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 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 pages, Revtex. Published version, minor changes and new references added

References in corpus (5)

• Three qubits can be entangled in two inequivalent ways
• Distributed Entanglement
• Separability and distillability of multiparticle quantum systems
• On multi-particle entanglement
• On Multipartite Pure-State Entanglement

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