Quantum dynamical maps provide suitable mathematical representation of quantum
evolutions. When representing quantum states by density operators, the evident …

This special volume celebrates the 40th anniversary of the discovery of the Gorini-
Kossakowski-Sudarshan-Lindblad master equation, which is widely used in quantum …

Semi-Markov processes represent a well-known and widely used class of random
processes in classical probability theory. Here, we develop an extension of this type of non …

The evolution of quantum irreversible processes can be effectively described using
dynamical semigroups. They involve non-unitary time evolutions of density matrices that are …

We analyze non-Markovian evolution of open quantum systems. It is shown that any
dynamical map representing the evolution of such a system may be described either by a …

We provide a general construction of quantum generalized master equations with a memory
kernel leading to well-defined, that is, completely positive and trace-preserving, time …

The theoretical description of quantum dynamics in an intriguing way does not necessarily
imply the underlying dynamics is indeed intriguing. Here we show how a known very …

The divisibility of dynamical maps is visualized by trajectories in the parameter space and
analyzed within the framework of collision models. We introduce ultimate completely positive …

We construct a large class of non-Markovian master equations that describe the dynamics of
open quantum systems featuring strong memory effects, which relies on a quantum …

The classical Schrödinger bridge seeks the most likely probability law for a diffusion
process, in path space, that matches marginals at two end points in time; the likelihood is …