Numerical Simulations of a Possible Hypercomputational Quantum Algorithm

Details Numerical Simulations of a Possible Hypercomputational Quantum Algorithm Numerical Simulations of a Possible Hypercomputational Quantum Algorithm

2005-04-05

arxiv.org/abs/quant-ph/0504021v1

In "Adaptive and Natural Computing Algorithms. Proc. of the International Conference in Coimbra, Portugal". Bernardete Ribeiro

Physics

Quantum Physics

4 pages, 3 figures, uses icannga05.sty

Scientific paper

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.

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