2021-03-262005-01-013211249346WOS;000229368400065http://hdl.handle.net/10784/27409The 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.engSPRINGER-VERLAG WIENinfo:eu-repo/semantics/conferencePaperCoherent states2021-03-26Sicard, AOspina, JVelez, M10.1007/3-211-27389-1_65