  Multi-spin interactions can be engineered with artificial quantum spins.
However, it is challenging to verify such interactions experimentally. Here we
describe two methods to characterize the $n$-local coupling of $n$ spins.
First, we analyze the variation of the transition energy of the static system
as a function of local spin fields. Standard measurement techniques are
employed to distinguish $n$-local interactions between up to five spins from
lower-order contributions in the presence of noise and spurious fields and
couplings. Second, we show a detection technique that relies on time dependent
driving of the coupling term. Generalizations to larger system sizes are
analyzed for both static and dynamic detection methods, and we find that the
dynamic method is asymptotically optimal when increasing the system size. The
proposed methods enable robust exploration of multi-spin interactions across a
broad range of both coupling strengths and qubit modalities.
