English

Analytic solution of the separability criterion for continuous variable systems

Quantum Physics 2012-01-31 v1

Abstract

By using the algebraic separability criterion of R. Simon, we present an explicit determination of squeezing parameters for which the P-representation condition saturates the Sp(2,R)Sp(2,R)Sp(2,R)\otimes Sp(2,R) invariant separability condition for continuous variable two-party Gaussian systems. We thus give for the first time the explicit analytic formulas of squeezing parameters which establish the equivalence of the separability condition with the P-representation condition. The implications of our algebraic analysis on some of the past related works are discussed.

Cite

@article{arxiv.0902.2059,
  title  = {Analytic solution of the separability criterion for continuous variable systems},
  author = {Kazuo Fujikawa},
  journal= {arXiv preprint arXiv:0902.2059},
  year   = {2012}
}

Comments

6 pages. To appear in Phys. Rev. A

R2 v1 2026-06-21T12:10:37.302Z