基于三种形式 Lyapunov 函数的量子控制

IF 1.5 4区物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY

Chinese Physics B Pub Date : 2023-12-04 DOI:10.1088/1674-1056/ad11e6

Guo-Hui Yu, Hong-Li Yang

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引用次数: 0

摘要

本文介绍了基于状态距离的李雅普诺夫函数、基于虚量均值的李雅普诺夫函数和基于状态误差的李雅普诺夫函数的量子控制。本文给出了三种形式下的具体控制规律，利用LaSalle不变性原理对其稳定性进行了分析，并在二维试验系统中进行了数值模拟。对于基于虚力学量平均值的Lyapunov函数，在计算过程中结合粒子群算法和模拟退火算法进行分析。最后给出了三种形式下控制律的统一形式。

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 based on three forms of Lyapunov functions

This paper introduces the quantum control of Lyapunov functions based on state distance, Lyapunov functions based on the mean of imaginary quantities, and Lyapunov functions based on state errors. In this paper, the specific control laws under the three forms are given, and the stability analysis is analyzed by the LaSalle invariance principle, and the numerical simulation is carried out in the 2D test system. For the Lyapunov function based on the average of virtual mechanical quantities, the particle swarm algorithm and simulated annealing algorithm are combined with the analysis in the calculation process. Finally, a unified form of control law under the three forms is given.

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来源期刊

Chinese Physics B 物理-物理：综合

CiteScore

2.80

自引率

23.50%

发文量

15667

审稿时长

2.4 months

期刊介绍： Chinese Physics B is an international journal covering the latest developments and achievements in all branches of physics worldwide (with the exception of nuclear physics and physics of elementary particles and fields, which is covered by Chinese Physics C). It publishes original research papers and rapid communications reflecting creative and innovative achievements across the field of physics, as well as review articles covering important accomplishments in the frontiers of physics. Subject coverage includes: Condensed matter physics and the physics of materials Atomic, molecular and optical physics Statistical, nonlinear and soft matter physics Plasma physics Interdisciplinary physics.