Multi-objective optimization in quantum parameter estimation
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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 e-constrained model demonstrate the feasibility of the Hamiltonian control in improving the precision of the quantum parameter estimation.