On exposed positive maps: Robertson and Breuer-Hall maps

Details On exposed positive maps: Robertson and Breuer-Hall maps On exposed positive maps: Robertson and Breuer-Hall maps

2011-08-10

arxiv.org/abs/1108.2233v1

Physics

Quantum Physics

7 pages

Scientific paper

It is well known that so called Breuer-Hall positive maps used in
entanglement theory are optimal. We show that these maps possess much more
subtle property --- they are exposed. As a byproduct it proves that a Robertson
map in the algebra of 4 x 4 complex matrices is not only extreme, which was
already shown by Robertson, but also exposed.

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