Acín dal Maschio, AntonioAndrianov, Alexander A.Costa Farràs, LauraJané, E.Latorre, José IgnacioTarrach, R., 1948-2010-06-092010-06-0920000031-9007https://hdl.handle.net/2445/12805We 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.4 p.application/pdfeng(c) American Physical Society, 2000Teoria quànticaTeoria de camps (Física)Quantum mechanics, field theories, and special relativityQuantum theoryField theory (Physics)Generalized Schmidt decomposition and classification of three-quantum-bit statesinfo:eu-repo/semantics/article189682info:eu-repo/semantics/openAccess