Human-machine interaction can incorporate several components which when suitably designed, synthesized, and integrated can benefit the human decision maker in performing various tasks and activities. These interactions can be designed through multiple modalities such as textural, graphic, audio, or any tangible interfaces depending on the specific nature of the decision-making task which needs to be performed by human. The control and decision-making architecture of such human-machine interaction can be defined in variety of ways. In this paper, we present an overview of an architecture which has been recently proposed in the literature based on the notion of open quantum systems. We present a brief interpretation of some of the main modelling and solution components of this framework. The main implication of this framework is that it presents the state of the decision maker and the interacting environment in a probabilistic framework, where the time evolution of this ensemble is estimated within the interpretation and solutions of the open quantum system.