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dc.contributor.authorReginatto, M
dc.contributor.authorHall, MJW
dc.date.accessioned2019-05-29T13:09:32Z
dc.date.available2019-05-29T13:09:32Z
dc.date.issued2018
dc.identifier.issn1742-6588
dc.identifier.doi10.1088/1742-6596/1071/1/012017
dc.identifier.urihttp://hdl.handle.net/10072/381496
dc.description.abstractA quantum mechanical spin-half system may be characterized abstractly as having a set of two-valued observables which generate infinitesimal rotations in three dimensions. We consider a concrete realization of such a two-level system within the formalism of ensembles on configuration space, an approach which is not only capable of describing quantum mechanical systems but allows also for theories that are generalizations of quantum theory. Such a spin-half system may be called a rotational bit or robit, to distinguish it from the standard quantum qubit. After reviewing ensembles on configuration space and examining the example of constructing representations of the Galilean Lie algebra for the free particle, we construct probabilistic models for ensembles that consist of one and two spin-half systems. In the case of a single spin-half system, there are two main requirements: the configuration space must be a discrete set, labeling the outcomes of two-valued spin observables, and these observables must provide an algebraic representation of so(3). The case of a pair of spin-half systems is more complicated, in that additional physical requirements concerning locality and subsystem independence must also be taken into account and now the observables must provide an algebraic representation of so(3) ⊕ so(3). We compare the resulting theories to the corresponding quantum mechanical systems.
dc.description.peerreviewedYes
dc.languageEnglish
dc.language.isoeng
dc.publisherInstitute of Physics Publishing
dc.publisher.placeUnited Kingdom
dc.relation.ispartofchapter12017
dc.relation.ispartofpagefrom1
dc.relation.ispartofpageto11
dc.relation.ispartofjournalJournal of Physics: Conference Series
dc.relation.ispartofvolume1071
dc.subject.fieldofresearchFoundations of quantum mechanics
dc.subject.fieldofresearchAtomic, molecular and optical physics
dc.subject.fieldofresearchCondensed matter physics
dc.subject.fieldofresearchOther physical sciences
dc.subject.fieldofresearchOther physical sciences not elsewhere classified
dc.subject.fieldofresearchcode510802
dc.subject.fieldofresearchcode5102
dc.subject.fieldofresearchcode5104
dc.subject.fieldofresearchcode5199
dc.subject.fieldofresearchcode519999
dc.titleOn local representations of rotations on discrete configuration spaces
dc.typeConference output
dc.type.descriptionE1 - Conferences
dc.type.codeC - Journal Articles
dcterms.licensehttps://creativecommons.org/licenses/by/3.0/
dc.description.versionVersion of Record (VoR)
gro.rights.copyright© The Author(s) 2018. Content from this work may be used under the terms of theCreative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Published under licence by IOP Publishing Ltd
gro.hasfulltextFull Text
gro.griffith.authorHall, Michael J.


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