Physics – Quantum Physics
Scientific paper
2004-01-10
Phys. Rev. A 70, 034303 (2004).
Physics
Quantum Physics
Final version with new results added. Slightly more detailed than the accepted manuscript (to appear in Phys. Rev. A)
Scientific paper
10.1103/PhysRevA.70.034303
P-representability is a necessary and sufficient condition for separability of bipartite Gaussian states only for the special subset of states whose covariance matrix are $Sp(2,R)\otimes Sp(2,R)$ locally invariant. Although this special class of states can be reached by a convenient $Sp(2,R)\otimes Sp(2,R)$ transformation over an arbitrary covariance matrix, it represents a loss of generality, avoiding inference of many general aspects of separability of bipartite Gaussian states.
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