Generalized Schmidt decomposition and classification of   three-quantum-bit states
  We prove for any pure three-quantum-bit state the existence of local bases which allow to build a set of five orthogonal product states in terms of which the state can be written in a unique form. This leads to a canonical form which generalizes the two-quantum-bit Schmidt decomposition. It is uniquely characterized by the five entanglement parameters. It leads to a complete classification of the three-quantum-bit states. It shows that the right outcome of an adequate local measurement always erases all entanglement between the other two parties. 
A. Acin, A. Andrianov, L. Costa, E. Jane, J.I. Latorre and R. Tarrach