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dc.contributor.authorKaranjai, Angela
dc.contributor.authorCavalcanti, Eric G
dc.contributor.authorBartlett, Stephen D
dc.contributor.authorRudolph, Terry
dc.date.accessioned2018-01-18T23:50:13Z
dc.date.available2018-01-18T23:50:13Z
dc.date.issued2015
dc.identifier.issn1367-2630
dc.identifier.doi10.1088/1367-2630/17/7/073015
dc.identifier.urihttp://hdl.handle.net/10072/172509
dc.description.abstractWeak measurement of a quantum system followed by postselection based on a subsequent strong measurement gives rise to a quantity called the weak value: a complex number for which the interpretation has long been debated.Weanalyse the procedure of weak measurement and postselection, and the interpretation of the associated weak value, using a theory of classical mechanics supplemented by an epistemic restriction that is known to be operationally equivalent to a subtheory of quantum mechanics. Both the real and imaginary components of the weak value appear as phase space displacements in the postselected expectation values of the measurement deviceʼs position and momentum distributions, and we recover the same displacements as in the quantum case by studying the corresponding evolution in our theory of classical mechanics with an epistemic restriction. By using this epistemically restricted theory, we gain insight into the appearance of the weak value as a result of the statistical effects of post selection, and this provides us with an operational interpretation of the weak value, both its real and imaginary parts.Wefind that the imaginary part of the weak value is a measure of how much postselection biases the mean phase space distribution for a given amount of measurement disturbance. All such biases proportional to the imaginary part of the weak value vanish in the limit where disturbance due to measurement goes to zero. Our analysis also offers intuitive insight into how measurement disturbance can be minimized and the limits of weak measurement.
dc.description.peerreviewedYes
dc.languageEnglish
dc.language.isoeng
dc.publisherInstitute of Physics Publishing
dc.relation.ispartofpagefrom073015-1
dc.relation.ispartofpageto073015-12
dc.relation.ispartofjournalNew Journal of Physics
dc.relation.ispartofvolume17
dc.subject.fieldofresearchQuantum Physics not elsewhere classified
dc.subject.fieldofresearchPhysical Sciences
dc.subject.fieldofresearchcode020699
dc.subject.fieldofresearchcode02
dc.titleWeak values in a classical theory with an epistemic restriction
dc.typeJournal article
dc.type.descriptionC1 - Articles
dc.type.codeC - Journal Articles
dcterms.licensehttps://creativecommons.org/licenses/by/3.0/
dc.description.versionVersion of Record (VoR)
gro.rights.copyright©2015 IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. This is an Open Access article distributed under the terms of the Creative Commons Attribution 3.0 Unported (CC BY 3.0) License (https://creativecommons.org/licenses/by/3.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
gro.hasfulltextFull Text
gro.griffith.authorCavalcanti, Eric G.


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