Hannover 2016 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 3: Quantum Information: Concepts and Methods I

Q 3.8: Talk

Monday, February 29, 2016, 12:45–13:00, e214

Measurement uncertainty relations in discrete metric — •René Schwonnek, Louis Fraatz, Kais Abdelkhalek, David Reeb, and Reinhard F. Werner — Institut für Theoretische Physik, Leibniz Universität Hannover

Given two non-commuting sharp observables what is the best joint measurement approximating them? A quantitative answer to such a question is given by a measurement uncertainty relation. In this talk we consider observables with finite outcome spaces and employ the Wasserstein metric to quantify the distance between an approximate observable and a sharp one. We will show how this optimization problem can be solved exactly for arbitrary observables by semi-definite programming. Furthermore, we provide analytic lower bounds on the measurement uncertainty in terms of the norms of certain commutators.