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Q: Fachverband Quantenoptik und Photonik

Q 71: Quantum information: Concepts and methods VI

Q 71.7: Vortrag

Freitag, 21. März 2014, 18:00–18:15, Kinosaal

Approximate but Completely Positive Solutions of Lindblad Master Equations — •Farhang Haddad Farshi^1,2, Jian Cui^1,2, and Florian Mintert^1,2 — ¹FRIAS, Albert Ludwigs University of Freiburg, Albertstr. 19, 79104 Freiburg, Germany — ²Department of Physics, Imperial College London, SW7 2AZ, United Kingdom

We consider approximate solutions of quantum mechanical Master equations with time-dependent generators. The Magnus expansion permits us to construct solutions that satisfy fundamental properties like semi-group and the conservation of trace; it does, however, not necessarily yield completely positive dynamics. We discuss how the Magnus expansion can be modified in order to also satisfy this property. With a few explicit examples we show that this modified expansion can yield a substantially improved approximation than the original one.