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29 March 2024
 
  » arxiv » quant-ph/0504021

 Article overview


Numerical Simulations of a Possible Hypercomputational Quantum Algorithm
Andrés Sicard ; Juan Ospina ; Mario Vélez ;
Date 5 Apr 2005
Journal In "Adaptive and Natural Computing Algorithms. Proc. of the International Conference in Coimbra, Portugal". Bernardete Ribeiro et al. (eds.). SpringerWienNewYork, 2005. p. 272--275
Subject Quantum Physics; Logic in Computer Science | quant-ph cs.LO
AbstractThe 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.
Source arXiv, quant-ph/0504021
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