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dc.contributor.authorWalgate, Jonathan
dc.contributor.authorScott, Andrew
dc.contributor.editorMurray T Batchelor (Editor-in-Chief)
dc.date.accessioned2017-05-03T15:22:03Z
dc.date.available2017-05-03T15:22:03Z
dc.date.issued2008
dc.date.modified2009-12-17T22:30:35Z
dc.identifier.issn1751-8113
dc.identifier.doi10.1088/1751-8113/41/37/375305
dc.identifier.urihttp://hdl.handle.net/10072/23595
dc.description.abstractA subspace of a multipartite Hilbert space is completely entangled if it contains no product states. Such subspaces can be large with a known maximum size, smax, approaching the full dimension of the system, D. We show that almost all subspaces with dimension s = smax are completely entangled and then use this fact to prove that n random pure quantum states are unambiguously locally distinguishable if and only if n = D - smax. This condition holds for almost all sets of states of all multipartite systems and reveals something surprising. The criterion is identical for separable and nonseparable states: entanglement makes no difference.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.format.extent165365 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/issue/1751-8121/41/41?gridset=show
dc.relation.ispartofstudentpublicationN
dc.relation.ispartofpagefrom375305-1
dc.relation.ispartofpageto375305-15
dc.relation.ispartofjournalJournal of Physics A: Mathematical and Theoretical
dc.relation.ispartofvolume41
dc.rights.retentionY
dc.subject.fieldofresearchQuantum Information, Computation and Communication
dc.subject.fieldofresearchMathematical Sciences
dc.subject.fieldofresearchPhysical Sciences
dc.subject.fieldofresearchcode020603
dc.subject.fieldofresearchcode01
dc.subject.fieldofresearchcode02
dc.titleGeneric local distinguishability and completely entangled subspaces
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.rights.copyright© 2008 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.issued2008
gro.hasfulltextFull Text
gro.griffith.authorScott, Andrew J.


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