Quantum control based on three forms of Lyapunov functions

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 simula...

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Published in:Chinese physics B 2024-04, Vol.33 (4), p.40201
Main Authors: Yu, Guo-Hui, Yang, Hong-Li
Format: Article
Language:English
Subjects:
Lyapunov function
particle swarm optimization
quantum control
quantum system
simulated annealing algorithms
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description 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.
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subjects Lyapunov function
particle swarm optimization
quantum control
quantum system
simulated annealing algorithms
title Quantum control based on three forms of Lyapunov functions
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