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  4. Distance-based resource quantification for sets of quantum measurements
 
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Distance-based resource quantification for sets of quantum measurements

Citation Link: https://doi.org/10.15480/882.13947
Publikationstyp
Journal Article
Date Issued
2023-05-15
Sprache
English
Author(s)
Tendick, Lucas  
Kliesch, Martin  
Quantum-Inspired and Quantum Optimization E-25  
Kampermann, Hermann  
Bruß, Dagmar  
TORE-DOI
10.15480/882.13947
TORE-URI
http://hdl.handle.net/11420/14163
Journal
Quantum  
Volume
7
End Page
1003
Citation
Quantum 7: 1003 (2023)
Publisher DOI
10.22331/Q-2023-05-15-1003
Scopus ID
2-s2.0-85164423554
ArXiv ID
2205.08546v1
Publisher
Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
The advantage that quantum systems provide for certain quantum information processing tasks over their classical counterparts can be quantified within the general framework of resource theories. Certain distance functions between quantum states have successfully been used to quantify resources like entanglement and coherence. Perhaps surprisingly, such a distance-based approach has not been adopted to study resources of quantum measurements, where other geometric quantifiers are used instead. Here, we define distance functions between sets of quantum measurements and show that they naturally induce resource monotones for convex resource theories of measurements. By focusing on a distance based on the diamond norm, we establish a hierarchy of measurement resources and derive analytical bounds on the incompatibility of any set of measurements. We show that these bounds are tight for certain projective measurements based on mutually unbiased bases and identify scenarios where different measurement resources attain the same value when quantified by our resource monotone. Our results provide a general framework to compare distance-based resources for sets of measurements and allow us to obtain limitations on Bell-type experiments.
Subjects
Quantum Physics
DDC Class
620: Engineering
Funding(s)
Verification and Characterization of Quantum Technology  
Lizenz
https://creativecommons.org/licenses/by/4.0/
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