English

A complete criterion for separability detection

Quantum Physics 2013-05-29 v1

Abstract

Using new results on the separability properties of bosonic systems, we provide a new complete criterion for separability. This criterion aims at characterizing the set of separable states from the inside by means of a sequence of efficiently solvable semidefinite programs. We apply this method to derive arbitrarily good approximations to the optimal measure-and-prepare strategy in generic state estimation problems. Finally, we report its performance in combination with the criterion developed by Doherty et al. [1] for the calculation of the entanglement robustness of a relevant family of quantum states whose separability properties were unknown.

Keywords

Cite

@article{arxiv.0906.2735,
  title  = {A complete criterion for separability detection},
  author = {Miguel Navascues and Masaki Owari and Martin B. Plenio},
  journal= {arXiv preprint arXiv:0906.2735},
  year   = {2013}
}
R2 v1 2026-06-21T13:13:38.296Z