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 …

One of the best signatures of nonclassicality in a quantum system is the existence of
correlations that have no classical counterpart. Different methods for quantifying the …

To write an introduction to the dynamics of open quantum systems may seem at first a
complicated, albeit perhaps unnecessary, task. On the one hand, the field is quite broad and …

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 …

Quantum discord characterizes “nonclassicality” of correlations in quantum mechanics. It
has been proposed as the key resource present in certain quantum communication tasks …

We review concepts and methods associated with quantum discord and related topics. We
also describe their possible connections with other aspects of quantum information and …

We discuss the problem of the separation of total correlations in a given quantum state into
entanglement, dissonance, and classical correlations using the concept of relative entropy …

Quantum mechanics provides the most accurate microscopic description of the world around
us, yet the interface between quantum mechanics and biology is only now being explored …