In this article, we consider a quantum approach to modeling the influence of control and arousal on decision making. This builds on the multi-particle multi-well (MPMW) framework, introduced in [47]and [48], that uses quantum potential landscapes to provide a mathematically tractable framework for analyzing multi-alternative decision making, and in which stochasticity emerges, alongside leak and com-petition, as an inherent property of the system rather than requiring treatment as a free parameter. Here, we show how the MPMW frame-work can be extended to model phenomena associated with cognitive control, such as the effect of control on processing conflict, and the stability-flexibility tradeoff. Furthermore, we show that the MPMW framework, by its treatment of arousal, can be extended naturally to provide a mathematically coherent account of a broader class of psychological phenomena, such as the non-monotonic relationship be-tween arousal and performance. In addition to seamlessly accommodating both control and arousal, the the MPMW predicts some unusual effects, such as discontinuous changes in performance with changes in attention and arousal, that emerge as a result of its quantum foundations.
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