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Partial positive scaling transform: a separability criterion

Olga V. Manko·V. I. Manko·G. Marmo·Anil Shaji·E. C. G. Sudarshan·F. Zaccaria
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Abstract

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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Olga V. Manko, V. I. Manko, G. Marmo, Anil Shaji, E. C. G. Sudarshan, F. Zaccaria. 2005-02-14. Partial positive scaling transform: a separability criterion. https://doi.org/10.1016/j.physleta.2005.02.070

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