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Simple factorization of unitary transformations

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dc.contributor.authorde Guise, Hubert
dc.contributor.authorDi Matteo, Olivia
dc.contributor.authorSánchez Soto, Luis Lorenzo
dc.date.accessioned2023-06-17T12:26:21Z
dc.date.available2023-06-17T12:26:21Z
dc.date.issued2018-02-20
dc.description©2018 American Physical Society. The work of H.d.G. and O.D.M. is supported by NSERC of Canada. I.Q.C. is supported in part by the Government of Canada and the Province of Ontario. O.D.M. is also grateful for hospitality at the MPL. L.L.S.S. acknowledges financial support from the Spanish MINECO (Grant No. FIS2015- 67963-P). We thank L. Rudnicki for helpful discussions.
dc.description.abstractWe demonstrate a method for general linear optical networks that allows one to factorize any SU(n) matrix in terms of two SU(n-1) blocks coupled by an SU(2) entangling beam splitter. The process can be recursively continued in a straightforward way, ending in a tidy arrangement of SU(2) transformations. The method hinges only on a linear relationship between input and output states, and can thus be applied to a variety of scenarios, such as microwaves, acoustics, and quantum fields.
dc.description.departmentDepto. de Óptica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Economía y Competitividad (MINECO)
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/46915
dc.identifier.doi10.1103/PhysRevA.97.022328
dc.identifier.issn2469-9926
dc.identifier.officialurlhttp://dx.doi.org/10.1103/PhysRevA.97.022328
dc.identifier.relatedurlhttps://journals.aps.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/11995
dc.issue.number2
dc.journal.titlePhysical review A
dc.language.isoeng
dc.publisherAmerican Physical Society
dc.relation.projectIDFIS2015-67963-P
dc.rights.accessRightsopen access
dc.subject.cdu535
dc.subject.keywordExperimental realization
dc.subject.keywordQuantum computation
dc.subject.keywordLinear optics
dc.subject.keywordMatrices
dc.subject.keywordInterferometers
dc.subject.keywordProcessor
dc.subject.keywordStates
dc.subject.keywordSU(3)
dc.subject.ucmÓptica (Física)
dc.subject.unesco2209.19 Óptica Física
dc.titleSimple factorization of unitary transformations
dc.typejournal article
dc.volume.number97
dspace.entity.typePublication
relation.isAuthorOfPublication88b797ff-cbd7-4498-a9c7-4e39f4fa4776
relation.isAuthorOfPublication.latestForDiscovery88b797ff-cbd7-4498-a9c7-4e39f4fa4776

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