Entanglement Measures in Ion-Trap Quantum Simulators without Full   Tomography
  We propose a quantum algorithm in an embedding ion-trap quantum simulator for the efficient computation of N-qubit entanglement monotones without the necessity of full tomography. Moreover, we discuss possible realistic scenarios and study the associated decoherence mechanisms. 
J. S. Pedernales, R. Di Candia, P. Schindler, T. Monz, M. Hennrich, J.   Casanova, E. Solano
quant-ph cond-mat.mes-hall cond-mat.quant-gas cond-mat.supr-con