Admissible Optimal Control for Parameter Estimation in Quantum Systems

被引：0

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

共 50 条

[21] Optimal control for multi-parameter quantum estimation with time-dependent Hamiltonians
Xie, Dong
Xu, Chunling
RESULTS IN PHYSICS, 2019, 15
[22] Optimal control for Hamiltonian parameter estimation in non-commuting and bipartite quantum dynamics
Qin, Shushen
Cramer, Marcus
Koch, Christiane P.
Serafini, Alessio
SCIPOST PHYSICS, 2022, 13 (06):
[23] Optimal location of measurements for parameter estimation of distributed parameter systems
Alana, Jorge E.
Theodoropoulos, Constantinos
COMPUTERS & CHEMICAL ENGINEERING, 2011, 35 (01) : 106 - 120
[24] Optimal location of measurements for parameter estimation of distributed parameter systems
Alaña, Jorge E.
Theodoropoulos, Constantinos
Computers and Chemical Engineering, 2011, 35 (01): : 106 - 120
[25] PARAMETER ESTIMATION IN DISTRIBUTED SYSTEMS: OPTIMAL DESIGN
Banks, H. T.
Rehm, K. L.
EURASIAN JOURNAL OF MATHEMATICAL AND COMPUTER APPLICATIONS, 2014, 2 (01): : 70 - 80
[26] Optimal estimation of one-parameter quantum channels
Sarovar, Mohan
Milburn, G. J.
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (26): : 8487 - 8505
[27] OPTIMAL CONTROL OF DISTRIBUTED PARAMETER SYSTEMS
SHEIRAH, MA
HAMZA, MH
INTERNATIONAL JOURNAL OF CONTROL, 1974, 19 (05) : 891 - 902
[28] ADMISSIBLE ESTIMATION OF THE BINOMIAL PARAMETER-NORMAL
SADOOGHIALVANDI, SM
ANNALS OF STATISTICS, 1986, 14 (04): : 1634 - 1641
[29] Enhancing parameter precision of optimal quantum estimation by direct quantum feedback
Zheng, Qiang
Ge, Li
Yao, Yao
Zhi, Qi-jun
PHYSICAL REVIEW A, 2015, 91 (03)
[30] Estimation and control of distributed parameter systems
Applications of Mathematics, 1994, 39 (01)

← 1 2 3 4 5 →