On exponential stabilization of N-level quantum angular momentum systems
arXiv:1902.05879
Abstract
In this paper, we consider the feedback stabilization problem for N-level quantum angular momentum systems undergoing continuous-time measurements. By using stochastic and geometric control tools, we provide sufficient conditions on the feedback control law ensuring almost sure exponential convergence to a predetermined eigenstate of the measurement operator. In order to achieve these results, we establish general features of quantum trajectories which are of interest by themselves. We illustrate the results by designing a class of feedback control laws satisfying the above-mentioned conditions and finally we demonstrate the effectiveness of our methodology through numerical simulations for three-level quantum angular momentum systems.
References in corpus (8)
- Real-time quantum feedback prepares and stabilizes photon number states
- Feedback control of quantum state reduction
- Adaptive homodyne measurement of optical phase
- Continuous quantum error correction via quantum feedback control
- Martingale Models for Quantum State Reduction
- Quantum feedback by discrete quantum non-demolition measurements: towards on-demand generation of photon-number states
- On Exponential Stabilization of Spin-1/2 Systems
- Deterministic submanifolds and analytic solution of the stochastic differential master equation describing a qubit