Partial positive scaling transform: a separability criterion

Man'ko, Olga V. ; Man'ko, V. I. ; Marmo, G. ; Shaji, Anil ; Sudarshan, E. C. G. ; Zaccaria, F. (2005) Partial positive scaling transform: a separability criterion Physics Letters A, 339 (3-5). pp. 194-206. ISSN 0375-9601

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The problem of constructing a necessary and sufficient condition for establishing the separability of continuous variable systems is revisited. Simon [Phys. Rev. Lett. 84 (2000) 2726] 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.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Separability; Entanglement; Canonical Variables; Partial Scaling; Partial Time Reversal; Tomogram; Robertson-Schrödinger Uncertainty
ID Code:50999
Deposited On:27 Jul 2011 13:03
Last Modified:18 May 2016 05:06

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