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dc.contributor.authorGambetta, J
dc.contributor.authorWiseman, HM
dc.date.accessioned2017-05-03T11:51:15Z
dc.date.available2017-05-03T11:51:15Z
dc.date.issued2005
dc.date.modified2009-10-08T06:30:42Z
dc.identifier.issn1464-4266
dc.identifier.doi10.1088/1464-4266/7/10/008
dc.identifier.urihttp://hdl.handle.net/10072/4933
dc.description.abstractIn a partially observed quantum or classical system the information that we cannot access results in our description of the system becoming mixed, even if we have perfect initial knowledge. That is, if the system is quantum the conditional state will be given by a state matrix ?r(t), and if classical, the conditional state will be given by a probability distribution Pr(x,t), where r is the result of the measurement. Thus to determine the evolution of this conditional state, under continuous-in-time monitoring, requires a numerically expensive calculation. In this paper we demonstrate a numerical technique based on linear measurement theory that allows us to determine the conditional state using only pure states. That is, our technique reduces the problem size by a factor of N, the number of basis states for the system. Furthermore we show that our method can be applied to joint classical and quantum systems such as arise in modelling realistic (finite bandwidth, noisy) measurement.
dc.description.peerreviewedYes
dc.description.publicationstatusYes
dc.format.extent344446 bytes
dc.format.mimetypeapplication/pdf
dc.languageEnglish
dc.language.isoeng
dc.publisherInstitute of Physics Publishing Ltd
dc.publisher.placeBristol, UK
dc.publisher.urihttps://www.iop.org/
dc.relation.ispartofstudentpublicationN
dc.relation.ispartofpagefromS250
dc.relation.ispartofpagetoS264
dc.relation.ispartofjournalJournal of Optics B: Quantum and semiclassical optics
dc.relation.ispartofvolume7
dc.rights.retentionY
dc.subject.fieldofresearchcode240402
dc.titleStochastic simulations of conditional states of partially observed systems, quantum and classical
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
gro.rights.copyright© 2005 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.issued2005
gro.hasfulltextFull Text
gro.griffith.authorWiseman, Howard M.


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