68 citations · 177 across the 14 of their papers we have counts for
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quant-ph2008★ 68 cited
Lie-Semigroup Structures for Reachability and Control of Open Quantum Systems: Viewing Markovian Quantum Channels as Lie Semigroups and GKS-Lindblad Generators as Lie Wedge
G. Dirr, U. Helmke, I. Kurniawan +1
In view of controlling finite dimensional open quantum systems, we provide a unified Lie-semigroup framework describing the structure of completely positive trace-preserving maps.…
quant-ph2008★ 46 cited
Gradient Flows for Optimisation and Quantum Control: Foundations and Applications
T. Schulte-Herbrueggen, S. J. Glaser, G. Dirr +1
For addressing optimisation tasks on finite dimensional quantum systems, we give a comprehensive account of the foundations of gradient flows on Riemannian manifolds including new…