Rostock 2019 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 11: Quantum Information (Concepts and Methods) I
Q 11.6: Vortrag
Montag, 11. März 2019, 15:15–15:30, S HS 001 Chemie
Quantifying quantum resources with conic programming — •Tristan Kraft1, Roope Uola1, Jiangwei Shang2, Xiao-Dong Yu1, and Otfried Gühne1 — 1Naturwissenschaftlich-Technische Fakultät, Universität Siegen, Walter-Flex-Str. 3, D-57068 Siegen, Germany — 2Beijing Key Laboratory of Nanophotonics and Ultrafine Optoelectronic Systems, School of Physics, Beijing Institute of Technology, Beijing 100081, China
Quantum resource theories have attracted much interest recently. Their aim is to formalise the quantification and manipulation of quantum resources, which include but are not limited to entanglement, asymmetry and coherence of quantum states, or incompatibility of quantum measurements. Given a quantum resource, one can ask whether it is useful for some task, specifically if there is a task in which it performs better than any resourceless state or measurement.
Using the techniques from conic programming, we prove that in any resource theory (with a convex and compact set of free resources) associated to quantum state assemblages or quantum measurements, the resource can be seen as the ability to outperform the free states in some minimum-error state discrimination task. Moreover, we show that this outperformance can be quantified by an appropriate robustness measure. We apply the technique to various explicit sets of free states, e.g. joint measurability, POVMs simulable by projective measurements, and state assemblages preparable with a given Schmidt number.