dc.identifier.uri |
http://dx.doi.org/10.15488/2590 |
|
dc.identifier.uri |
http://www.repo.uni-hannover.de/handle/123456789/2616 |
|
dc.contributor.author |
Furrer, Fabian
|
|
dc.contributor.author |
Aberg, Johan
|
|
dc.contributor.author |
Renner, Renato
|
|
dc.date.accessioned |
2018-01-18T09:13:09Z |
|
dc.date.available |
2018-01-18T09:13:09Z |
|
dc.date.issued |
2011 |
|
dc.identifier.citation |
Furrer, F.; Aberg, J.; Renner, R.: Min- and Max-Entropy in Infinite Dimensions. In: Communications in Mathematical Physics 306 (2011), Nr. 1, S. 165-186. DOI: https://doi.org/10.1007/s00220-011-1282-1 |
|
dc.description.abstract |
We consider an extension of the conditional min- and max-entropies to infinite-dimensional separable Hilbert spaces. We show that these satisfy characterizing properties known from the finite-dimensional case, and retain information-theoretic operational interpretations, e. g., the min-entropy as maximum achievable quantum correlation, and the max-entropy as decoupling accuracy. We furthermore generalize the smoothed versions of these entropies and prove an infinite-dimensional quantum asymptotic equipartition property. To facilitate these generalizations we show that the min- and max-entropy can be expressed in terms of convergent sequences of finite-dimensional min- and max-entropies, which provides a convenient technique to extend proofs from the finite to the infinite-dimensional setting. |
eng |
dc.language.iso |
eng |
|
dc.publisher |
Bristol : Institute of Physics Publishing |
|
dc.relation.ispartofseries |
Communications in Mathematical Physics 306 (2011), Nr. 1 |
|
dc.rights |
CC BY-NC 3.0 Unported |
|
dc.rights.uri |
https://creativecommons.org/licenses/by-nc/3.0/ |
|
dc.subject |
Hilbert spaces |
eng |
dc.subject.ddc |
530 | Physik
|
ger |
dc.title |
Min- and Max-Entropy in Infinite Dimensions |
|
dc.type |
Article |
|
dc.type |
Text |
|
dc.relation.issn |
00103616 |
|
dc.relation.doi |
https://doi.org/10.1007/s00220-011-1282-1 |
|
dc.bibliographicCitation.issue |
1 |
|
dc.bibliographicCitation.volume |
306 |
|
dc.bibliographicCitation.firstPage |
165 |
|
dc.bibliographicCitation.lastPage |
186 |
|
dc.description.version |
publishedVersion |
|
tib.accessRights |
frei zug�nglich |
|