The gradient flow is commonly used to numerically solve the problem of maximizing quantum observables for finite dimensional closed quantum systems. In this note, we analyze the asymptotic behavior of the gradient flow. We show that, under a regularity assumption on the controls, the flow almost always converges to a solution of the maximization problem.
All Science Journal Classification (ASJC) codes
- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering