Geometry of the faces for separable states arising from generalized Choi maps

Details Geometry of the faces for separable states arising from generalized Choi maps Geometry of the faces for separable states arising from generalized Choi maps

2012-03-28

arxiv.org/abs/1203.6262v1

Physics

Quantum Physics

15 pages, 1 figure

Scientific paper

We exhibit examples of separable states which are on the boundary of the
convex cone generated by all separable states but in the interior of the convex
cone generated by all PPT states. We also analyze the geometric structures of
the smallest face generated by those examples. As a byproduct, we obtain a
large class of entangled states with positive partial transposes.

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