Reachable Sets from Toy Models to Controlled Markovian Quantum Systems
Gunther Dirr, Frederik vom Ende, Thomas Schulte-Herbruggen
In the framework of bilinear control systems, we present reachable sets of coherently controllable open quantum systems with switchable coupling to a thermal bath of arbitrary temperature T ≥ 0. The core problem boils down to studying points in the standard simplex amenable to two types of controls that can be used interleaved:(i)permutations within the simplex,(ii)contractions by a dissipative one-parameter semigroup. Our work illustrates how the solutions of the core problem pertain to the reachable set of the original controlled Markovian quantum system. We completely characterize the case T = 0 and present inclusions for T > 0.
arXiv:1905.01224•IEEE Conference on Decision and Control (CDC)•Dec 1, 2019•8 citations