215 citations · 226 across the 3 of their papers we have counts for
5 papers
Copying Quantum States
Hans Maassen, Burkhard Kümmerer
The no-broadcasting theorem in quantum information says that a set of states on a quantum system admits a common broadcasting (copying) operation if and only if their density matri…
Diagonal Couplings of Quantum Markov Chains
Burkhard Kümmerer, Kay Schwieger
In this article we extend the coupling method from classical probability theory to quantum Markov chains on atomic von Neumann algebras. In particular, we establish a coupling ineq…
Ergodic Properties of Quantum Birth and Death Chains
David Bücher, Andreas Gärtner, Burkhard Kümmerer +3
We study a class of quantum Markov processes that, on the one hand, is inspired by the micromaser experiment in quantum optics and, on the other hand, by classical birth and death…
Constructing the Davies process of Resonance Fluorescence with Quantum Stochastic Calculus
Luc Bouten, Hans Maassen, Burkhard Kuemmerer
Starting point is a given semigroup of completely positive maps on the 2 times 2 matrices. This semigroup describes the irreversible evolution of a decaying 2-level atom. Using the…
-Gaussian processes: non-commutative and classical aspects
Marek Bozejko, Burkhard Kummerer, Roland Speicher
We examine, for , -Gaussian processes, i.e. families of operators (non-commutative random variables) -- where the fulfill the -commutation relat…