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dc.contributor.authorScott, A
dc.date.accessioned2017-05-03T16:55:39Z
dc.date.available2017-05-03T16:55:39Z
dc.date.issued2006
dc.date.modified2009-09-22T05:52:00Z
dc.identifier.issn03054470
dc.identifier.doi10.1088/0305-4470/39/43/009
dc.identifier.urihttp://hdl.handle.net/10072/22680
dc.description.abstractWe introduce a class of informationally complete positive-operator-valued measures which are, in analogy with a tight frame, 'as close as possible' to orthonormal bases for the space of quantum states. These measures are distinguished by an exceptionally simple state-reconstruction formula which allows 'painless' quantum state tomography. Complete sets of mutually unbiased bases and symmetric informationally complete ositive-operatorvalued measures are both members of this class, the latter being the unique minimal rank-one members. Recast as ensembles of pure quantum states, the rank-one members are in fact equivalent to weighted 2-designs in complex projective space. These measures are shown to be optimal for quantum cloning and linear quantum state tomography.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.format.extent228583 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglish
dc.language.isoeng
dc.publisherInstitute of Physics Publishing
dc.publisher.placeUnited Kingdom
dc.publisher.urihttps://iopscience.iop.org/journal/1751-8121
dc.relation.ispartofstudentpublicationN
dc.relation.ispartofpagefrom13507
dc.relation.ispartofpageto13530
dc.relation.ispartofissue43
dc.relation.ispartofjournalJournal of Physics A: Mathematical and General
dc.relation.ispartofvolume39
dc.rights.retentionY
dc.subject.fieldofresearchQuantum Physics not elsewhere classified
dc.subject.fieldofresearchMathematical Sciences
dc.subject.fieldofresearchPhysical Sciences
dc.subject.fieldofresearchcode020699
dc.subject.fieldofresearchcode01
dc.subject.fieldofresearchcode02
dc.titleTight informationally complete quantum measurements
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.rights.copyright© 2006 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.
gro.date.issued2006
gro.hasfulltextFull Text
gro.griffith.authorScott, Andrew J.


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