Using computer algebra for Yang-Baxterization applied to quantum computing

Vista sencilla de ítem
dc.contributor.authorVelez, Mario
dc.contributor.authorOspina, Juan
dc.contributor.departmentUniversidad EAFIT. Departamento de Cienciasspa
dc.contributor.researchgroupLógica y Computaciónspa
dc.creatorVelez, Mario
dc.creatorOspina, Juan
dc.date.accessioned2021-03-26T21:35:19Z
dc.date.available2021-03-26T21:35:19Z
dc.date.issued2006-05-12
dc.description.abstractUsing Computer Algebra Software (Mathematica and Maple), the recently introduced topic of Yang-Baxterization applied to quantum computing, is explored from the mathematical and computational views. Some algorithms of computer algebra were elaborated with the aim to make the calculations to obtain some of results that were originally presented in the paper by Shang-Kauffman-Ge. Also certain new results about computational Yang-baxterization are presented. We obtain some Hamiltonians for hypothetical physical systems which can be realized within the domain of spin chains and certain diffusion process. We conclude that it is possible to have real physical systems on which implement, via Yang-baxterization, the standard quantum gates with topological protection. Finally some lines for future research are deligned.eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=1621
dc.identifier.doi10.1117/12.666115
dc.identifier.issn0277786X
dc.identifier.issn1996756X
dc.identifier.otherWOS;000239229500033
dc.identifier.otherSCOPUS;2-s2.0-33747372843
dc.identifier.urihttp://hdl.handle.net/10784/27403
dc.language.isoengeng
dc.publisherSPIE-INT SOC OPTICAL ENGINEERING
dc.relation.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-33747372843&doi=10.1117%2f12.666115&partnerID=40&md5=b4c6dc01c508788fa122e1eaf98ffece
dc.rightshttps://v2.sherpa.ac.uk/id/publication/issn/0277-786X
dc.sourceProceedings of SPIE
dc.subject.keywordAlgorithmseng
dc.subject.keywordComputation theoryeng
dc.subject.keywordComputer softwareeng
dc.subject.keywordDiffusioneng
dc.subject.keywordHamiltonianseng
dc.subject.keywordQuantum theoryeng
dc.subject.keywordComputer algebraeng
dc.subject.keywordSpin Chaineng
dc.subject.keywordUniversal Quantum Gateeng
dc.subject.keywordYang-Baxter Equationeng
dc.subject.keywordYang-Baxterizationeng
dc.subject.keywordBoolean algebraeng
dc.titleUsing computer algebra for Yang-Baxterization applied to quantum computingeng
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