%U http://link.aps.org/doi/10.1103/PhysRevLett.116.090403
%R 10.1103/PhysRevLett.116.090403
%0 Journal Article
%J Journal of Physics A: Mathematical and Theoretical
%D 2015
%T Relaxations of separability in multipartite systems: Semidefinite programs, witnesses and volumes
%A Lancien, Cécilia
%A Gühne, Otfried
%A Sengupta, Ritabrata
%A Huber, Marcus
%B Journal of Physics A: Mathematical and Theoretical
%V 48
%P 505302
%G eng
%U http://stacks.iop.org/1751-8121/48/i=50/a=505302?key=crossref.2e93a28de5494676a0b866fa95ccebfd
%R 10.1088/1751-8113/48/50/505302
%0 Journal Article
%J Journal of Physics A: Mathematical and Theoretical
%D 2014
%T Fifty years of Bell’s theorem
%A Nicolas Brunner
%A Gühne, Otfried
%A Huber, Marcus
%B Journal of Physics A: Mathematical and Theoretical
%V 47
%P 420301
%8 oct
%G eng
%U http://stacks.iop.org/1751-8121/47/i=42/a=420301?key=crossref.9d548f14fc7338685392dcd6228de98d
%R 10.1088/1751-8113/47/42/420301
%0 Journal Article
%J Physical Review Letters
%D 2014
%T Steering Bound Entangled States: A Counterexample to the Stronger Peres Conjecture
%A Moroder, Tobias
%A Gittsovich, Oleg
%A Huber, Marcus
%A Gühne, Otfried
%X 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, Schr\"odinger 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 semi-device independent way.
%B Physical Review Letters
%V 113
%8 8/2014
%N 5
%! Phys. Rev. Lett.
%R 10.1103/PhysRevLett.113.050404
%0 Journal Article
%J Physical Review A
%D 2014
%T Unified approach to entanglement criteria using the Cauchy-Schwarz and Hölder inequalities
%A Wölk, Sabine
%A Huber, Marcus
%A Gühne, Otfried
%X We present a unified approach to different recent entanglement criteria. Although they were developed in different ways, we show that they are all applications of a more general principle given by the Cauchy-Schwarz inequality. We explain this general principle and show how to use it to derive not only already known entanglement criteria, but also criteria which were unknown so far. We systematically investigate its potential and limitations to detect bipartite and multipartite entanglement. Furthermore, we describe how to apply our generalized entanglement detection scheme to find the measurement directions to verify the entanglement of a given state experimentally.
%B Physical Review A
%V 90
%8 8/2014
%N 2
%! Phys. Rev. A
%R 10.1103/PhysRevA.90.022315
%0 Journal Article
%J Physical Review Letters
%D 2004
%T Experimental Detection of Multipartite Entanglement using Witness Operators
%A Bourennane, Mohamed
%A Eibl, Manfred
%A Kurtsiefer, Christian
%A Gaertner, Sascha
%A Weinfurter, Harald
%A Gühne, Otfried
%A Hyllus, Philipp
%A Bruß, Dagmar
%A Lewenstein, Maciej
%A Sanpera, Anna
%B Physical Review Letters
%V 92
%G eng
%U http://prl.aps.org/abstract/PRL/v92/i8/e087902
%R 10.1103/PhysRevLett.92.087902
%0 Journal Article
%J Journal of Modern Optics
%D 2003
%T Experimental detection of entanglement via witness operators and local measurements
%A Gühne, Otfried
%A Hyllus, Philipp
%A Bruss, Dagmar
%A Ekert, Artur K.
%A Lewenstein, Maciej
%A Macchiavello, Chiara
%A Sanpera, Anna
%B Journal of Modern Optics
%V 50
%P 1079–1102
%G eng
%U http://www.informaworld.com/smpp/36433790-99697256/content\~{}db=all\~{}content=a713826204
%R 10.1080/09500340308234554