The inexorable miniaturisation of technologies, the relentless drive to improve efficiency and
the enticing prospect of boosting performance through quantum effects are all compelling …

Processes such as quantum computation, or the evolution of quantum cellular automata, are
typically described by a unitary operation implemented by an external observer. In particular …

Following the introduction of the task of $\textit {reference frame error} $$\textit {correction}
$[1], we show how, by using reference frame alignment with clocks, one can add a …

Central to the success of adaptive systems is their ability to interpret signals from their
environment and respond accordingly—they act as agents interacting with their …

The theory of relativity associates a proper time with each moving object via its world line. In
quantum theory however, such well-defined trajectories are forbidden. After introducing a …

There are many different types of time keeping devices. We use the phrase $\textit {ticking
clock} $ to describe those which–simply put–``tick''at approximately regular intervals …

A possible notion of nonclassicality for single systems can be defined on the basis of the
notion of memory cost of classically simulating probabilities observed in a temporal …

Adaptive systems—such as a biological organism gaining survival advantage, an
autonomous robot executing a functional task, or a motor protein transporting intracellular …

According to thermodynamics, the inevitable increase of entropy allows the past to be
distinguished from the future. From this perspective, any clock must incorporate an …

Stochastic modeling of complex systems plays an essential, yet often computationally
intensive, role across the quantitative sciences. Recent advances in quantum information …