  We implement an embedding quantum simulator (EQS) in nuclear spin systems.
The experiment consists of a simulator of up to three qubits, plus a single
ancillary qubit, where we are able to efficiently measure the concurrence and
the three-tangle of two-qubit and a three-qubit systems as they undergo
entangling dynamics. The EQS framework allows us to drastically reduce the
number of measurements needed for this task, which otherwise would require
full-state reconstruction of the qubit system. Our simulator is built of the
nuclear spins of 4 $^{13}C$ atoms in a molecule of trans-crotonic acid
manipulated with NMR techniques.
