Dresden 2011 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe
Q: Fachverband Quantenoptik und Photonik
Q 23: Poster 2: Intersectional Session
Q 23.10: Poster
Dienstag, 15. März 2011, 18:00–21:00, P1
Illustrating the Geometry of Quantum Channels — •Corey O'Meara1, Gunther Dirr2, and Thomas Schulte-Herbrüggen1 — 1Dept. Chem., TU-Munich, Germany — 2Math. Inst., University of Würzburg, Germany
Standard Markovian quantum channels are elucidated geometrically in terms of (Lie)semigroups. We specify the respective tangent cones, i.e. Lie wedges, for a variety of open quantum system evolutions undergoing well known types of dissipative interactions with the environment.
In practice, such dissipative dynamics are inherent in many experimental implementations. The corresponding tangent cones which characterize the channels' time evolution subject to external controls in fact give illustrative insight into the differential geometry of open-system dynamics under Hamiltonian controls. Furthermore, this insight may subsequently be exploited to approximate the reachable sets of given initial quantum states.