Phys. Rev. Lett. 84, 2726–2729 (2000)Peres-Horodecki Separability Criterion for Continuous Variable SystemsReceived 15 September 1999; published in the issue dated 20 March 2000 The Peres-Horodecki criterion of positivity under partial transpose is studied in the context of separability of bipartite continuous variable states. The partial transpose operation admits, in the continuous case, a geometric interpretation as mirror reflection in phase space. This recognition leads to uncertainty principles, stronger than the traditional ones, to be obeyed by all separable states. For all bipartite Gaussian states, the Peres-Horodecki criterion turns out to be a necessary and sufficient condition for separability. © 2000 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.84.2726
DOI:
10.1103/PhysRevLett.84.2726
PACS:
03.67.-a, 03.65.Bz, 42.50.Dv, 89.70.+c
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