Admissible Optimal Control for Parameter Estimation in Quantum Systems

被引：1

作者：

Clouatre, Maison ^{[1
]}

Marano, Stefano ^{[2
]}

Falb, Peter L. ^{[3
]}

Win, Moe Z. ^{[3
]}

机构：

[1] MIT, Wireless Informat & Network Sci Lab, Cambridge, MA 02139 USA

[2] Univ Salerno, Dept Informat & Elect Engn & Appl Math DIEM, I-84084 Fisciano, SA, Italy

[3] MIT, Lab Informat & Decis Syst, Cambridge, MA 02139 USA

来源：

IEEE CONTROL SYSTEMS LETTERS | 2024年 / 8卷

基金：

美国国家科学基金会;

关键词：

Quantum system; Quantum state; Time measurement; Random variables; Parameter estimation; Optimal control; Mathematical models; Quantum parameter estimation; Fisher information; quantum control; statistical inference; control-enhanced parameter estimation;

D O I：

10.1109/LCSYS.2024.3411624

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This letter investigates parameter estimation in quantum systems that undergo dynamical evolution. Optimal control problems are formulated to maximize the information, about an unknown parameter, extracted by a given quantum measurement apparatus. This letter introduces the concept of "admissible controls"-control laws that do not depend on the unknown parameter they elicit. For scalar parameter estimation in unital quantum systems interrogated by binary measurements, this letter derives a necessary and sufficient condition on quantum measurement operators so that an information maximizing control law is admissible. When the admissibility condition is satisfied, it is shown that the resulting optimal control problem may be solved using well-established techniques.

引用

页码：2283 / 2288

页数：6

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