Analytic solution of the separability criterion for continuous variable systems

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 $Sp(2,R)\otimes Sp(2,R)$ 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.

6 pages. To appear in Phys. Rev. A

References in corpus (6)

• Inseparability criteria for bipartite quantum states
• Entanglement of formation for symmetric Gaussian states
• Characterizing the entanglement of bipartite quantum systems
• Separability criterion for separate quantum systems
• Comment on ``Inseparability Criteria for Continuous Bipartite Quantum States''
• The Quantum Separability Problem for Gaussian States

Cited by in corpus (5)

• Correlation Matrices of Two-Mode Bosonic Systems
• Separability criteria for continuous variable systems
• Einstein-Podolsky-Rosen-like correlation on a coherent-state basis and inseparability of two-mode Gaussian states
• Explicit formula of the separability criterion for continuous variables systems
• Effect of phase fluctuation and dephasing on the dynamics of entanglement generation in a correlated emission laser