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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 11: Quantum Information

MP 11.3: Vortrag

Mittwoch, 1. September 2021, 17:20–17:45, H7

Reachability and Stabilizability for Markovian Quantum Systems with Fast Hamiltonian Control — •Emanuel Malvetti^1,2, Frederik vom Ende^1,2, Thomas Schulte-Herbrüggen^1,2, 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.