Quantum Hypercomputation

Author: Kieu T.D.

Source: Minds and Machines, Volume 12, Number 4, November 2002 , pp. 541-561(21)

Publisher: Springer

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

Language: English

Document Type: Research article

Affiliations: 1: Centre for Atom Optics and Ultrafast Spectroscopy, Swinburne University of Technology, Hawthorn, Victoria 3122, Australia; E-mail: kieu@swin.edu.au

Publication date: 2002-11-01

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