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 …

Quantum coherence and quantum correlations are of fundamental and practical significance
for the development of quantum mechanics. They are also cornerstones of quantum …

The control of individual quantum systems promises a new technology for the 21st century-
quantum technology. This book is the first comprehensive treatment of modern quantum …

We address the problem of quantifying the non-Markovian character of quantum time
evolutions of general systems in contact with an environment. We introduce two different …

Quantum heat engines (QHE) are thermal machines where the working substance is a
quantum object. In the extreme case, the working medium can be a single particle or a few …

Markovian approximation is a widely-employed idea in descriptions of the dynamics of open
quantum systems (OQSs). Although it is usually claimed to be a concept inspired by …

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

Quantum simulation on emerging quantum hardware is a topic of intense interest. While
many studies focus on computing ground-state properties or simulating unitary dynamics of …

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 …

Master equations govern the time evolution of a quantum system interacting with an
environment, and may be written in a variety of forms. Time-independent or memoryless …