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math.OA2014
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…
math.OA2013★ 2 cited
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…