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dc.contributor.authorJones, SJ
dc.contributor.authorWiseman, HM
dc.contributor.authorBartlett, SD
dc.contributor.authorVaccaro, JA
dc.contributor.authorPope, DT
dc.contributor.editorGordan W. F. Drake and Margaret Malloy
dc.date.accessioned2017-05-03T11:16:24Z
dc.date.available2017-05-03T11:16:24Z
dc.date.issued2006
dc.date.modified2009-09-17T07:23:48Z
dc.identifier.issn1050-2947
dc.identifier.doi10.1103/PhysRevA.74.062313
dc.identifier.urihttp://hdl.handle.net/10072/11409
dc.description.abstractIn recent years it has become apparent that constraints on possible quantum operations, such as those constraints imposed by superselection rules (SSRs), have a profound effect on quantum information theoretic concepts like bipartite entanglement. This paper concentrates on a particular example: the constraint that applies when the parties (Alice and Bob) cannot distinguish among certain quantum objects they have. This arises naturally in the context of ensemble quantum information processing such as in liquid NMR. We discuss how a SSR for the symmetric group can be applied, and show how the extractable entanglement can be calculated analytically in certain cases, with a maximum bipartite entanglement in an ensemble of N Bell-state pairs scaling as log(N) as N?8 . We discuss the apparent disparity with the asymptotic (N?8) recovery of unconstrained entanglement for other sorts of superselection rules, and show that the disparity disappears when the correct notion of applying the symmetric group SSR to multiple copies is used. Next we discuss reference frames in the context of this SSR, showing the relation to the work of von Korff and Kempe [Phys. Rev. Lett. 93, 260502 (2004)]. The action of a reference frame can be regarded as the analog of activation in mixed-state entanglement. We also discuss the analog of distillation: there exist states such that one copy can act as an imperfect reference frame for another copy. Finally we present an example of a stronger operational constraint, that operations must be noncollective as well as symmetric. Even under this stronger constraint we, nevertheless, show that Bell nonlocality (and hence entanglement) can be demonstrated for an ensemble of N Bell-state pairs no matter how large N is. This last work is a generalization of that of Mermin [Phys. Rev. D 22, 356 (1980)].
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.format.extent574141 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglish
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.publisher.placeRidge, NY
dc.publisher.urihttp://pra.aps.org/
dc.relation.ispartofstudentpublicationN
dc.relation.ispartofpagefrom062313.1
dc.relation.ispartofpageto062313.16
dc.relation.ispartofedition2006
dc.relation.ispartofjournalPhysical Review A (Atomic, Molecular and Optical Physics)
dc.relation.ispartofvolume74
dc.rights.retentionN
dc.subject.fieldofresearchMathematical sciences
dc.subject.fieldofresearchPhysical sciences
dc.subject.fieldofresearchChemical sciences
dc.subject.fieldofresearchcode49
dc.subject.fieldofresearchcode51
dc.subject.fieldofresearchcode34
dc.titleEntanglement and Symmetry: A Case Study in Superselection Rules, Reference Frames, and Beyond
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.facultyGriffith Sciences, School of Natural Sciences
gro.rights.copyright© 2006 American Physical Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal link for access to the definitive, published version.
gro.date.issued2006
gro.hasfulltextFull Text
gro.griffith.authorVaccaro, Joan A.
gro.griffith.authorWiseman, Howard M.


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