This chapter examines the computational process through which consciousness moves between intuitive and deliberate cognition. Beginning with Kahneman's dual process framework, the chapter asks how System 1 can generate rapid pattern recognition, complete insights, and novel solutions that often appear to outpace sequential reasoning. From the perspective developed in this book, these capacities arise because System 1 operates through a form of quantum-enhanced computation while System 2 operates through classical sequential processing. Within this framework, ego-mediated self-referential activity acts as the switch that regulates access to these modes. Drawing on research in quantum biology, cognitive science, and neuroscience, the chapter develops the proposal that the brain functions as a quantum-classical hybrid architecture. Work from Nishiyama and colleagues, Kurian, Leroy and Cheron, Kounios and Beeman, Kenett and colleagues, and Vervaeke and Ferraro is used to examine how coherent processing, transient hypofrontality, relevance realization, and rapid network reorganization may fit together within one computational picture. Flow states are interpreted as conditions in which ego quiets, coherent processing remains available for longer periods, and relevance realization can filter a broader field of possible results into conscious awareness. The chapter then proposes a three-layer architecture composed of System 1 as quantum-enhanced parallel computation, relevance realization as the filtering and search process, and System 2 as classical sequential awareness and implementation. This architecture is examined across different levels of consciousness, where ego can either constrain the search space in advance or relax enough for broader exploration to occur. From this perspective, flow, incubation, creativity, intuition, and sudden insight appear as expressions of how consciousness navigates the boundary between possibility and action.