Gradient-Based Optimization for Linear Quantum Systems
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Institute of Electrical and Electronics Engineers Inc.
Abstract
This paper presents a gradient-based optimization approach to solve optimal control problems in linear quantum systems. Utilizing an algebraic Lyapunov equation, we derive the partial derivatives of the cost function with respect to the steady-state covariance matrix. Furthermore, we formulate the gradient for the cost function when applied to a coherent quantum Linear Quadratic Gaussian (LQG) control problem. Through numerical simulations, we verify that our method effectively solves the LQG control problem.
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Publisher Copyright: © 2025 IEEE.
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Lee, Y, Petersen, I R & Dong, D 2025, Gradient-Based Optimization for Linear Quantum Systems. in 2025 IEEE 64th Conference on Decision and Control, CDC 2025. Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 6679-6684, 64th IEEE Conference on Decision and Control, CDC 2025, Rio de Janeiro, Brazil, 9/12/25. https://doi.org/10.1109/CDC57313.2025.11312520
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2025 IEEE 64th Conference on Decision and Control, CDC 2025