通过李雅普诺夫轨迹跟踪和最优控制进行量子控制设计

IF 2.1 3区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Entropy Pub Date : 2024-11-15 DOI:10.3390/e26110978

Hongli Yang, Guohui Yu, Ivan Ganchev Ivanov

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引用次数: 0

摘要

本文研究了一种李亚普诺夫轨迹跟踪设计方法，该方法结合了带有偶极子项和极化性的薛定谔方程。我们的研究结果表明，所提出的控制法则可以克服某些现有控制法则无法收敛的局限性。通过整合二次性能指标，我们引入了最优控制法则，并随后对其稳定性和最优性进行了分析。我们还模拟了自旋-1/2 粒子系统，以说明我们的结果。这些发现通过三维、五维系统和自旋-1/2 粒子系统的数值说明得到了进一步验证。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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.

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来源期刊

Entropy PHYSICS, MULTIDISCIPLINARY-

CiteScore

4.90

自引率

11.10%

发文量

1580

审稿时长

21.05 days

期刊介绍： Entropy (ISSN 1099-4300), an international and interdisciplinary journal of entropy and information studies, publishes reviews, regular research papers and short notes. Our aim is to encourage scientists to publish as much as possible their theoretical and experimental details. There is no restriction on the length of the papers. If there are computation and the experiment, the details must be provided so that the results can be reproduced.