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arxiv: 1108.2233 · v1 · pith:YXS6T4TPnew · submitted 2011-08-10 · 🪐 quant-ph · math-ph· math.MP

On exposed positive maps: Robertson and Breuer-Hall maps

classification 🪐 quant-ph math-phmath.MP
keywords mapsexposedrobertsonbreuer-hallpositivealgebraalreadybyproduct
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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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