Quantum control based on three forms of Lyapunov functions

doi:10.1088/1674-1056/ad11e6

Abstract 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.

Keywords: quantum system Lyapunov function particle swarm optimization simulated annealing algorithms quantum control

Received: 19 September 2023
Revised: 21 November 2023
Accepted manuscript online: 04 December 2023

PACS:	02.30.Hq	(Ordinary differential equations)
	03.65.-w	(Quantum mechanics)
	03.65.Aa	(Quantum systems with finite Hilbert space)

Fund: Project supported by the National Natural Science Foundation of China (Grant No. 62176140).

Corresponding Authors: Hong-Li Yang
E-mail: yhlmath@126.com

Cite this article:

Guo-Hui Yu(俞国慧) and Hong-Li Yang(杨洪礼) Quantum control based on three forms of Lyapunov functions 2024 Chin. Phys. B 33 040201

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Quantum control based on three forms of Lyapunov functions

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