Control-Enhanced Quantum Metrology Guided by Pontryagin's Minimum Principle
Loading...
Date
Journal Title
Journal ISSN
Volume Title
Publisher
Institute of Electrical and Electronics Engineers Inc.
Abstract
Quantum metrology utilizes quantum resources to enhance the precision of parameter estimation. A central objective is to maximize the Quantum Fisher information (QFI), which determines the ultimate estimation precision based on the Cramér-Rao bound. In this work, we formulate QFI optimization as an optimal control problem and apply Pontryagin's Minimum Principle (PMP) to derive the optimal control protocol. We show that when the control amplitude is constrained below a certain threshold, the optimal solution reduces to a constant control. This strategy enables the QFI to scale quadratically with the total evolution time T, thereby improving estimation precision with longer probe durations.
Description
Publisher Copyright: © 2025 IEEE.
Citation
Hu, S, Ma, H, Lee, Y, Dong, D & Petersen, I R 2025, Control-Enhanced Quantum Metrology Guided by Pontryagin's Minimum Principle. 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. 6724-6729, 64th IEEE Conference on Decision and Control, CDC 2025, Rio de Janeiro, Brazil, 9/12/25. https://doi.org/10.1109/CDC57313.2025.11312173
conference
conference
Collections
Source
Book Title
2025 IEEE 64th Conference on Decision and Control, CDC 2025