Possible topological quantum computation via khovanov homology: D-brane topological quantum computer

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dc.contributor.authorVélez, M.
dc.contributor.authorOspina, J.
dc.contributor.departmentUniversidad EAFIT. Departamento de Cienciasspa
dc.contributor.researchgroupLógica y Computaciónspa
dc.creatorVélez, M.
dc.creatorOspina, J.
dc.date.accessioned2021-03-26T21:35:21Z
dc.date.available2021-03-26T21:35:21Z
dc.date.issued2009-01-01
dc.description.abstractA model of a D-Brane Topological Quantum Computer (DBTQC) is presented and sustained. The model isbased on four-dimensional TQFTs of the Donaldson-Witten and Seiber-Witten kinds. It is argued that the DBTQC is able to compute Khovanov homology for knots, links and graphs. The DBTQC physically incorporates the mathematical process of categorification according to which the invariant polynomials for knots, links and graphs such as Jones, HOMFLY, Tutte and Bollobás-Riordan polynomials can be computed as the Euler characteristics corresponding to special homology complexes associated with knots, links and graphs. The DBTQC is conjectured as a powerful universal quantum computer in the sense that the DBTQC computes Khovanov homology which is considered like powerful that the Jones polynomial. © 2009 SPIE.eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=2442
dc.identifier.doi10.1117/12.818551
dc.identifier.issn0277786X
dc.identifier.issn1996756X
dc.identifier.otherWOS;000311280400019
dc.identifier.otherSCOPUS;2-s2.0-69849093047
dc.identifier.urihttp://hdl.handle.net/10784/27421
dc.language.isoengeng
dc.publisherSPIE-INT SOC OPTICAL ENGINEERING
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-69849093047&doi=10.1117%2f12.818551&partnerID=40&md5=4ef3e6ca0191818dab1fb4b63eefd68e
dc.rightshttps://v2.sherpa.ac.uk/id/publication/issn/0277-786X
dc.sourceProceedings of SPIE
dc.subject.keyword4d-TQFTseng
dc.subject.keywordD-braneeng
dc.subject.keywordD-Brane Topological Quantum Computationeng
dc.subject.keywordDonaldsoneng
dc.subject.keywordEuler characteristiceng
dc.subject.keywordInvariant polynomialseng
dc.subject.keywordJones polynomialeng
dc.subject.keywordKhovanov Homologyeng
dc.subject.keywordQuantum computationeng
dc.subject.keywordGraph theoryeng
dc.subject.keywordMathematical operatorseng
dc.subject.keywordPolynomialseng
dc.subject.keywordQuantum opticseng
dc.subject.keywordQuantum theoryeng
dc.subject.keywordQuantum computerseng
dc.titlePossible topological quantum computation via khovanov homology: D-brane topological quantum computereng
dc.typeinfo:eu-repo/semantics/conferencePapereng
dc.typeconferencePapereng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
dc.type.localDocumento de conferenciaspa

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