Integrated Information in Process Theories: Towards Categorical IIT
Sean Tull, Johannes Kleiner · The Journal of Cognitive Science · 2021
We demonstrate how integrated information and other key notions from Tononi et al.’s Integrated Information Theory (IIT) can be studied within the simple graphical language of process theories (symmetric monoidal categories). This allows IIT to be generalised to a broad range of physical theories, including as a special case the Quantum IIT of Zanardi, Tomka and Venuti, and sets the foundation for a categorical definition of IIT.