18 citations · 51 across the 9 of their papers we have counts for
9 papers
From the Choi Formalism in Infinite Dimensions to Unique Decompositions of Generators of Completely Positive Dynamical Semigroups
Frederik vom Ende
Given any separable complex Hilbert space, any trace-class operator which does not have purely imaginary trace, and any generator of a norm-continuous one-parameter semigro…
Progress on the Kretschmann-Schlingemann-Werner Conjecture
Frederik vom Ende
Given any pair of quantum channels such that at least one of them has Kraus rank one, as well as any respective Stinespring isometries , we prove that there exis…
Finite-Dimensional Stinespring Curves Can Approximate Any Dynamics
Frederik vom Ende
We generalize a recent result stating that all analytic quantum dynamics can be represented exactly as the reduction of unitary dynamics generated by a time-dependent Hamiltonian.…
The -Majorization Polytope
Frederik vom Ende, Gunther Dirr
We investigate geometric and topological properties of -majorization -- a generalization of classical majorization to positive weight vectors . In particular…
Von Neumann Type of Trace Inequalities for Schatten-Class Operators
Gunther Dirr, Frederik vom Ende
We generalize von Neumann's well-known trace inequality, as well as related eigenvalue inequalities for hermitian matrices, to Schatten-class operators between complex Hilbert spac…
Reachability in Infinite Dimensional Unital Open Quantum Systems with Switchable GKS-Lindblad Generators
Frederik vom Ende, Gunther Dirr, Michael Keyl +1
In quantum systems theory one of the fundamental problems boils down to: given an initial state, which final states can be reached by the dynamic system in question. Here we consid…
Phase Spaces, Parity Operators, and the Born-Jordan Distribution
Bálint Koczor, Frederik vom Ende, Maurice de Gosson +2
Phase spaces as given by the Wigner distribution function provide a natural description of infinite-dimensional quantum systems. They are an important tool in quantum optics and ha…
The C-Numerical Range for Schatten-Class Operators
Gunther Dirr, Frederik vom Ende
We generalize the -numerical range from trace-class to Schatten-class operators, i.e. to and with $1/p + 1…
The C-Numerical Range in Infinite Dimensions
Gunther Dirr, Frederik vom Ende
In infinite dimensions and on the level of trace-class operators rather than matrices, we show that the closure of the -numerical range is always star-shaped with r…