Partial positive scaling transform: a separability criterion

Details Partial positive scaling transform: a separability criterion Partial positive scaling transform: a separability criterion

2005-02-14

arxiv.org/abs/quant-ph/0502089v1

Phys. Lett. A 339, 194-206 (2005)

Physics

Quantum Physics

Submitted for publication to Phys. Lett. A

Scientific paper

10.1016/j.physleta.2005.02.070

The problem of constructing a necessary and sufficient condition for establishing the separability of continuous variable systems is revisited. Simon [R. Simon, Phys. Rev. Lett. 84, 2726 (2000)] pointed out that such a criterion may be constructed by drawing a parallel between the Peres' partial transpose criterion for finite dimensional systems and partial time reversal transformation for continuous variable systems. We generalize the partial time reversal transformation to a partial scaling transformation and re-examine the problem using a tomographic description of the continuous variable quantum system. The limits of applicability of the entanglement criteria obtained from partial scaling and partial time reversal are explored.

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