Regarding the first problem: are you looking at NCP maps for non-Markovian processes given you mention C*-algebra? Or is it more of a continuous weak monitoring of a stochastic system that results in dynamics with memory effects?
I'd be very curious to know how any LLMs fare. I completely understand if you don't want to continue the discussion because of anonymity reasons.
More of the latter. It's a pet project of mine, and all of the LLMs tend to utterly fail at getting anywhere with it, at least in chats. In an agentic setup, it can chip away at some aspects, but it needs serious guidance on relevant language, notation, and concepts. To me, it demonstrates that the LLMs are not particularly good at crossing literatures, but then again, humans rarely seem to be good at that either...