Numerical simulations of a possible hypercomputational quantum algorithm
dc.contributor.author | Sicard, A | |
dc.contributor.author | Ospina, J | |
dc.contributor.author | Velez, M | |
dc.contributor.department | Universidad EAFIT. Departamento de Ciencias | spa |
dc.contributor.researchgroup | Lógica y Computación | spa |
dc.creator | Sicard, A | |
dc.creator | Ospina, J | |
dc.creator | Velez, M | |
dc.date.accessioned | 2021-03-26T21:35:20Z | |
dc.date.available | 2021-03-26T21:35:20Z | |
dc.date.issued | 2005-01-01 | |
dc.description.abstract | The 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.identifier | https://eafit.fundanetsuite.com/Publicaciones/ProdCientif/PublicacionFrw.aspx?id=2069 | |
dc.identifier.doi | 10.1007/3-211-27389-1_65 | |
dc.identifier.isbn | 3211249346 | |
dc.identifier.other | WOS;000229368400065 | |
dc.identifier.uri | http://hdl.handle.net/10784/27409 | |
dc.language.iso | eng | eng |
dc.publisher | SPRINGER-VERLAG WIEN | |
dc.rights | SPRINGER-VERLAG WIEN | |
dc.source | Adaptive And Natural Computing Algorithms | |
dc.subject.keyword | Coherent states | eng |
dc.title | Numerical simulations of a possible hypercomputational quantum algorithm | eng |
dc.type | info:eu-repo/semantics/conferencePaper | eng |
dc.type | conferencePaper | eng |
dc.type | info:eu-repo/semantics/publishedVersion | eng |
dc.type | publishedVersion | eng |
dc.type.local | Documento de conferencia | spa |