Quantum optimal control, a toolbox for devising and implementing the shapes of external
fields that accomplish given tasks in the operation of a quantum device in the best way …

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 …

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

Discoveries in quantum materials, which are characterized by the strongly quantum-
mechanical nature of electrons and atoms, have revealed exotic properties that arise from …

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 …

Understanding and simulating how a quantum system interacts and exchanges information
or energy with its surroundings is a ubiquitous problem, one which must be carefully …

With the rapid progress in quantum hardware, there has been an increased interest in new
quantum algorithms to describe complex many-body systems searching for the still-elusive …

We study the dynamics of a quantum system whose interaction with an environment is
described by a collision model, ie, the open dynamics is modeled through sequences of …

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 …

Non-Markovian processes may arise in physics due to memory effects of environmental
degrees of freedom. For quantum non-Markovianity, it is an ongoing debate to clarify …