In this paper we investigate the sensitivity to persuasion linked to the quantum indeterminacy of a decision-maker's beliefs. We formulate the persuasion problem in the context of quantum-like beliefs and we provide an economic example of belief manipulation that illustrates the setting. We next establish a theoretical result showing that in the absence of constraints on measurements, any belief state can be obtained as the result of a suitable sequence of measurements. We finally discuss the practical significance of our result in the context of persuasion.