Quantum Control Design by Lyapunov Trajectory Tracking and Optimal Control

Quantum Control Design by Lyapunov Trajectory Tracking and Optimal Control

Blog Article

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 Gift Sets integrating a quadratic performance index, we introduce an optimal control law, which we IP-6 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.