English

Scaling Separability Criterion: Application To Gaussian States

Quantum Physics 2010-12-21 v2

Abstract

We introduce examples of three- and four-mode entangled Gaussian mixed states that are not detected by the scaling and Peres-Horodecki separability criteria. The presented modification of the scaling criterion resolves this problem. Also it is shown that the new criterion reproduces the main features of the scaling pictures for different cases of entangled states, while the previous versions lead to completely different outcomes. This property of the presented scheme is evidence of its higher generality.

Keywords

Cite

@article{arxiv.0910.1405,
  title  = {Scaling Separability Criterion: Application To Gaussian States},
  author = {Alexandr Sergeevich and Vladimir I. Man'ko},
  journal= {arXiv preprint arXiv:0910.1405},
  year   = {2010}
}

Comments

7 pages, 4 figures

R2 v1 2026-06-21T13:55:34.607Z