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Phys. Rev. A 58, 826–830 (1998)

Local description of quantum inseparability

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Anna Sanpera1, Rolf Tarrach2, and Guifré Vidal2
1Commissariat à l’Energie Atomique, Service des Photons, Atomes et Molecules, Centre d’Etudes de Saclay, 91191 Gif-Sur-Yvette, France
2Departament d’Estructura i Constituents de la Matèria, Universitat de Barcelona, 08028 Barcelona, Spain

Received 31 December 1997; published in the issue dated August 1998

We show how to decompose any density matrix of the simplest binary composite systems, whether separable or not, in terms of only product vectors. We determine for all cases the minimal number of product vectors needed for such a decomposition. Separable states correspond to mixing from one to four pure product states. Inseparable states can be described as pseudomixtures of four or five pure product states, and can be made separable by mixing them with one or two pure product states.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.58.826
DOI:
10.1103/PhysRevA.58.826
PACS:
03.65.Bz, 42.50.Dv, 89.70.+c