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Advances in intelligent and soft computing

A Variant of Quantum Genetic Algorithm and Its Possible Applications

Pawan Kumar Tiwari, Deo Prakash Vidyarthi

Published Jan 1, 2012• 5 citations
Publisher
DOI
10.1007/978-81-322-0487-9_76

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We propose a genetic-algorithm-based method to find the unitary transformations for any desired quantum computation. We formulate a simple genetic algorithm by introducing the “genetic parameter vector” of the unitary transformations to be found. In the genetic algorithm process, all components of the genetic parameter vectors are supposed to evolve to the solution parameters of the unitary transformations. We apply our method to find the optimal unitary transformations and to generalize the corresponding quantum algorithms for a realistic problem, the one-bit oracle decision problem, or the often-called Deutsch problem. By numerical simulations, we can faithfully find the appropriate unitary transformations to solve the problem by using our method. We analyze the quantum algorithms identified by the found unitary transformations and generalize the variant models of the original Deutsch’s algorithm.