Generalization of Inversion Using Bayes' Rule with Applications to Quantum Systems

Learn about a categorical approach to Bayesian inversion in quantum systems through this 59-minute Topos Institute Colloquium talk. Explore how semi-cartesian categories provide a framework for defining Bayesian inversion categorically, moving beyond the traditional string diagram definition by Cho and Jacobs. Discover why current Bayesian inversion approaches face limitations in quantum systems due to the no-cloning theorem, and examine the proposed axioms for an abstract form of Bayesian inversion. Delve into an ongoing research question regarding whether these axioms fully characterize Bayesian inversion for quantum systems.