Quantum Control Design by Lyapunov Trajectory Tracking and Optimal Control

In this paper, we investigate a Lyapunov trajectory tracking design method that incorporates a Schrödinger equation with a dipole subterm and polarizability. Our findings suggest that the proposed control law can overcome the limitations of certain existing control laws that do not converge. By integrating a quadratic performance index, we introduce an optimal control law, which we subsequently analyze for stability and optimality. We also simulate the spin-1/2 particle system to illustrate our results. These findings are further validated through numerical illustrations involving a 3D, 5D system, and a spin-1/2 particle system.

# Science # Astrophysics # Physics # quantum system # Lyapunov function # optimal control # spin-1/2 particle system

Hongli Yang, Guohui Yu, Ivan Ganchev Ivanov (2024). "Quantum Control Design by Lyapunov Trajectory Tracking and Optimal Control". Entropy. https://doi.org/10.3390/e26110978