  We demonstrate the presence of genuine multipartite entanglement between the
modes of quantum fields in non-uniformly moving cavities. The transformations
generated by the cavity motion can be considered as multipartite quantum gates.
We present two setups for which multi-mode entanglement can be generated for
bosons and fermions. As a highlight we show that the bosonic genuine
multipartite correlations can be resonantly enhanced. Our results provide
fundamental insights into the structure of Bogoliubov transformations and
suggest strong links between quantum information, quantum fields in curved
spacetimes and gravitational analogs by way of the equivalence principle.
