This list disambiguates different information theories:

• (Narrow) Information Theory - narrow theory that describes properties of signal (information) propagation
• Quantum Information Theory describes the evolution of states of quantum mechanical systems (which are inherently informational)
• Broad Information Theory - broad theory that attempts to observe patterns in a domain, find similar common patterns in other unrelated domains at different scales, postulate that these patterns represent a solution to a common informational problem, and test those postulates through computational modeling of the theorized properties applied to model systems.
• Constructor Theory - broad theory that attempts to describe systems from their mathematical formalism in operator logic: what operations (or transformations) are allowed and what are their results
• New Kind of Science - the study and mapping of algorithms (the computational universe) and their capacity to generate complex results. Developed by Steven Wolfram in the eponymous book.
• Algorithmic Information Theory - An extension of (narrow) Information Theory to areas of Computer Science. Also see Nick Szabo’s paper