Rostock 2019 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 27: Quantum Information (Concepts and Methods) II
Q 27.3: Vortrag
Mittwoch, 13. März 2019, 11:15–11:30, S HS 001 Chemie
Compatibility of quantum effects and inclusion of free spectrahedra — •Andreas Bluhm1 and Ion Nechita2 — 1Zentrum Mathematik, Technische Universität München, Garching, Deutschland — 2Laboratoire de Physique Théorique, Université Paul Sabatier, CNRS, Toulouse, Frankreich
One of the defining properties of quantum mechanics is the existence of incompatible observables, of which the observables of position and momentum are a well-known example. In this talk, we will connect the problem of determining whether a given set of measurements is compatible to the inclusion of free spectrahedra. Free spectrahedra are objects arising in convex optimization. We show how results from algebraic convexity can be used to quantify the degree of incompatibility of binary quantum measurements. In particular, this new connection allows us to completely characterize the case in which the dimension of the quantum system is exponential in the number of measurements.