Show simple item record

dc.contributor.authorHall, Michaelen_US
dc.date.accessioned2019-05-29T13:09:30Z
dc.date.available2019-05-29T13:09:30Z
dc.date.issued2018en_US
dc.identifier.issn1751-8113en_US
dc.identifier.doi10.1088/1751-8121/aad50fen_US
dc.identifier.urihttp://hdl.handle.net/10072/381495
dc.description.abstractStrong and general entropic and geometric Heisenberg limits are obtained, for estimates of multiparameter unitary displacements in quantum metrology, such as the estimation of a magnetic field from the induced rotation of a probe state in three dimensions. A key ingredient is the Holevo bound on the Shannon mutual information of a quantum communication channel. This leads to a Bayesian bound on performance, in terms of the prior distribution of the displacement and the asymmetry of the input probe state with respect to the displacement group. A geometric measure of performance related to entropy is proposed for general parameter estimation. It is also shown how strong entropic uncertainty relations for mutually unbiased observables, such as number and phase, position and momentum, energy and time, and orthogonal spin-1/2 directions, can be obtained from elementary applications of Holevo's bound. A geometric interpretation of results is emphasised, in terms of the 'volumes' of quantum and classical statistical ensembles.en_US
dc.description.peerreviewedYesen_US
dc.languageEnglishen_US
dc.publisherInstitute of Physics Publishingen_US
dc.publisher.placeUnited Kingdomen_US
dc.relation.ispartofchapter364001en_US
dc.relation.ispartofpagefrom1en_US
dc.relation.ispartofpageto25en_US
dc.relation.ispartofissue36en_US
dc.relation.ispartofjournalJournal of Physics A: Mathematical and Theoreticalen_US
dc.relation.ispartofvolume51en_US
dc.subject.fieldofresearchMathematical Sciences not elsewhere classifieden_US
dc.subject.fieldofresearchMathematical Sciencesen_US
dc.subject.fieldofresearchPhysical Sciencesen_US
dc.subject.fieldofresearchcode019999en_US
dc.subject.fieldofresearchcode01en_US
dc.subject.fieldofresearchcode02en_US
dc.titleEntropic Heisenberg limits and uncertainty relations from the Holevo information bounden_US
dc.typeJournal articleen_US
dc.type.descriptionC1 - Articlesen_US
dc.type.codeC - Journal Articlesen_US
dc.description.versionPost-printen_US
gro.facultyGriffith Sciences, School of Environment and Scienceen_US
gro.rights.copyright© 2018 Institute of Physics Publishing. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher.Please refer to the journal's website for access to the definitive, published version.en_US
gro.hasfulltextFull Text
gro.griffith.authorHall, Michael J.


Files in this item

This item appears in the following Collection(s)

  • Journal articles
    Contains articles published by Griffith authors in scholarly journals.

Show simple item record