Michael Keyl
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View article: Quantum control in infinite dimensions and Banach-Lie algebras: Pure point spectrum
Quantum control in infinite dimensions and Banach-Lie algebras: Pure point spectrum Open
In finite dimensions, controllability of bilinear quantum control systems can be decided quite easily in terms of the "Lie algebra rank condition" (LARC), such that only the systems Lie algebra has to be determined from a set of generators…
View article: Quantum control in infinite dimensions and Banach-Lie algebras: Pure\n point spectrum
Quantum control in infinite dimensions and Banach-Lie algebras: Pure\n point spectrum Open
In finite dimensions, controllability of bilinear quantum control systems can\nbe decided quite easily in terms of the "Lie algebra rank condition" (LARC),\nsuch that only the systems Lie algebra has to be determined from a set of\ngenerat…
View article: Controllability of the Jaynes-Cummings-Hubbard model
Controllability of the Jaynes-Cummings-Hubbard model Open
In quantum control theory, the fundamental issue of controllability covers the questions whether and under which conditions a system can be steered from one pure state into another by suitably tuned time evolution operators. Even though Li…
View article: Controlling a d-level atom in a cavity
Controlling a d-level atom in a cavity Open
In this paper we study controllability of a $d$-level atom interacting with the electromagnetic field in a cavity. The system is modelled by an ordered graph $Γ$. The vertices of $Γ$ describe the energy levels and the edges allowed transit…
View article: Schwartz operators
Schwartz operators Open
In this paper, we introduce Schwartz operators as a non-commutative analog of Schwartz functions and provide a detailed discussion of their properties. We equip them, in particular, with a number of different (but equivalent) families of s…