Quantum hypercomputation based on the dynamical algebra su(1, 1)

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dc.citation.journalTitleJournal Of Physics A-Mathematical And General
dc.contributor.authorSicard, A.
dc.contributor.authorOspina, J.
dc.contributor.authorVélez, M.
dc.contributor.departmentUniversidad EAFIT. Departamento de Cienciasspa
dc.contributor.researchgroupLógica y Computaciónspa
dc.creatorSicard, A.
dc.creatorOspina, J.
dc.creatorVélez, M.
dc.date.accessioned2021-03-26T21:32:04Z
dc.date.available2021-03-26T21:32:04Z
dc.date.issued2006-10-06
dc.description.abstractAn adaptation of Kieu's hypercomputational quantum algorithm (KHQA) is presented. The method that was used was to replace the Weyl-Heisenberg algebra by other dynamical algebra of low dimension that admits infinite-dimensional irreducible representations with naturally defined generalized coherent states. We have selected the Lie algebra , because this algebra possesses the necessary characteristics to realize the hypercomputation and also because such algebra has been identified as the dynamical algebra associated with many relatively simple quantum systems. In addition to an algebraic adaptation of KHQA over the algebra , we presented an adaptation of KHQA over some concrete physical referents: the infinite square well, the infinite cylindrical well, the perturbed infinite cylindrical well, the Pöschl-Teller potentials, the Holstein-Primakoff system and the Laguerre oscillator. We conclude that it is possible to have many physical systems within condensed matter and quantum optics in which it is possible to consider an implementation of KHQA. © 2006 IOP Publishing Ltd.eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=1885
dc.identifier.doi10.1088/0305-4470/39/40/018
dc.identifier.issn03054470
dc.identifier.otherWOS;000241543300021
dc.identifier.otherSCOPUS;2-s2.0-33748973579
dc.identifier.urihttp://hdl.handle.net/10784/27335
dc.languageeng
dc.publisherIOP PUBLISHING LTD
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-33748973579&doi=10.1088%2f0305-4470%2f39%2f40%2f018&partnerID=40&md5=7fb539723c7974c4c1cf1175cd99f5de
dc.rightshttps://v2.sherpa.ac.uk/id/publication/issn/0305-4470
dc.sourceJournal Of Physics A-Mathematical And General
dc.subjectCOHERENT STATESeng
dc.subjectLIE-ALGEBRAeng
dc.subjectALGORITHMeng
dc.subjectSYSTEMSeng
dc.titleQuantum hypercomputation based on the dynamical algebra su(1, 1)eng
dc.typearticleeng
dc.typeinfo:eu-repo/semantics/articleeng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
dc.type.localArtículospa

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