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Evolving blackbox quantum algorithms using genetic programming

Published online by Cambridge University Press:  12 June 2008

Ralf Stadelhofer ,
Wolfgang Banzhaf  and
Dieter Suter
Ralf Stadelhofer
Affiliation:
Department of Computer Science, University of Dortmund, Dortmund, Germany
Wolfgang Banzhaf
Affiliation:
Department of Computer Science, Memorial University of Newfoundland, St. John's, Canada
Dieter Suter
Affiliation:
Department of Physics, University of Dortmund, Dortmund, Germany
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Abstract

Although it is known that quantum computers can solve certain computational problems exponentially faster than classical computers, only a small number of quantum algorithms have been developed so far. Designing such algorithms is complicated by the rather nonintuitive character of quantum physics. In this paper we present a genetic programming system that uses some new techniques to develop and improve quantum algorithms. We have used this system to develop two formerly unknown quantum algorithms. We also address a potential deficiency of the quantum decision tree model used to prove lower bounds on the query complexity of the parity problem.

Keywords

Genetic ProgrammingQuantum ComputationQuantum Information Processing
Type
Research Article
Information
AI EDAM , Volume 22 , Issue 3 , August 2008 , pp. 285 - 297
Copyright
Copyright © Cambridge University Press 2008

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