Reachability, Coolability, and Stabilizability of Open Markovian Quantum Systems with Fast Unitary Control
Emanuel Malvetti, Frederik vom Ende, Gunther Dirr, Thomas Schulte‐Herbrüggen · SIAM Journal on Control and Optimization · 2024
Abstract. Open Markovian quantum systems with fast unitary control can be reduced to an equivalent control system on the standard simplex modeling the dynamics of the eigenvalues of the density matrix describing the quantum state. We explore this reduced control system for answering questions on reachability and stabilizability with immediate applications to the cooling of Markovian quantum systems. We show that for certain tasks of interest, the control Hamiltonian can be chosen time-independent.