  The development of large-scale quantum networks promises to bring a multitude
of technological applications as well as shed light on foundational topics,
such as quantum nonlocality. It is particularly interesting to consider
scenarios where sources within the network are statistically independent, which
leads to so-called network nonlocality, even when parties perform fixed
measurements. Here we promote certain parties to be trusted and introduce the
notion of network steering and network local hidden state (NLHS) models within
this paradigm of independent sources. In one direction, we show how results
from Bell nonlocality and quantum steering can be used to demonstrate network
steering. We further show that it is a genuinely novel effect, by exhibiting
unsteerable states that nevertheless demonstrate network steering, based upon
entanglement swapping, yielding a form of activation. On the other hand, we
provide no-go results for network steering in a large class of scenarios, by
explicitly constructing NLHS models.
