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Gradient-Based Optimization for Linear Quantum Systems

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Date

2026-01-12

Authors

Lee, Yunyan
Petersen, Ian R.
Dong, Daoyi

Journal Title

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Volume Title

Publisher

Institute of Electrical and Electronics Engineers Inc.

Access Statement

Research Projects

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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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Citation

URI

https://hdl.handle.net/1885/733812139

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ANU Research Publications

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Type

Conference paper

Book Title

2025 IEEE 64th Conference on Decision and Control, CDC 2025

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Publication

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DOI

10.1109/CDC57313.2025.11312520

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