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Quantum control based on three forms of Lyapunov functions

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

quantum systemLyapunov functionparticle swarm optimizationsimulated annealing algo-rithmsquantum control

俞国慧、杨洪礼

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College of Mathematics and Systems Science,Shandong University of Science and Technology,Qingdao 266590,China

国家自然科学基金

62176140

2024

中国物理B(英文版)
中国物理学会和中国科学院物理研究所

中国物理B(英文版)

CSTPCDEI
影响因子:0.995
ISSN:1674-1056
年,卷(期):2024.33(4)
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