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dc.contributor.authorVaccaro, Joanen_US
dc.date.accessioned2017-05-03T11:16:29Z
dc.date.available2017-05-03T11:16:29Z
dc.date.issued2012en_US
dc.date.modified2012-09-10T23:20:48Z
dc.identifier.issn14712946en_US
dc.identifier.doi10.1098/rspa.2011.0271en_US
dc.identifier.urihttp://hdl.handle.net/10072/46753
dc.description.abstractSymmetry plays a central role in many areas of modern physics. Here, we show that it also underpins the dual particle and wave nature of quantum systems.We begin by noting that a classical point particle breaks translational symmetry, whereas a wave with uniform amplitude does not. This provides a basis for associating particle nature with asymmetry and wave nature with symmetry. We derive expressions for the maximum amount of classical information we can have about the symmetry and asymmetry of a quantum system with respect to an arbitrary group. We find that the sum of the information about the symmetry (wave nature) and the asymmetry (particle nature) is bounded by log(D), where D is the dimension of the Hilbert space. The combination of multiple systems is shown to exhibit greater symmetry and thus a more wavelike character. In particular, a class of entangled systems is shown to be capable of exhibiting wave-like symmetry as a whole while exhibiting particle-like asymmetry internally. We also show that superdense coding can be viewed as being essentially an interference phenomenon involving wave-like symmetry with respect to the group of Pauli operators.en_US
dc.description.peerreviewedYesen_US
dc.description.publicationstatusYesen_US
dc.format.extent267366 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglishen_US
dc.publisherThe Royal Society Publishingen_US
dc.publisher.placeUnited Kingdomen_US
dc.relation.ispartofstudentpublicationNen_US
dc.relation.ispartofpagefrom1065en_US
dc.relation.ispartofpageto1084en_US
dc.relation.ispartofissue2140en_US
dc.relation.ispartofjournalProceedings of the Royal Society Aen_US
dc.relation.ispartofvolume468en_US
dc.rights.retentionYen_US
dc.subject.fieldofresearchQuantum Physics not elsewhere classifieden_US
dc.subject.fieldofresearchcode020699en_US
dc.titleParticle-wave duality: a dichotomy between symmetry and asymmetryen_US
dc.typeJournal articleen_US
dc.type.descriptionC1 - Peer Reviewed (HERDC)en_US
dc.type.codeC - Journal Articlesen_US
gro.facultyGriffith Sciences, School of Natural Sciencesen_US
gro.rights.copyrightCopyright 2012 Royal 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 website for access to the definitive, published version.en_US
gro.date.issued2012
gro.hasfulltextFull Text


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