Quantum Hypercomputation--Hype or Computation?

A recent attempt to compute a (recursion-theoretic) noncomputable function using the quantum adiabatic algorithm is criticized and found wanting. Quantum algorithms may outperform classical algorithms in some cases, but so far they retain the classical (recursion-theoretic) notion of computability....

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Detalles Bibliográficos
Publicado en:Philosophy of Science Vol. 74; no. 3; pp. 347 - 364
Autores principales: Hagar, Amit, Korolev, Alex
Formato: Artículo
Publicado: Cambridge University Press Jul2007
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Acceso en línea:Ver este registro en EBSCOhost
Descripción
Sumario:A recent attempt to compute a (recursion-theoretic) noncomputable function using the quantum adiabatic algorithm is criticized and found wanting. Quantum algorithms may outperform classical algorithms in some cases, but so far they retain the classical (recursion-theoretic) notion of computability. A speculation is then offered as to where the putative power of quantum computers may come from.