Best separable approximation of multipartite diagonal symmetric states

Ruben Quesada; Anna Sanpera

doi:https://doi.org/10.1103/PhysRevA.89.052319

Best separable approximation of multipartite diagonal symmetric states

Ruben Quesada, Anna Sanpera

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Abstract

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 language	English
Article number	052319
Journal	Physical Review A - Atomic, Molecular, and Optical Physics
Volume	89
DOIs	https://doi.org/10.1103/PhysRevA.89.052319
Publication status	Published - 15 May 2014

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https://doi.org/10.1103/PhysRevA.89.052319

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title = "Best separable approximation of multipartite diagonal symmetric states",

abstract = "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. {\textcopyright} 2014 American Physical Society.",

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AB - 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.

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Best separable approximation of multipartite diagonal symmetric states

Abstract

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