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 …

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 …

The dynamical convergence of a system to the thermal distribution, or Gibbs state, is a
standard assumption across all of the physical sciences. The Gibbs state is determined just …

We introduce the multipartite collision model, defined in terms of elementary interactions
between subsystems and ancillas, and show that it can simulate the Markovian dynamics of …

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 …

The advent of noisy intermediate-scale quantum (NISQ) technology is changing rapidly the
landscape and modality of research in quantum physics. NISQ devices, such as the IBM Q …

Quantum collision models (CMs) provide advantageous case studies for investigating major
issues in open quantum systems theory, and especially quantum non-Markovianity. After …

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 …

Machine learning methods have proved to be useful for the recognition of patterns in
statistical data. The measurement outcomes are intrinsically random in quantum physics …