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arXiv · 1706.07945

On the origin of non-decomposable maps

W. A. Majewski
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Abstract

The Radon-Nikodym formalism is used to study the structure of the set of positive maps from $\mathcal{B}(\mathcal{H})$ into itself, where $\mathcal{H}$ is a finite dimensional Hilbert space. In particular, this formalism was employed to formulate simple criteria which ensure that certain maps are non decomposable. In that way, a recipe for construction of non decomposable maps was obtained.

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W. A. Majewski. 2017-06-24. On the origin of non-decomposable maps. https://arxiv.org/abs/1706.07945

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