24 citations · 45 across the 2 of their papers we have counts for
5 papers
Reachable Sets from Toy Models to Controlled Markovian Quantum Systems
Gunther Dirr, Frederik vom Ende, Thomas Schulte-Herbrüggen
In the framework of bilinear control systems, we present reachable sets of coherently controllable open quantum systems with switchable coupling to a thermal bath of arbitrary temp…
Uniform and -Ensemble Reachability of Parameter-dependent Linear Systems
Gunther Dirr, Michael Schönlein
In this paper, we consider families of linear systems (linear ensembles) defined by matrix pairs depending on a parameter $θ\in \p$ that is varying over a c…
Unitary Dilations of Discrete-Time Quantum-Dynamical Semigroups
Frederik vom Ende, Gunther Dirr
We show that the discrete-time evolution of an open quantum system generated by a single quantum channel can be embedded in the discrete-time evolution of an enlarged closed qu…
The Significance of the -Numerical Range and the Local -Numerical Range in Quantum Control and Quantum Information
Thomas Schulte-Herbrueggen, Gunther Dirr, Uwe Helmke +1
This paper shows how C-numerical-range related new strucures may arise from practical problems in quantum control--and vice versa, how an understanding of these structures helps to…
Relative "-Numerical Ranges for Applications in Quantum Control and Quantum Information
G. Dirr, U. Helmke, M. Kleinsteuber +1
Motivated by applications in quantum information and quantum control, a new type of "-numerical range, the relative "-numerical range denoted , is introduced. It ar…