OH molecule as a quantum probe to jointly estimate electric and magnetic fields

The OH molecule (OHM) carries both electric and magnetic dipole moments and it is characterized by a diatomic structure that simplifies its modeling. Thus, it naturally emerges as a quantum probe for joint estimation of electric and magnetic fields. In this paper, we address optimal strategies to jointly estimate the two fields and to overcome the additional quantum noise due to their incompatibility. We study and optimize stationary and dynamical estimation strategies, and devise a sequential control scheme to beat the limitations imposed by non commutativity in specific configurations.