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 …

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 …

Within the histories formalism the decoherence functional is a formal tool to investigate the
emergence of classicality in isolated quantum systems, yet an explicit evaluation of it from …

Treating reference frames fundamentally as quantum systems is inevitable in quantum
gravity and also in quantum foundations once considering laboratories as physical systems …

We show that it is impossible to perform ideal projective measurements on quantum systems
using finite resources. We identify three fundamental features of ideal projective …

The thermodynamic framework of repeated interactions is generalized to an arbitrary open
quantum system in contact with a heat bath. Based on these findings, the theory is then …

We show how a tensor-network-based machine learning algorithm can learn the structures
of generic, non-Markovian, quantum stochastic processes. First, a process is represented as …

In classical physics, the Kolmogorov extension theorem lays the foundation for the theory of
stochastic processes. It has been known for a long time that, in its original form, this theorem …

We set up a framework for quantum stochastic thermodynamics based solely on
experimentally controllable but otherwise arbitrary interventions at discrete times. Using …

When describing the effective dynamics of an observable in a many-body system, the
repeated randomness assumption, which states that the system returns in a short time to a …