title: Generalized schmidt decomposition and classification of three-quantum-Bit states
abstract: We prove for any pure three-quantum-bit state the existence of local bases which allow one 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.
authors.affiliation: Departament d'Estructura i Constituents de la Materia, Universitat de Barcelona, Diagonal 647, E-08028 Barcelona, Spain.
authors.initials: A
authors.lastname: Acin
authors.initials: A
authors.lastname: Andrianov
authors.initials: L
authors.lastname: Costa
authors.initials: E
authors.lastname: Jane
authors.initials: JI
authors.lastname: Latorre
authors.initials: R
authors.lastname: Tarrach