Two qutrits universal quantum gates from the nine-dimensional unitary solutions of the Yang-Baxter equation

Vista sencilla de ítem
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.issued2007-04-25
dc.description.abstractUsing the Kauffman-Lomonaco method, some two-qutrits universal quantum gates are derived from the nine-dimensional unitary solutions of the Yang-Baxter equations associated with algebraic structures like the partial transpose operator and the dihedral group, which admit three dimensional representations. The Yang-Baxterization method given by Zhang-Kauffman-Ge is continuously used to obtain two-qutrits quantum gates and certain Hamiltonians for the evolution of the quantum gates are obtained, being such Hamiltonians interpreted as physical Hamiltonians of chain of particles of spin 1. Finally, the generalization for systems of two qudits is presented in the case of Yang-Baxterization of representations of braided monoidal algebra like the BH algebra and the bicolored Birman-Wenzl-Muraki algebra For these algebras the corresponding two-qudits quantum gates are constructed jointly with the associated Hamiltonians interpreted like physical chains of particles with spin d . It is conjectured that the derived two-qdits quantum gates and the Hamiltonians may be implemented over bi-dimensional lattice systems like anyons systems or more generally over any physical systems ruled by the Yang-Baxter equations.eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=2456
dc.identifier.doi10.1117/12.718264
dc.identifier.issn0277786X
dc.identifier.issn1996756X
dc.identifier.otherWOS;000247640400025
dc.identifier.otherSCOPUS;2-s2.0-35948994969
dc.identifier.urihttp://hdl.handle.net/10784/27424
dc.language.isoengeng
dc.publisherSPIE-INT SOC OPTICAL ENGINEERING
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-35948994969&doi=10.1117%2f12.718264&partnerID=40&md5=786ebf65749c4236786b64c9c87e272a
dc.rightshttps://v2.sherpa.ac.uk/id/publication/issn/0277-786X
dc.sourceProceedings of SPIE
dc.subject.keywordKauffman-Lomonaco methodeng
dc.subject.keywordQutrits universal quantum gateseng
dc.subject.keywordYang-Baxter equationeng
dc.subject.keywordZhang-Kauffman-Geeng
dc.subject.keywordAlgebraeng
dc.subject.keywordComputer simulationeng
dc.subject.keywordHamiltonianseng
dc.subject.keywordQuantum theoryeng
dc.subject.keywordQuantum computerseng
dc.titleTwo qutrits universal quantum gates from the nine-dimensional unitary solutions of the Yang-Baxter equationeng
dc.typeinfo:eu-repo/semantics/conferencePapereng
dc.typeconferencePapereng
dc.typeinfo:eu-repo/semantics/publishedVersioneng
dc.typepublishedVersioneng
dc.type.localDocumento de conferenciaspa

Archivos

Colecciones

Documentos de conferencia