Category-Theoretic Control Theory: Differentiable Monoidal Dynamics for Trainable Quantum Generators

13 October 2025, Version 1
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

We present the first framework where symmetric-monoidal Markov functors map directly to Lindbladian generators via categorical semantics, enabling end-to-end differentiable training of open quantum dynamics.

Keywords

category theory
quantum control
monoidal functor
Lindbladian
differentiable programming
IBM Osprey
trotter
open quantum dynamics
quantum generators
energy innovations
quantum principles

Comments

Comments are not moderated before they are posted, but they can be removed by the site moderators if they are found to be in contravention of our Commenting and Discussion Policy [opens in a new tab] - please read this policy before you post. Comments should be used for scholarly discussion of the content in question. You can find more information about how to use the commenting feature here [opens in a new tab] .
This site is protected by reCAPTCHA and the Google Privacy Policy [opens in a new tab] and Terms of Service [opens in a new tab] apply.