Freiburg 2019 – wissenschaftliches Programm

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FM: Fall Meeting

FM 86: Poster: Secure Communication & Computation

FM 86.1: Poster

Donnerstag, 26. September 2019, 16:30–18:30, Tents

Relevance of POVMs for Bell nonlocality — •Lucas Tendick, Hermann Kampermann, and Dagmar Bruss — Institut für Theoretische Physik III, Heinrich-Heine-Universität Düsseldorf, D-40225 Düsseldorf, Germany

We discuss the relevance of general positive-operator valued measures (POVMs) for Bell nonlocality. Despite the fact that POVMs outperform projective measurements in many other quantum information tasks, about the benefit of POVMs with respect to nonlocality only little is known. We study Bell inequalities which involve up to four outcomes with multiple settings and discuss their properties. Especially the advantage of POVMs compared to projective measurements on qubits in terms of maximal violation and robustness of the inequality is analysed. We discuss both facet and non-facet defining inequalities of the local polytope from the literature, as well as new inequalities found by linear programming. Furthermore, possible connections between Bell inequalities and tasks where an advantage of POVMs is well-known are analysed.