Stabilization via feedback switching for quantum stochastic dynamics

Abstract

We propose a new method for pure-state and subspace preparation in quantum systems, which employs the output of a continuous measurement process and switching dissipative control to improve convergence speed, as well as robustness with respect to the initial conditions. In particular, we prove that the proposed closed-loop strategy makes the desired target globally asymptotically stable both in mean and almost surely, and we show it compares favorably against a time-based and a state-based switching control law, with significant improvements in the case of faulty initialization.

6 pages, 4 figures, updated main results and proofs

References in corpus (4)

• Feedback control of quantum state reduction
• Modeling and Control of Quantum Systems: An Introduction
• Exponential Stability of Subspaces for Quantum Stochastic Master Equations
• Switching Quantum Dynamics for Fast Stabilization

Cited by in corpus (1)

• Quantum Trajectory Theory and Simulations of Nonlinear Spectra and Multi-Photon Effects in Waveguide-QED Systems with a Time-Delayed Coherent Feedback