Exponential Selection and Feedback Stabilization of Invariant Subspaces of Quantum Trajectories
Nina H. Amini, Maël Bompais, Clément Pellegrini · SIAM Journal on Control and Optimization · 2024
Abstract. We show that quantum trajectories become exponentially fast supported by one of their minimal invariant subspaces. The exponential convergence is established in expectation by using Lyapunov techniques and carrying out an in-depth study of the identifiability of the different subspaces. Additionally, we introduce a feedback control strategy that enables targeted convergence to a desired subspace. This convergence is also achieved at exponential speed.