Physics – Quantum Physics
Scientific paper
2009-02-12
Phys. Rev. A 79 (2009) 032334
Physics
Quantum Physics
6 pages. To appear in Phys. Rev. A
Scientific paper
10.1103/PhysRevA.79.032334
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.
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