The precision of measurements in bosonic transport processes is limited by kinetic and thermokinetic uncertainty relations. These relations, which link the precision of an observable to entropy production and the activity of the process, have proven particularly robust in linear bosonic systems, even in the strong-coupling regime. In these cases, substituting global activity with a local activity, focused on the measurement contact of interest, allows for very tight bounds on precision.

However, the influence of nonlinearities or interactions on the validity and predictability of these local bounds was an open question. Researchers have addressed this query, exploring how nonlinearities affect these uncertainty relations and how this influence depends on the specific definition of the system's activity. The study focused on two experimentally relevant models: a network of harmonic oscillators and the intrinsically nonlinear spin-boson model.

The results of this research provide experimentally verifiable predictions on how nonlinearities can impact, and even break, the local precision bounds established by kinetic and thermokinetic uncertainty relations. This advance is crucial for a better understanding of the fundamental limits of measurement in complex quantum systems and for the design of future experiments in the field of quantum transport.