SMuK 2021 – scientific programme
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 11: Quantum Information
MP 11.3: Talk
Wednesday, September 1, 2021, 17:20–17:45, H7
Reachability and Stabilizability for Markovian Quantum Systems with Fast Hamiltonian Control — •Emanuel Malvetti1,2, Frederik vom Ende1,2, Thomas Schulte-Herbrüggen1,2, and Gunther Dirr3 — 1Dept. Chem., TU-München (TUM) — 2Munich Centre for Quantum Science and Technology (MCQST) — 3Institute of Mathematics, Universität Würzburg
Markovian quantum systems with fast and full Hamiltonian control can be reduced to an equivalent control system on the eigenvalues of the density matrix describing the state. We explore this eigenvalue control system, whose state space is the standard simplex, by answering questions about reachability and stabilizability in the simplex. This has immediate applications to the cooling of Markovian quantum systems, for instance we give necessary and sufficient conditions for a system to be coolable. Furthermore, we show that for many tasks of interest the control Hamiltonian can be chosen to be independent of time.