Karlsruhe 2011 – wissenschaftliches Programm

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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 21: Quantum Information III

MP 21.3: Vortrag

Donnerstag, 31. März 2011, 15:35–15:55, 30.45: 201

Limits on non-local correlations from the structure of the local state space — •Peter Janotta¹, Christian Gogolin^2,3, Jonathan Barrett^4,5, and Nicolas Brunner⁵ — ¹Fakultät für Physik und Astronomie, Universität Würzburg, Germany — ²Institute for Physics and Astronomy, Potsdam University, Germany — ³Department of Mathematics, University of Bristol, U.K. — ⁴Department of Mathematics, Royal Holloway, University of London, U.K. — ⁵H.H. Wills Physics Laboratory, University of Bristol, U.K.

Nonlocality is arguably one of the most remarkable features of quantum mechanics. On the other hand nature seems to forbid other no-signaling correlations that cannot be generated by quantum systems. Usual approaches to explain this limitation are based on information theoretic properties of the correlations without any reference to physical theories they might emerge from.

In contrast to that we investigate a transition between bipartite classical, no-signaling and quantum correlations by considering generalized probabilistic theories. It turns out that the strength of nonlocality of the maximally entangled state depends crucially on a simple geometric property of the local state space, known as strong self-duality. In particular strong self-duality implies macroscopic locality and therefore Tsirelson's bound for correlations of the maximally entangled state in quantum mechanics. Finally, our results also show that there exist models which are locally almost indistinguishable from quantum mechanics, but can nevertheless generate maximally nonlocal correlations.