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dc.contributor.authorBarnett, Stephen M
dc.contributor.authorCresser, James D
dc.contributor.authorJeffers, John
dc.contributor.authorPegg, David T
dc.date.accessioned2017-05-03T11:02:52Z
dc.date.available2017-05-03T11:02:52Z
dc.date.issued2014
dc.date.modified2014-09-30T04:20:41Z
dc.identifier.issn1367-2630
dc.identifier.doi10.1088/1367-2630/16/4/043025
dc.identifier.urihttp://hdl.handle.net/10072/63355
dc.description.abstractBusch's theorem deriving the standard quantum probability rule can be regarded as a more general form of Gleason's theorem. Here we show that a further generalization is possible by reducing the number of quantum postulates used by Busch. We do not assume that the positive measurement outcome operators are effects or that they form a probability operator measure. We derive a more general probability rule from which the standard rule can be obtained from the normal laws of probability when there is no measurement outcome information available, without the need for further quantum postulates. Our general probablity rule has prediction-retrodiction symmetry and we show how it may be applied in quantum communications and in retrodictive quantum theory.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.format.extent194600 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglish
dc.language.isoeng
dc.publisherIOP
dc.publisher.placeUnited Kingdom
dc.relation.ispartofstudentpublicationN
dc.relation.ispartofpagefrom043025-1
dc.relation.ispartofpageto043025-12
dc.relation.ispartofjournalNew Journal of Physics
dc.relation.ispartofvolume16
dc.rights.retentionY
dc.subject.fieldofresearchPhysical sciences
dc.subject.fieldofresearchQuantum physics
dc.subject.fieldofresearchcode51
dc.subject.fieldofresearchcode5108
dc.titleQuantum probability rule: a generalization of the theorems of Gleason and Busch
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.rights.copyright© The Author(s) 2014. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the authors and the title of the work, journal citation and DOI.
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gro.griffith.authorPegg, David T.


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