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dc.contributor.authorSimon, David S.en_US
dc.contributor.authorFitzpatrick, Casey A.en_US
dc.contributor.authorSergienko, Alexander V.en_US
dc.date.accessioned2020-01-07T16:17:59Z
dc.date.available2020-01-07T16:17:59Z
dc.date.issued2015-04-06
dc.identifierhttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000352187900010&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=6e74115fe3da270499c3d65c9b17d654
dc.identifier.citationDavid S Simon, Casey A Fitzpatrick, Alexander V Sergienko. 2015. "Discrimination and synthesis of recursive quantum states in high-dimensional Hilbert spaces." PHYSICAL REVIEW A, Volume 91, Issue 4, pp. ? - ? (8). https://doi.org/10.1103/PhysRevA.91.043806
dc.identifier.issn2469-9926
dc.identifier.issn2469-9934
dc.identifier.urihttps://hdl.handle.net/2144/39051
dc.description.abstractWe propose an interferometric method for statistically discriminating between nonorthogonal states in high-dimensional Hilbert spaces for use in quantum information processing. The method is illustrated for the case of photon orbital angular momentum (OAM) states. These states belong to pairs of bases that are mutually unbiased on a sequence of two-dimensional subspaces of the full Hilbert space, but the vectors within the same basis are not necessarily orthogonal to each other. Over multiple trials, this method allows distinguishing OAM eigenstates from superpositions of multiple such eigenstates. Variations of the same method are then shown to be capable of preparing and detecting arbitrary linear combinations of states in Hilbert space. One further variation allows the construction of chains of states obeying recurrence relations on the Hilbert space itself, opening a new range of possibilities for more abstract information-coding algorithms to be carried out experimentally in a simple manner. Among other applications, we show that this approach provides a simplified means of switching between pairs of high-dimensional mutually unbiased OAM bases.en_US
dc.description.sponsorshipThis research was supported by the Defense Advanced Research Project Agency QUINESS program through US Army Research Office Award No. W31P4Q-12-1-0015 and by the NSF under Grant No. ECCS-1309209. (W31P4Q-12-1-0015 - Defense Advanced Research Project Agency QUINESS program through US Army Research Office; ECCS-1309209 - NSF)en_US
dc.format.extent8 p.en_US
dc.languageEnglish
dc.language.isoen_US
dc.publisherAMER PHYSICAL SOCen_US
dc.relation.ispartofPHYSICAL REVIEW A
dc.subjectScience & technologyen_US
dc.subjectPhysical sciencesen_US
dc.subjectOpticsen_US
dc.subjectPhysics, atomic, molecular & chemicalen_US
dc.subjectPhysicsen_US
dc.subjectOrbital angular-momentumen_US
dc.subjectLight-scatteringen_US
dc.subjectVogel spiralsen_US
dc.subjectSpectraen_US
dc.subjectModesen_US
dc.titleDiscrimination and synthesis of recursive quantum states in high-dimensional Hilbert spacesen_US
dc.typeArticleen_US
dc.description.versionPublished versionen_US
dc.identifier.doi10.1103/PhysRevA.91.043806
pubs.elements-sourceweb-of-scienceen_US
pubs.notesEmbargo: Not knownen_US
pubs.organisational-groupBoston Universityen_US
pubs.organisational-groupBoston University, College of Engineeringen_US
pubs.organisational-groupBoston University, College of Engineering, Department of Electrical & Computer Engineeringen_US
pubs.publication-statusPublisheden_US
dc.identifier.orcid0000-0003-0542-1405 (Sergienko, Alexander V)
dc.identifier.mycv41481


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