90 citations · 552 across the 18 of their papers we have counts for
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Monotonicity of the Quantum Relative Entropy Under Positive Maps
Alexander Müller-Hermes, David Reeb
We prove that the quantum relative entropy decreases monotonically under the application of any positive trace-preserving linear map, for underlying separable Hilbert spaces. This…
Relative Entropy Convergence for Depolarizing Channels
Alexander Müller-Hermes, Daniel Stilck Franca, Michael M. Wolf
We study the convergence of states under continuous-time depolarizing channels with full rank fixed points in terms of the relative entropy. The optimal exponent of an upper bound…
Entropy Production of Doubly Stochastic Quantum Channels
Alexander Müller-Hermes, Daniel Stilck Franca, Michael M. Wolf
We study the entropy increase of quantum systems evolving under primitive, doubly stochastic Markovian noise and thus converging to the maximally mixed state. This entropy increase…
Positivity of linear maps under tensor powers
Alexander Müller-Hermes, David Reeb, Michael M. Wolf
We investigate linear maps between matrix algebras that remain positive under tensor powers, i.e., under tensoring with copies of themselves. Completely positive and completely…