Quantum hypercomputation—hype or computation?

Philosophy of Science 74 (3):347-363 (2007)
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Abstract

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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Amit Hagar
Indiana University, Bloomington

Citations of this work

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References found in this work

Hypercomputation.B. Jack Copeland - 2002 - Minds and Machines 12 (4):461-502.
Non-Turing Computers and Non-Turing Computability.Mark Hogarth - 1994 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1994:126-138.
Quantum speed-up of computations.Itamar Pitowsky - 2002 - Proceedings of the Philosophy of Science Association 2002 (3):S168-S177.

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