TY - JOUR
T1 - Quantifying {Entanglement} of {Maximal} {Dimension} in {Bipartite} {Mixed} {States}
JF - Physical Review Letters
Y1 - 2016
A1 - Sentís, Gael
A1 - Eltschka, Christopher
A1 - Gühne, Otfried
A1 - Huber, Marcus
A1 - Siewert, Jens
AB - 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.
VL - 117
UR - https://link.aps.org/doi/10.1103/PhysRevLett.117.190502
ER -
TY - JOUR
T1 - Steering Maps and Their Application to Dimension-Bounded Steering
JF - Physical Review Letters
Y1 - 2016
A1 - Moroder, Tobias
A1 - Gittsovich, Oleg
A1 - Huber, Marcus
A1 - Uola, Roope
A1 - Gühne, Otfried
VL - 116
UR - http://link.aps.org/doi/10.1103/PhysRevLett.116.090403
ER -
TY - JOUR
T1 - Relaxations of separability in multipartite systems: Semidefinite programs, witnesses and volumes
JF - Journal of Physics A: Mathematical and Theoretical
Y1 - 2015
A1 - Lancien, Cécilia
A1 - Gühne, Otfried
A1 - Sengupta, Ritabrata
A1 - Huber, Marcus
VL - 48
UR - http://stacks.iop.org/1751-8121/48/i=50/a=505302?key=crossref.2e93a28de5494676a0b866fa95ccebfd
ER -
TY - JOUR
T1 - Fifty years of Bell’s theorem
JF - Journal of Physics A: Mathematical and Theoretical
Y1 - 2014
A1 - Nicolas Brunner
A1 - Gühne, Otfried
A1 - Huber, Marcus
VL - 47
UR - http://stacks.iop.org/1751-8121/47/i=42/a=420301?key=crossref.9d548f14fc7338685392dcd6228de98d
ER -
TY - JOUR
T1 - Steering Bound Entangled States: A Counterexample to the Stronger Peres Conjecture
JF - Physical Review Letters
Y1 - 2014
A1 - Moroder, Tobias
A1 - Gittsovich, Oleg
A1 - Huber, Marcus
A1 - Gühne, Otfried
AB - 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.
VL - 113
IS - 5
JO - Phys. Rev. Lett.
ER -
TY - JOUR
T1 - Unified approach to entanglement criteria using the Cauchy-Schwarz and Hölder inequalities
JF - Physical Review A
Y1 - 2014
A1 - Wölk, Sabine
A1 - Huber, Marcus
A1 - Gühne, Otfried
AB - 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.
VL - 90
IS - 2
JO - Phys. Rev. A
ER -
TY - JOUR
T1 - Experimental Detection of Multipartite Entanglement using Witness Operators
JF - Physical Review Letters
Y1 - 2004
A1 - Bourennane, Mohamed
A1 - Eibl, Manfred
A1 - Kurtsiefer, Christian
A1 - Gaertner, Sascha
A1 - Weinfurter, Harald
A1 - Gühne, Otfried
A1 - Hyllus, Philipp
A1 - Bruß, Dagmar
A1 - Lewenstein, Maciej
A1 - Sanpera, Anna
VL - 92
UR - http://prl.aps.org/abstract/PRL/v92/i8/e087902
ER -
TY - JOUR
T1 - Experimental detection of entanglement via witness operators and local measurements
JF - Journal of Modern Optics
Y1 - 2003
A1 - Gühne, Otfried
A1 - Hyllus, Philipp
A1 - Bruss, Dagmar
A1 - Ekert, Artur K.
A1 - Lewenstein, Maciej
A1 - Macchiavello, Chiara
A1 - Sanpera, Anna
VL - 50
UR - http://www.informaworld.com/smpp/36433790-99697256/content\~{}db=all\~{}content=a713826204
ER -