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

Details Facial structures for various notions of positivity and applications to the theory of entanglement Facial structures for various notions of positivity and applications to the theory of entanglement

2012-02-20

arxiv.org/abs/1202.4255v1

Physics

Quantum Physics

An expository note. arXiv admin note: text overlap with arXiv:1108.0456

Scientific paper

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.

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