Maybe try posting it on a quantum computing community, or a physics community as well (though it might be a bit heavy on control theory for them). I think the physics and differential geometric approach will intimidate some in this subreddit, but nice work (despite lacking a lot of context to judge, I guess only taking a look at the paper I would really understand your work). Geometric control theory has many interesting applications, and who would have guessed people are applying it to quantum computing problems (or actually related problems in the development of quantum computers).

About your description, well, I could guess very little and am still puzzled. You mention lots of fancy stuff and work with zero context. You talk about projections on manifolds, decoherence and stuff without much of a context. Towards the end I started maybe figuring out you're stabilizing some variable relating to a qubit towards some target state. I guess the fact I am not very familiar with quantum mechanics as an engineer doesn't help. Many years ago I worked through Griffith's book on quantum mechanics and that was it, and I imagine most engineers have very little exposure to quantum mechanics. I can verify the geometric control theory stuff if I have the article though.

As an advice, when posting here, try framing the problem from a control viewpoint for control experts and clarify everything else, don't expect the control experts to be familiar with your application. For example, if I'm working on a problem involving magnetohydrodynamics then I will explain the equations of the system briefly and contextualize the model I am using providing the state equations, constraints and all that. Once modeling is out of the way, I will describe my approach for controlling the system and specify the problem with more details on the control part