Non UBC
DSpace
Thomas Theurer
2020-01-19T09:37:54Z
2019-07-22T09:03
To describe certain facets of non-classicality, it is necessary to quantify properties of operations instead of states. This is the case if one wants to quantify how well an operation detects non-classicality, which is a necessary prerequisite for its use in quantum technologies. To do so rigorously, we build resource theories on the level of operations, exploiting the concept of resource destroying maps. We discuss the two basic ingredients of these resource theories, the free operations and the free super-operations, which are sequential and parallel concatenations with free operations. This leads to defining properties of functionals that are well suited to quantify the resources of operations. We introduce these concepts at the example of coherence. In particular, we present two measures quantifying the ability of an operation to detect, i.e. to use, coherence, one of them with an operational interpretation, and provide methods to evaluate them. We also present an application of these concepts to an experiment in quantum optics.
https://circle.library.ubc.ca/rest/handle/2429/73341?expand=metadata
43.0 minutes
video/mp4
Author affiliation: Ulm University
Banff (Alta.)
10.14288/1.0388319
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Graduate
BIRS Workshop Lecture Videos (Banff, Alta)
Mathematics
Quantum Theory, Operator Theory, Mathematical Physics
Quantifying operations with an application to coherence
Moving Image
http://hdl.handle.net/2429/73341