  Multipartite entanglement constitutes one of the key resources in quantum
information processing. We exploit correlation tensor norms to develop a
framework for its experimental detection without the need for shared frames of
reference. By bounding these norms for partially separable states and states of
limited dimension we achieve an extensive characterization of entanglement in
multipartite systems in an experimentally feasible way. Furthermore we show
that both bi- and multipartite dimensionality of entanglement can be revealed
by our methods.
