Multi-objective optimization in quantum parameter estimation

作     者：BeiLi Gong Wei Cui 

作者机构：School of Automation Science and Engineering South China University of Technology 

出 版 物：《Science China(Physics,Mechanics & Astronomy)》 (中国科学：物理学、力学、天文学（英文版）)

年 卷 期：2018年第61卷第4期

页      面：30-35页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：supported by the National Natural Science Foundation of China(Grant No.11404113) the Guangzhou Key Laboratory of Brain Computer Interaction and Applications(Grant No.201509010006) 

主　　题：quantum parameter estimation Fisher information multi objective optimization 

摘      要：We investigate quantum parameter estimation based on linear and Kerr-type nonlinear controls in an open quantum system, and consider the dissipation rate as an unknown parameter. We show that while the precision of parameter estimation is improved,it usually introduces a significant deformation to the system state. Moreover, we propose a multi-objective model to optimize the two conflicting objectives:(1) maximizing the Fisher information, improving the parameter estimation precision, and(2)minimizing the deformation of the system state, which maintains its fidelity. Finally, simulations of a simplified ε-constrained model demonstrate the feasibility of the Hamiltonian control in improving the precision of the quantum parameter estimation.