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Numerical simulations of a possible hypercomputational quantum algorithm

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dc.contributor.authorSicard, A
dc.contributor.authorOspina, J
dc.contributor.authorVelez, M
dc.contributor.departmentUniversidad EAFIT. Departamento de Cienciasspa
dc.contributor.researchgroupLógica y Computaciónspa
dc.date.accessioned2021-03-26T21:35:20Z
dc.date.available2021-03-26T21:35:20Z
dc.date.issued2005-01-01
dc.description.abstractThe hypercomputers compute functions or numbers, or more generally solve problems or carry out tasks, that cannot be computed or solved by a Turing machine. Several numerical simulations of a possible hypercomputational algorithm based on quantum computations previously constructed by the authors are presented. The hypercomputability of our algorithm is based on the fact that this algorithm could solve a classically non-computable decision problem, the Hilbert's tenth problem. The numerical simulations were realized for three types of Diophantine equations: with and without solutions in non-negative integers, and without solutions by way of various traditional mathematical packages.eng
dc.identifierhttps://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=2069
dc.identifier.doi10.1007/3-211-27389-1_65
dc.identifier.isbn3211249346
dc.identifier.otherWOS;000229368400065
dc.identifier.urihttps://hdl.handle.net/10784/27409
dc.language.isoeng
dc.publisherSPRINGER-VERLAG WIEN
dc.rightsSPRINGER-VERLAG WIEN
dc.sourceAdaptive And Natural Computing Algorithms
dc.subject.keywordCoherent stateseng
dc.titleNumerical simulations of a possible hypercomputational quantum algorithm
dc.typeinfo:eu-repo/semantics/conferencePaper
dc.type.coarversionhttp://purl.org/coar/resource_type/c_8544
dc.type.localDocumento de conferenciaspa
dc.type.versioninfo:eu-repo/semantics/publishedVersion
dspace.entity.typePublication

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