Quantum Hypercomputation—Hype or Computation?

Amit Hagar, Alexandre Korolev · Philosophy of Science · 2007

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.

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