1. Quantum estimation of a time dependent perturbation
- Author
-
Madsen, Claus Normann, Valdetaro, Lia, and Mølmer, Klaus
- Subjects
Quantum Physics - Abstract
We analyze the estimation of a time dependent perturbation acting on a continuously monitored quantum system. We describe the temporal fluctuations of the perturbation by a Hidden Markov Model, and we combine quantum measurement theory and classical filter theory into a time evolving hybrid quantum and classical trajectory. The forward-backward analysis that permits smoothed estimates of classical Hidden Markov Models has a counterpart in the theory of retrodiction and Past Quantum States. As a specific example, we apply our hybrid trajectory and Past Quantum State theory to the sensing of a fluctuating magnetic field by microwave interrogation of a single quantum spin., Comment: 8 pages, 4 figures
- Published
- 2021