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

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 …

The dynamical behavior of open quantum systems plays a key role in many applications of
quantum mechanics, examples ranging from fundamental problems, such as the …

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 …

In order to model realistic quantum devices it is necessary to simulate quantum systems
strongly coupled to their environment. To date, most understanding of open quantum …

We derive a necessary and sufficient condition for a quantum process to be Markovian
which coincides with the classical one in the relevant limit. Our condition unifies all …

In the scale-up of quantum computers, the framework underpinning fault-tolerance generally
relies on the strong assumption that environmental noise affecting qubit logic is uncorrelated …

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 …

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

We study the driven-dissipative dynamics of a network of spin-1/2 systems coupled to one or
more chiral 1D bosonic waveguides within the framework of a Markovian master equation …