Partial positive scaling transform: a separability criterion
摘要
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.
引用
@article{arxiv.quant-ph/0502089,
title = {Partial positive scaling transform: a separability criterion},
author = {Olga V. Manko and V. I. Manko and G. Marmo and Anil Shaji and E. C. G. Sudarshan and F. Zaccaria},
journal= {arXiv preprint arXiv:quant-ph/0502089},
year = {2009}
}
备注
Submitted for publication to Phys. Lett. A