Numerical Simulations of a Possible Hypercomputational Quantum Algorithm
| dc.creator | Sicard, Andrés | |
| dc.creator | Ospina, Juan | |
| dc.creator | Vélez, Mario | |
| dc.date | 2005-04-05 | |
| dc.date.accessioned | 2026-07-07T06:12:30Z | |
| dc.date.available | 2026-07-07T06:12:30Z | |
| dc.description | 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, 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. | |
| dc.description | 4 pages, 3 figures, uses icannga05.sty | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0504021 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0504021 | |
| dc.identifier | In "Adaptive and Natural Computing Algorithms. Proc. of the International Conference in Coimbra, Portugal". Bernardete Ribeiro et al. (eds.). SpringerWienNewYork, 2005. p. 272--275 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/92802 | |
| dc.subject | Quantum Physics | |
| dc.subject | Logic in Computer Science | |
| dc.title | Numerical Simulations of a Possible Hypercomputational Quantum Algorithm | |
| dc.type | text |