Quantum hypercomputation

Minds and Machines 12 (4):541-561 (2002)

Abstract
We explore the possibility of using quantum mechanical principles for hypercomputation through the consideration of a quantum algorithm for computing the Turing halting problem. The mathematical noncomputability is compensated by the measurability of the values of quantum observables and of the probability distributions for these values. Some previous no-go claims against quantum hypercomputation are then reviewed in the light of this new positive proposal.
Keywords Hilbert's tenth problem   quantum adiabatic theorem   quantum computation
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Reprint years 2004
DOI 10.1023/A:1021130831101
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The Physical Church-Turing Thesis: Modest or Bold?Gualtiero Piccinini - 2011 - British Journal for the Philosophy of Science 62 (4):733-769.
Quantum Algorithms: Philosophical Lessons.Amit Hagar - 2007 - Minds and Machines 17 (2):233-247.
Quantum Hypercomputation—Hype or Computation?Amit Hagar & Alex Korolev - 2007 - Philosophy of Science 74 (3):347-363.
Quantum Hypercomputability?Amit Hagar & Alexandre Korolev - 2006 - Minds and Machines 16 (1):87-93.

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