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Quantum reference frames associated with non-compact groups: the case of translations and boosts, and the role of mass

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dc.contributor.authorSmith, Alexander R. H.
dc.contributor.authorPiani, Marco
dc.contributor.authorMann, Robert B.
dc.date.accessioned2022-03-11T19:07:18Z
dc.date.available2022-03-11T19:07:18Z
dc.date.issued2016-03
dc.descriptionThe author has the right to post and update the article on a free-access e-print server using files prepared and formatted by the author. Any such posting made or updated after acceptance of the article for publication by APS should include a link to the online APS journal article abstract. In all cases, the appropriate bibliographic citation and notice of the APS copyright must be included.en
dc.description.abstractQuantum communication without a shared reference frame or the construction of a relational quantum theory requires the notion of a quantum reference frame. We analyze aspects of quantum reference frames associated with non-compact groups, specifically the group of spatial translations and Galilean boosts. We begin by demonstrating how the usually employed group average, used to dispense of the notion of an external reference frame, leads to unphysical states when applied to reference frames associated with non-compact groups. However, we show that this average does lead naturally to a reduced state on the relative degrees of freedom of a system, which was previously considered by Angelo et al. [1]. We then study in detail the informational properties of this reduced state for systems of two and three particles in Gaussian states.en
dc.description.sponsorshipNatural Sciences and Engineering Research Council of Canada || European Union’s Horizon 2020 research || Innovation programme under the Marie Sklodowska-Curie, Grant 661338.en
dc.identifier.urihttps://doi.org/10.1103/PhysRevA.94.012333
dc.identifier.urihttp://hdl.handle.net/10012/18107
dc.language.isoenen
dc.publisherAmerican Physical Societyen
dc.relation.ispartofseriesPhysical review A;
dc.subjectquantum communicationen
dc.subjectquantum theoryen
dc.subjectquantum reference frameen
dc.titleQuantum reference frames associated with non-compact groups: the case of translations and boosts, and the role of massen
dc.typeArticleen
dcterms.bibliographicCitationSmith, A. R. H., Piani, M., & Mann, R. B. (2016). Quantum reference frames associated with noncompact groups: The case of translations and boosts and the role of mass. Physical Review A, 94(1), 012333. https://doi.org/10.1103/PhysRevA.94.012333en
uws.contributor.affiliation1Faculty of Scienceen
uws.contributor.affiliation2Institute of Quantum Computing (IQR)en
uws.contributor.affiliation2Physics and Astronomyen
uws.peerReviewStatusRevieweden
uws.scholarLevelFacultyen
uws.typeOfResourceTexten

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