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dc.creatorVélez, M.
dc.creatorOspina, J.
dc.date.available2021-03-26T21:35:21Z
dc.date.issued2009-01-01
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=2442
dc.identifierhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-69849093047&doi=10.1117%2f12.818551&partnerID=40&md5=4ef3e6ca0191818dab1fb4b63eefd68e
dc.identifier.urihttp://hdl.handle.net/10784/27421
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.
dc.languageeng
dc.publisherSPIE-INT SOC OPTICAL ENGINEERING
dc.relationDOI;10.1117/12.818551
dc.relationWOS;000311280400019
dc.relationSCOPUS;2-s2.0-69849093047
dc.rightshttps://v2.sherpa.ac.uk/id/publication/issn/0277-786X
dc.sourceProceedings of SPIE
dc.sourceISSN: 0277786X
dc.sourceISSN: 1996756X
dc.subject4d-TQFTs; D-brane; D-Brane Topological Quantum Computation; Donaldson; Euler characteristic; Invariant polynomials; Jones polynomial; Khovanov Homology; Quantum computation; Graph theory; Mathematical operators; Polynomials; Quantum optics; Quantum theory; Quantum computers
dc.titlePossible topological quantum computation via khovanov homology: D-brane topological quantum computer
dc.typeConference Paper
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.date.accessioned2021-03-26T21:35:21Z


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