Abstract
Building an effective rumor propagation model is the key to blocking rumor propagation. This article is based on the quantum superposition theory, analyzing the propagation decision of unknown individuals from the perspectives of consciousness and behavior, determining their time-varying propagation state, characterizing the propagation process of online rumors, and constructing a rumor propagation model to solve the basic reproduction number. It analyzes the local stability of equilibrium points without rumor propagation and equilibrium points with rumor propagation. The experimental results better fit the rule of change of rumor propagation group state, and verify the effects of the average rumor belief level in society and the degree of social management of rumors on the scale of rumor propagation, providing theoretical support for suppressing rumor propagation.