Optimal control for multi-parameter quantum estimation with time-dependent Hamiltonians
arXiv:1812.04815 · doi:10.1016/j.rinp.2019.102620
Abstract
We investigate simultaneous estimation of multi-parameter quantum estimation with time-dependent Hamiltonians. We analytically obtain the maximal quantum Fisher information matrix for two-parameter in time-dependent three-level systems. The optimal coherent control scheme is proposed to increase the estimation precisions. In a example of a spin-1 particle in a uniformly rotating magnetic field, the optimal coherent Hamiltonians for different parameters can be chosen to be completely same. However, in general, the optimal coherent Hamiltonians for different parameters are incompatibility. In this situation, we suggest a variance method to obtain the optimal coherent Hamiltonian for estimating multiple parameters simultaneously, and obtain the optimal simultaneous estimation precision of two-parameter in a three-level Landau-Zener Hamiltonian.
9 pages, 1 figures
References in corpus (8)
- High-sensitivity diamond magnetometer with nanoscale resolution
- Distributed Quantum Metrology and the Entangling Power of Linear Networks
- Quantum interferometry with three-dimensional geometry
- Ultimate limits for quantum magnetometry via time-continuous measurements
- Reconfigurable optical implementation of quantum complex networks
- Achieving optimal quantum acceleration of frequency estimation using adaptive coherent control
- Degenerate Landau-Zener model: Exact analytical solution
- Landau-Zener transitions in an open multilevel quantum system