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Evolving Hogg's Quantum Algorithm Using Linear-Tree GP

André Leier and Wolfgang Banzhaf

University of Dortmund,
Dept. of Computer Science,
Chair of Systems Analysis,
44221 Dortmund, Germany
{andre.leier,wolfgang.banzhaf}@cs.uni-dortmund.de

Abstract. Intermediate measurements in quantum circuits compare to conditional branchings in programming languages. Due to this, quantum circuits have a natural linear-tree structure. In this paper a Genetic Programming system based on linear-tree genome structures developed for the purpose of automatic quantum circuit design is introduced. It was applied to instances of the 1-SAT problem, resulting in evidently and "visibly" scalable quantum algorithms, which correspond to Hogg's quantum algorithm.

LNCS 2723, p. 390 ff.

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