Best separable approximation of multipartite diagonal symmetric states

Ruben Quesada, Anna Sanpera

Research output: Contribution to journalArticleResearchpeer-review

11 Citations (Scopus)


The structural study of entanglement in multipartite systems is hindered by the lack of necessary and sufficient operational criteria able to discriminate among the various entanglement properties of a given mixed state. Here, we pursue a different route to the study of multipartite entanglement based on the closeness of a multipartite state to the set of separable ones. In particular, we analyze multipartite diagonal symmetric N-qubit states and provide the analytical expression for their best separable approximation (BSA, [Phys. Rev. Lett. 80, 2261 (1998)PRLTAO0031-900710.1103/PhysRevLett.80.2261]), that is, their unique convex decomposition into a separable part and an entangled part, with maximal weight of the separable part. © 2014 American Physical Society.
Original languageEnglish
Article number052319
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Publication statusPublished - 15 May 2014


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