dc.identifier.uri |
http://dx.doi.org/10.15488/4831 |
|
dc.identifier.uri |
https://www.repo.uni-hannover.de/handle/123456789/4874 |
|
dc.contributor.author |
Schwonnek, Rene
|
|
dc.date.accessioned |
2019-05-21T10:57:55Z |
|
dc.date.available |
2019-05-21T10:57:55Z |
|
dc.date.issued |
2018 |
|
dc.identifier.citation |
Schwonnek, R.: Additivity of entropic uncertainty relations. In: Quantum - The Open Journal for Quantum Science 2 (2018), 59. DOI: https://doi.org/10.22331/q-2018-03-30-59 |
|
dc.description.abstract |
We consider the uncertainty between two pairs of local projective measurements performed on a multipartite system. We show that the optimal bound in any linear uncertainty relation, formulated in terms of the Shannon entropy, is additive. This directly implies, against naive intuition, that the minimal entropic uncertainty can always be realized by fully separable states. Hence, in contradiction to proposals by other authors, no entanglement witness can be constructed solely by comparing the attainable uncertainties of entangled and separable states. However, our result gives rise to a huge simplification for computing global uncertainty bounds as they now can be deduced from local ones. Furthermore, we provide the natural generalization of the Maassen and Uffink inequality for linear uncertainty relations with arbitrary positive coefficients. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Wien : Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
|
dc.relation.ispartofseries |
Quantum - The Open Journal for Quantum Science 2 (2018), 59 |
|
dc.rights |
CC BY 4.0 Unported |
|
dc.rights.uri |
https://creativecommons.org/licenses/by/4.0/ |
|
dc.subject |
multipartite system |
eng |
dc.subject |
Maassen and Uffink inequality |
eng |
dc.subject.ddc |
530 | Physik
|
ger |
dc.title |
Additivity of entropic uncertainty relations |
eng |
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.essn |
2521-327X |
|
dc.relation.doi |
https://doi.org/10.22331/q-2018-03-30-59 |
|
dc.bibliographicCitation.volume |
2 |
|
dc.bibliographicCitation.firstPage |
59 |
|
dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|