Inductive classification of multipartite entanglement under stochastic local operations and classical communication

L. Lamata, J. León, D. Salgado, E. Solano

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

63 Citas (Scopus)

Resumen

We propose an inductive procedure to classify N -partite entanglement under stochastic local operations and classical communication provided such a classification is known for N-1 qubits. The method is based upon the analysis of the coefficient matrix of the state in an arbitrary product basis. We illustrate this approach in detail with the well-known bipartite and tripartite systems, obtaining as a by-product a systematic criterion to establish the entanglement class of a given pure state without resourcing to any entanglement measure. The general case is proved by induction, allowing us to find an upper bound for the number of N -partite entanglement classes in terms of the number of entanglement classes for N-1 qubits. © 2006 The American Physical Society.
Idioma originalEspañol
PublicaciónPhysical Review A: atomic, molecular, and optical physics
Volumen74
EstadoPublicada - 6 dic. 2006
Publicado de forma externa

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