Control incompatibility in multiparameter quantum metrology

作     者：Hu, Zhiyao Wang, Shilin Qiao, Linmu Isogawa, Takuya Li, Changhao Yang, Yu Wang, Guoqing Yuan, Haidong Cappellaro, Paola 

作者机构：MIT-Harvard Center for Ultracold Atoms Research Laboratory of Electronics Massachusetts Institute of Technology CambridgeMA02139 United States Pritzker School of Molecular Engineering The University of Chicago ChicagoIL60637 United States School of Physics Xi’an Jiaotong University Xi’an710049 China Department of Mechanical and Automation Engineering The Chinese University of Hong Kong Shatin Hong Kong Department of Nuclear Science and Engineering Massachusetts Institute of Technology CambridgeMA02139 United States Department of Physics Massachusetts Institute of Technology CambridgeMA02139 United States 

出 版 物：《arXiv》 (arXiv)

年 卷 期：2024年

核心收录：

主　　题：Optimal control systems 

摘      要：In practical applications like quantum sensing and quantum imaging, there is often a necessity to estimate multiple parameters simultaneously. Although the ultimate precision limits for single-parameter estimation are well established, the precision limit of multi-parameter estimation is much less understood. This is primarily due to the inherent incompatibility of the optimal strategies for the estimation of different parameters, particularly those pertaining to optimal control. In this study, we tackle the critical issue of control incompatibility in multi-parameter estimation by presenting explicit cases that expose this challenge. Our research not only pioneers the exploration of control incompatibility but also highlights its pivotal role in the field. Furthermore, our work offers valuable insights into how to minimize trade-offs induced by control incompatibility and enhance precision. This paves the way for future investigations into control strategies that enable optimal estimation of multiple parameters that are incompatible. Copyright © 2024, The Authors. All rights reserved.