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Understanding the role of correlations in quantum systems is both a fundamental challenge as well as of high practical relevance for the control ofmulti-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 workwe introduce a general and rigorousmethod 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 ourmethod by applying it to the paradigmatic case of two atomsweakly coupled to the electromagnetic radiation field, and illustrate its potential use to detect and assess spatial noise correlations in quantumcomputing architectures.

Erratum: Quantifying spatial correlations of general quantum dynamics (2015 New J. Phys. 17 062001)