  We show that genuine multipartite entanglement of all multipartite pure
states in arbitrary finite dimension can be detected in a device-independent
way by employing bipartite Bell inequalities on states that are
deterministically generated from the initial state via local operations. This
leads to an efficient scheme for large classes of multipartite states that are
relevant in quantum computation or condensed-matter physics, including cluster
states and the ground state of the Affleck-Kennedy-Lieb-Tasaki (AKLT) model.
For cluster states the detection of genuine multipartite entanglement involves
only measurements on a constant number of systems with an overhead that scales
linear with the system size, while for the AKLT model the overhead is
polynomial. In all cases our approach shows robustness against experimental
imperfections.
