What are the fundamental limits and advantages of using a catalyst to aid thermodynamic
transformations between quantum systems? In this paper, we answer this question by …

Our aim is twofold: First, we rigorously analyse the generators of quantum-dynamical
semigroups of thermodynamic processes. We characterise a wide class of gksl-generators …

We prove the statement “The collection of all elements of 𝒮 which have only simple
eigenvalues is dense in 𝒮” for different sets 𝒮, including: all quantum channels, the unital …

Thermodynamics plays an important role both in the foundations of physics and in
technological applications. An operational perspective adopted in recent years is to …

We prove the statement" The collection of all elements of $\mathcal S $ which have only
simple eigenvalues is dense in $\mathcal S $" for different sets $\mathcal S $, including: all …

We investigate geometric and topological properties of $ d $-majorization--a generalization
of classical majorization to positive weight vectors $ d\in\mathbb {R}^ n $. In particular, we …