Targeting in quantum persuasion problem

In this paper we investigate the potential for persuasion linked to the quantum indeterminacy of beliefs. We focus on a situation where Sender only has few opportunities to influence Receiver. We do not address the full persuasion problem but restrict attention to a simpler one that we call targeting i.e., inducing a specific belief state. The analysis is develop within the frame of a n-dimensional Hilbert space model. We find that when the prior is known, Sender can induce a targeted belief with a probability of at least 1/n when using two measurements. This figure climbs to at least 1/2 when both the target and the belief are pure states. A main insight from the anlysis is that a strategy of distraction is used as a first step to confuse Receiver. We thus find that distraction rather than the provision of relevant arguments is an effective means to achieve persuasion. This is true under the hypothesis that Receiver's belief exhibits quantum indeterminacy which is a formal expression of well-known cognitive limitations. We provide an example from political decision-making.