We present an extensive introduction to quantum collision models (CMs), also known as
repeated interactions schemes: a class of microscopic system–bath models for investigating …

Open quantum systems (OQSs) cannot always be described with the Markov approximation,
which requires a large separation of system and environment time scales. An overview is …

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

We present a comprehensive and up-to-date review of the concept of quantum non-
Markovianity, a central theme in the theory of open quantum systems. We introduce the …

The field of classical stochastic processes forms a major branch of mathematics. Stochastic
processes are, of course, also very well studied in biology, chemistry, ecology, geology …

In this tutorial, we present the definition, interpretation, and properties of some of the main
quasiprobabilities that can describe the statistics of measurement outcomes evaluated at …

In the classical domain, it is well known that divisibility does not imply that a stochastic
process is Markovian. However, for quantum processes, divisibility is often considered to be …

A series of recent works has shown that placing communication channels in a coherent
superposition of alternative configurations can boost their ability to transmit information …

This paper develops the resource theory of asymmetric distinguishability for quantum
channels, generalizing the related resource theory for states [Matsumoto, arxiv: 1010.1030 …

Quantum metrology promises unprecedented precision of parameter estimation, but it is
often vulnerable to noise. While significant efforts have been devoted to improving the …