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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik

MP 2: Quanteninformation

MP 2.3: Talk

Tuesday, February 26, 2013, 14:50–15:15, HS 8

On the Differential Geometry of Fixpoint Engineering in Markovian Open Quantum Systems — •Corey O’Meara¹, Gunther Dirr², and Thomas Schulte-Herbrüggen¹ — ¹Dept. Chem., TU-München — ²Inst. Math., University of Würzburg

In quantum memories and practical quantum control, recent focus has been on steering the open quantum system into desired fixed points.

Here we give a complete account of Lie semigroups (of controlled Markovian quantum systems) and their fixpoint sets in terms of their Lindbladian generators in the corresponding Lie wedge. For n-qubit systems, we parameterise all Lindblad generators sharing a desired fixed point. We also give a constructive overview how to make this fixed point unique. Building upon our classification thus facilitates to choose the simplest Markovian experimental implementation to arrive at any desired fixed point.