New method for geometric constraint solving based on the genetic quantum algorithm

Abstract

This paper proposes a novel genetic quantum algorithm (GQA) to solve geometric constraint problems. Instead of binary, numeric or symbolic representation, we introduce qubit chromosome representation. GQA is based on qubit and superposition of states and is used in the process of geometric constraint solving in order to get the solution sequence. As GQA has diversity caused by the qubit representation, there is no need to use the genetic operator. Qubit chromosome can be updated by proper quantum gate in the circulation. The experiment indicates GQA can solve the geometric constraint problem effectively.