Quantum Control Design by Lyapunov Trajectory Tracking and Optimal Control.

Entropy (Basel)

Faculty of Economics and Business Administration, St. Kl. Ohridski Sofia University, 1113 Sofia, Bulgaria.

Published: November 2024


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Article Abstract

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.

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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC11592483PMC
http://dx.doi.org/10.3390/e26110978DOI Listing

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