1202.4255 (Seung-Hyeok Kye)

Facial structures for various notions of positivity and applications to
the theory of entanglement    [PDF]

Seung-Hyeok Kye

In this expository note, we explain facial structures for the convex cones
consisting of positive linear maps, completely positive linear maps,
decomposable positive linear maps between matrix algebras, respectively. These
will be applied to study the notions of entangled edge states with positive
partial transposes and optimality of entanglement witnesses.

View original: http://arxiv.org/abs/1202.4255