  We propose a protocol that achieves arbitrary N-qubit interactions between
nuclear spins and that can measure directly nuclear many-body correlators by
appropriately making the nuclear spins interact with a nitrogen vacancy (NV)
center electron spin. The method takes advantage of recently introduced
dynamical decoupling techniques and demonstrates that action on the electron
spin is sufficient to fully exploit nuclear spins as robust quantum registers.
Our protocol is general, being applicable to other nuclear spin based platforms
with electronic spin defects acting as mediators as the case of silicon
carbide.
