Relative entropic uncertainty relation

Quantum uncertainty relations are formulated in terms of relative entropy between distributions of measurement outcomes and suitable reference distributions with maximum entropy. This type of entropic uncertainty relation can be applied directly to observables with either discrete or continuous spec...

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Bibliographic Details
Main Authors: Flörchinger, Stefan (Author) , Haas, Tobias (Author) , Höber, Ben (Author)
Format: Article (Journal)
Language:English
Published: 4 June 2021
In: Physical review
Year: 2021, Volume: 103, Issue: 6, Pages: 1-10
ISSN:2469-9934
DOI:10.1103/PhysRevA.103.062209
Online Access:Resolving-System, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevA.103.062209
Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevA.103.062209
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Author Notes:Stefan Floerchinger, Tobias Haas, and Ben Hoeber
Description
Summary:Quantum uncertainty relations are formulated in terms of relative entropy between distributions of measurement outcomes and suitable reference distributions with maximum entropy. This type of entropic uncertainty relation can be applied directly to observables with either discrete or continuous spectra. We find that a sum of relative entropies is bounded from above in a nontrivial way, which we illustrate with some examples.
Item Description:Gesehen am 15.09.2022
Physical Description:Online Resource
ISSN:2469-9934
DOI:10.1103/PhysRevA.103.062209