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dc.contributor.authorBartlett, S.en_US
dc.contributor.authorBerry, D.en_US
dc.contributor.authorHiggins, Brendonen_US
dc.contributor.authorMitchell, M.en_US
dc.contributor.authorPryde, Geoffen_US
dc.contributor.authorWiseman, Howarden_US
dc.date.accessioned2017-04-04T20:57:50Z
dc.date.available2017-04-04T20:57:50Z
dc.date.issued2009en_US
dc.date.modified2010-08-27T06:56:27Z
dc.identifier.issn10502947en_US
dc.identifier.doi10.1103/PhysRevA.80.052114en_AU
dc.identifier.urihttp://hdl.handle.net/10072/30941
dc.description.abstractWe present the theory of how to achieve phase measurements with the minimum possible variance in ways that are readily implementable with current experimental techniques. Measurements whose statistics have high-frequency fringes, such as those obtained from maximally path-entangled (|N,0?+|0,N?)/v2 ("NOON") states, have commensurately high information yield (as quantified by the Fisher information). However, this information is also highly ambiguous because it does not distinguish between phases at the same point on different fringes. We provide schemes to eliminate this phase ambiguity in a highly efficient way, providing phase estimates with uncertainty that is within a small constant factor of the Heisenberg limit, the minimum allowed by the laws of quantum mechanics. These techniques apply to NOON state and multipass interferometry, as well as phase measurements in quantum computing. We have reported the experimental implementation of some of these schemes with multipass interferometry elsewhere. Here, we present the theoretical foundation and also present some additional experimental results. There are three key innovations to the theory in this paper. First, we examine the intrinsic phase properties of the sequence of states (in multiple time modes) via the equivalent two-mode state. Second, we identify the key feature of the equivalent state that enables the optimal scaling of the intrinsic phase uncertainty to be obtained. This enables us to identify appropriate combinations of states to use. The remaining difficulty is that the ideal phase measurements to achieve this intrinsic phase uncertainty are often not physically realizable. The third innovation is to solve this problem by using realizable measurements that closely approximate the optimal measurements, enabling the optimal scaling to be preserved. We consider both adaptive and nonadaptive measurement schemes.en_US
dc.description.peerreviewedYesen_US
dc.description.publicationstatusYesen_AU
dc.format.extent772559 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglishen_US
dc.language.isoen_AU
dc.publisherAmerican Physical Societyen_US
dc.publisher.placeUSAen_US
dc.publisher.urihttp://pra.aps.org/en_AU
dc.relation.ispartofstudentpublicationNen_AU
dc.relation.ispartofpagefrom052114-1en_US
dc.relation.ispartofpageto052114-22en_US
dc.relation.ispartofissue5en_AU
dc.relation.ispartofjournalPhysical Review A (Atomic, Molecular and Optical Physics)en_US
dc.relation.ispartofvolume80en_US
dc.rights.retentionYen_AU
dc.subject.fieldofresearchQuantum Information, Computation and Communicationen_US
dc.subject.fieldofresearchQuantum Opticsen_US
dc.subject.fieldofresearchcode020603en_US
dc.subject.fieldofresearchcode020604en_US
dc.titleHow to perform the most accurate possible phase measurementsen_US
dc.typeJournal articleen_US
dc.type.descriptionC1 - Peer Reviewed (HERDC)en_US
dc.type.codeC - Journal Articlesen_US
gro.rights.copyrightCopyright 2009 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's website for access to the definitive, published version.en_AU
gro.date.issued2009
gro.hasfulltextFull Text


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