A framework for phase and interference in generalized probabilistic theories

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dc.identifier.uri http://dx.doi.org/10.15488/1545
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/1570
dc.contributor.author Garner, Andrew J.P.
dc.contributor.author Dahlsten, Oscar C.O.
dc.contributor.author Nakata, Yoshifumi
dc.contributor.author Murao, Mio
dc.contributor.author Vedral, Vlatko
dc.date.accessioned 2017-05-30T11:42:03Z
dc.date.available 2017-05-30T11:42:03Z
dc.date.issued 2013
dc.identifier.citation Garner, A.J.P.; Dahlsten, O.C.O.; Nakata, Y.; Murao, M.; Vedral, V.: A framework for phase and interference in generalized probabilistic theories. In: New Journal of Physics 15 (2013), 93044. DOI: https://doi.org/10.1088/1367-2630/15/9/093044
dc.description.abstract Phase plays a crucial role in many quantum effects including interference. Here we lay the foundations for the study of phase in probabilistic theories more generally. Phase is normally defined in terms of complex numbers that appear when representing quantum states as complex vectors. Here we give an operational definition whereby phase is instead defined in terms of measurement statistics. Our definition is phrased in terms of the operational framework known as generalized probabilistic theories or the convex framework. The definition makes it possible to ask whether other theories in this framework can also have phase. We apply our definition to investigate phase and interference in several example theories: classical probability theory, a version of Spekkens' toy model, quantum theory and box-world. We find that phase is ubiquitous; any non-classical theory can be said to have non-trivial phase dynamics. eng
dc.language.iso eng
dc.publisher Bristol : Institute of Physics Publishing
dc.relation.ispartofseries New Journal of Physics 15 (2013)
dc.rights CC BY 3.0 Unported
dc.rights.uri https://creativecommons.org/licenses/by/3.0/
dc.subject Classical probabilities eng
dc.subject Complex number eng
dc.subject Complex vectors eng
dc.subject Operational definition eng
dc.subject Phase dynamics eng
dc.subject Probabilistic theory eng
dc.subject Quantum effects eng
dc.subject Quantum state eng
dc.subject Physics eng
dc.subject Research eng
dc.subject Quantum electronics eng
dc.subject.ddc 530 | Physik ger
dc.title A framework for phase and interference in generalized probabilistic theories eng
dc.type article
dc.type Text
dc.relation.issn 1367-2630
dc.relation.doi https://doi.org/10.1088/1367-2630/15/9/093044
dc.bibliographicCitation.volume 15
dc.bibliographicCitation.firstPage 93044
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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