  We introduce the concept of embedding quantum simulators, a paradigm allowing
the efficient quantum computation of a class of bipartite and multipartite
entanglement monotones. It consists in the suitable encoding of a simulated
quantum dynamics in the enlarged Hilbert space of an embedding quantum
simulator. In this manner, entanglement monotones are conveniently mapped onto
physical observables, overcoming the necessity of full tomography and reducing
drastically the experimental requirements. Furthermore, this method is directly
applicable to pure states and, assisted by classical algorithms, to the
mixed-state case. Finally, we expect that the proposed embedding framework
paves the way for a general theory of enhanced one-to-one quantum simulators.
