  Quantum sensor networks have often been studied in order to determine how
accurately they can determine a parameter, such as the strength of a magnetic
field, at one of the detectors. A more coarse-grained approach is to try to
simply determine whether a detector has interacted with a signal or not, and
which detector it was. Such discrete-outcome quantum sensor networks, discrete
in the sense that we are seeking answers to yes-no questions, are what we study
here. One issue is what is a good initial state for the network, and, in
particular, should it be entangled or not. Earlier we looked at the case when
only one detector interacted, and here we extend that study in two ways. First,
we allow more that one detector to interact, and second, we examine the effect
of grouping the detectors. When the detectors are grouped we are only
interested in which group contained interacting detectors and not in which
individual detectors within a group interacted. We find that in the case of
grouping detectors, entangled initial states can be helpful.
