Discrete-Time Controllability for Feedback Quantum Dynamics
arXiv:1012.1397 · doi:10.1016/j.automatica.2011.08.018
Abstract
Controllability properties for discrete-time, Markovian quantum dynamics are investigated. We find that, while in general the controlled system is not finite-time controllable, feedback control allows for arbitrary asymptotic state-to-state transitions. Under further assumption on the form of the measurement, we show that finite-time controllability can be achieved in a time that scales linearly with the dimension of the system, and we provide an iterative procedure to design the unitary control actions.