Kähler fibrations in quantum information theory
dc.contributor.author
Contreras, Ivan
dc.contributor.author
Schiavina, Michele
dc.date.accessioned
2022-06-27T08:10:21Z
dc.date.available
2021-07-15T10:33:06Z
dc.date.available
2021-07-30T07:14:43Z
dc.date.available
2021-08-02T10:05:41Z
dc.date.available
2022-06-27T08:10:21Z
dc.date.issued
2022-07
dc.identifier.issn
0025-2611
dc.identifier.issn
1432-1785
dc.identifier.other
10.1007/s00229-021-01311-9
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/494942
dc.description.abstract
We discuss the fibre bundle of co-adjoint orbits of compact Lie groups, and show how it admits a compatible Kähler structure. The case of the unitary group allows us to reformulate the geometric framework of quantum information theory. In particular, we show that the Fisher information tensor gives rise to a structure that is sufficiently close to a Kähler structure to generalise some classical result on co-adjoint orbits. © 2021 Springer Nature Switzerland AG
en_US
dc.language.iso
en
en_US
dc.publisher
Springer
en_US
dc.title
Kähler fibrations in quantum information theory
en_US
dc.type
Journal Article
dc.date.published
2021-05-20
ethz.journal.title
Manuscripta Mathematica
ethz.journal.volume
168
en_US
ethz.journal.issue
3
en_US
ethz.journal.abbreviated
manuscr. math.
ethz.pages.start
325
en_US
ethz.pages.end
349
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
Heidelberg
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02010 - Dep. Physik / Dep. of Physics::02511 - Institut für Theoretische Physik / Institute for Theoretical Physics::03896 - Beisert, Niklas / Beisert, Niklas
en_US
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02010 - Dep. Physik / Dep. of Physics::02511 - Institut für Theoretische Physik / Institute for Theoretical Physics::03896 - Beisert, Niklas / Beisert, Niklas
ethz.date.deposited
2021-07-15T10:34:40Z
ethz.source
WOS
ethz.eth
yes
en_US
ethz.availability
Metadata only
en_US
ethz.rosetta.installDate
2022-06-27T08:10:28Z
ethz.rosetta.lastUpdated
2022-06-27T08:10:28Z
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true
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Journal Article [128888]