Rostock 2019 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 50: Quantum Information (Concepts and Methods) IV
Q 50.5: Vortrag
Donnerstag, 14. März 2019, 15:15–15:30, S HS 001 Chemie
Entropic uncertainty relations from quantum designs — •Andreas Ketterer1,2 and Otfried Gühne2 — 1Albert-Ludwigs Universität Freiburg, Freiburg, Germany — 2Universität Siegen, Siegen, Germany
In recent years there has been a growing interest in entropic uncertainty relations among the quantum information community. This growth is not only due to conceptual reasons, but also to their important role as building blocks in quantum information protocols such as entanglement detection. In this talk we will show how to derive entropic uncertainty relations using the concept of quantum state designs. The key property of designs is that they are indistinguishable from truly random quantum processes as long as one is concerned with moments of some finite order. Exploiting this characteristic enables us to derive bounds on polynomial functions of measurement probabilities, which correspond to sums of generalized entropies.