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Control-Enhanced Quantum Metrology Guided by Pontryagin's Minimum Principle

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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.

Original languageEnglish
Title of host publication2025 IEEE 64th Conference on Decision and Control, CDC 2025
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages6724-6729
Number of pages6
ISBN (Electronic)9798331526276
DOIs
Publication statusPublished - 2025
Event64th IEEE Conference on Decision and Control, CDC 2025 - Rio de Janeiro, Brazil
Duration: 9 Dec 202512 Dec 2025

Publication series

NameProceedings of the IEEE Conference on Decision and Control
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

Conference64th IEEE Conference on Decision and Control, CDC 2025
Country/TerritoryBrazil
CityRio de Janeiro
Period9/12/2512/12/25

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