Estimation of classical parameters via continuous probing of complementary quantum observables

A Negretti, K Mølmer
2013 New Journal of Physics  
We discuss how continuous probing of a quantum system allows estimation of unknown classical parameters embodied in the Hamiltonian of the system. We generalize the stochastic master equation associated with continuous observation processes to a Bayesian filter equation for the probability distribution of the desired parameters, and we illustrate its application by estimating the direction of a magnetic field. In our example, the field causes a ground state spin precession in a two-level atom
more » ... ich is detected by the polarization rotation of off-resonant optical probes, interacting with the atomic spin components.
doi:10.1088/1367-2630/15/12/125002 fatcat:tww53qoqh5cybd4b6oi2aykszy