In order to improve the economic history education effect of Shanxi merchants, this paper combines fuzzy control and quantum evolution algorithm to construct Shanxi merchant economic history education system. The purpose of this paper to construct the Shanxi merchant economic history education system is to establish a learning platform on the Internet or local area network that allows students to learn outside the classroom. This system will consist of multiple sub-modules, and it will provide knowledge points and networks, problem sets, student assignments, teacher-student interaction links, and teaching resource management for Shanxi merchant economic history teaching. Moreover, this system will be designed as an open network-assisted teaching system. In addition, this paper designs experiments to verify the performance of the algorithm constructed in this paper. The research shows that the Shanxi merchant economic history education system based on fuzzy control and quantum evolution algorithm constructed in this paper performs well in data mining and also has good performance in practical education.