English

Separability and entanglement of four-mode Gaussian states

Quantum Physics 2009-03-06 v1

Abstract

The known Peres-Horodecki criterion and scaling criterion of separability are considered on examples of three-mode and four-mode Gaussian states of electromagnetic field. It is shown that the principal minors of the photon quadrature dispersion matrix are sensitive to the change of scaling parameters. An empirical observation has shown that the bigger the modulus of negative principal minors, the more entangled the state.

Keywords

Cite

@article{arxiv.0903.0936,
  title  = {Separability and entanglement of four-mode Gaussian states},
  author = {Vladimir I. Man'ko and Alexandr A. Sergeevich},
  journal= {arXiv preprint arXiv:0903.0936},
  year   = {2009}
}

Comments

14 pages, 11 figures