  Understanding the role of correlations in quantum systems is both a
fundamental challenge as well as of high practical relevance for the control of
multi-particle quantum systems. Whereas a lot of research has been devoted to
study the various types of correlations that can be present in the states of
quantum systems, in this work we introduce a general and rigorous method to
quantify the amount of correlations in the dynamics of quantum systems. Using a
resource-theoretical approach, we introduce a suitable quantifier and
characterize the properties of correlated dynamics. Furthermore, we benchmark
our method by applying it to the paradigmatic case of two atoms weakly coupled
to the electromagnetic radiation field, and illustrate its potential use to
detect and assess spatial noise correlations in quantum computing
architectures.
