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Título

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

AutorLamata, Lucas ; León, Juan ; Salgado, D.; Solano, E.
Palabras claveQuantum entanglement
Quantum computing
Stochastic processes
Quantum communication
Matrix algebra
Fecha de publicación28-nov-2006
EditorAmerican Physical Society
CitaciónPhysical Review A 74(5): 052336 (2006)
ResumenWe 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.
Descripción10 pages, no figures.-- PACS nrs.: 03.67.Mn; 03.65.Ud; 02.10.Yn.-- ArXiv pre-print available at: http://arxiv.org/abs/quant-ph/0603243
Versión del editorhttp://dx.doi.org/10.1103/PhysRevA.74.052336
URIhttp://hdl.handle.net/10261/12272
DOI10.1103/PhysRevA.74.052336
ISSN1050-2947
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