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Published in:
2005 | OriginalPaper | Chapter
Numerical Simulations of a Possible Hypercomputational Quantum Algorithm
Authors : Andrés Sicard, Juan Ospina, Mario Vélez
Published in: Adaptive and Natural Computing Algorithms
Publisher: Springer Vienna
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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.