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dc.contributor.authorHiggins, Brendonen_US
dc.contributor.authorBerry, D.en_US
dc.contributor.authorBartlett, S.en_US
dc.contributor.authorWiseman, Howarden_US
dc.contributor.authorPryde, Geoffen_US
dc.date.accessioned2017-04-24T12:34:55Z
dc.date.available2017-04-24T12:34:55Z
dc.date.issued2007en_US
dc.date.modified2009-09-24T05:55:17Z
dc.identifier.issn00280836en_US
dc.identifier.doi10.1038/nature06257en_AU
dc.identifier.urihttp://hdl.handle.net/10072/17413
dc.description.abstractMeasurement underpins all quantitative science. A key example is the measurement of optical phase, used in length metrology and many other applications. Advances in precision measurement have consistently led to important scientific discoveries. At the fundamental level, measurement precision is limited by the number N of quantum resources (such as photons) that are used. Standard measurement schemes, using each resource independently, lead to a phase uncertainty that scales as 1/ffiNffiffiffi p -known as the standard quantum limit. However, it has long been conjectured1,2 that it should be possible to achieve a precision limited only by the Heisenberg uncertainty principle, dramatically improving the scaling to 1/N (ref. 3). It is commonly thought that achieving this improvement requires the use of exotic quantum entangled states, such as the NOON state4,5. These states are extremely difficult to generate. Measurement schemes with counted photons or ions have been performed with N#6 (refs 6-15), but few have surpassed the standard quantum limit12,14 and none have shown Heisenberg-limited scaling. Here we demonstrate experimentally a Heisenberg-limited phase estimation procedure. We replace entangled input states with multiple applications of the phase shift on unentangled single-photon states. We generalize Kitaev's phase estimation algorithm16 using adaptive measurement theory17-20 to achieve a standard deviation scaling at the Heisenberg limit. For the largest number of resources used (N5378), we estimate an unknown phase with a variance more than 10 dB below the standard quantum limit; achieving this variance would require more than 4,000 resources using standard interferometry. Our results represent a drastic reduction in the complexity of achieving quantum-enhanced measurement precision.en_US
dc.description.peerreviewedYesen_US
dc.description.publicationstatusYesen_AU
dc.format.extent740566 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglishen_US
dc.language.isoen_AU
dc.publisherNature Publishing Groupen_US
dc.publisher.placeEnglanden_US
dc.publisher.urihttp://www.nature.com/nature/index.htmlen_AU
dc.relation.ispartofstudentpublicationNen_AU
dc.relation.ispartofpagefrom393en_US
dc.relation.ispartofpageto397en_US
dc.relation.ispartofissue7168en_US
dc.relation.ispartofjournalNatureen_US
dc.relation.ispartofvolume450en_US
dc.rights.retentionYen_AU
dc.subject.fieldofresearchcode240402en_US
dc.titleEntanglement-free Heisenberg-limited phase estimationen_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 2007 Nature Publishing Group. 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.en_AU
gro.date.issued2007
gro.hasfulltextFull Text


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