The theory of persuasion was initiated by Kamenica and Gentskow and has developed in various directions. The purpose of persuasion theory is the use of an information structure (or measure) that generates new information in order to modify a person's state of belief with the intention of making them act in a specific way. The question of interest is to know to what extent a person, calling him Sender, can influence another, calling his receiver, by selecting an appropriate measure and revealing his result. One example is lobbying. A pharmaceutical company commissions a scientific laboratory to carry out a specific study of the impact of a drug, the result of which is given to the politician. The question of interest from the point of view of persuasion is to know what type of study best serves the interests of the company. The recipient's decision to act depends on his or her beliefs about the world. Beliefs are given in the form of a distribution of probabilities over a set of states in the world. A central assumption is that uncertainty is formulated within the standard classical framework. Consequently, the updating of the recipient's beliefs follows Bayes' rule. However, as widely documented, the functioning of the mind is more complex and often people do not follow Bayes' rule. Cognitive sciences offer alternatives to Bayesian studies. One of the avenues of research in cognitive sciences uses the formalism of quantum mechanics. One of the main reasons is that quality management has properties that recall the paradoxical phenomena of human cognition. There are also deeper reasons to turn to quantum mechanics when studying human behaviour. In addition, cognition has been able to explain a wide variety of behavioural phenomena such as disjunction effect, cognitive dissonance or preference inversion. Finally, there is now a fully developed decision theory based on the principle of quantum cognition. It is clear that the mind is likely to be even more complex than a quantum system, but we believe that the quantum cognitive approach already offers interesting new perspectives, especially with regard to persuasion.