Parameter estimation of a 3-level quantum system with a single population measurement

TL;DR

This paper introduces a method to estimate parameters of a 3-level quantum system using only ground state population measurements, simplifying experimental requirements by eliminating the need for full state population data.

Contribution

It extends existing Hamiltonian identification algorithms to 3-level systems with limited measurement access, enabling parameter estimation from a single population measurement.

Findings

Successful identification of dipole moments with ground state measurements

Reduction in measurement complexity for quantum system identification

Applicability to experimental scenarios with limited measurement capabilities

Abstract

An observer-based Hamiltonian identification algorithm for quantum systems has been proposed recently by Bonnabel et al. The later paper provided a method to estimate the dipole moment matrix of a quantum system requiring the measurement of the populations on all states, which could be experimentally difficult to achieve. We propose here an extension to a 3-level quantum system, having access to the population of the ground state only. By more adapted choice of the control field, we will show that a continuous measurement of this observable, alone, is enough to identify the field coupling parameters (dipole moment).