English

Best Separable Approximation of multipartite diagonal symmetric states

Quantum Physics 2014-05-20 v2

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)]), that is, their unique convex decomposition into a separable part and an entangled one with maximal weight of the separable one.

Keywords

Cite

@article{arxiv.1306.6184,
  title  = {Best Separable Approximation of multipartite diagonal symmetric states},
  author = {Ruben Quesada and Anna Sanpera},
  journal= {arXiv preprint arXiv:1306.6184},
  year   = {2014}
}

Comments

8 pages, 1 figure

R2 v1 2026-06-22T00:40:31.838Z