DOAJ Open Access 2024

Quantum Control Design by Lyapunov Trajectory Tracking and Optimal Control

Hongli Yang Guohui Yu Ivan Ganchev Ivanov

Abstrak

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.

Topik & Kata Kunci

Science Astrophysics Physics

Penulis (3)

Hongli Yang

Guohui Yu

Ivan Ganchev Ivanov

Format Sitasi

APA MLA BibTeX

Yang, H., Yu, G., Ivanov, I.G. (2024). Quantum Control Design by Lyapunov Trajectory Tracking and Optimal Control. https://doi.org/10.3390/e26110978

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Informasi Jurnal

Tahun Terbit: 2024
Sumber Database: DOAJ
DOI: 10.3390/e26110978
Akses: Open Access ✓