Exact positivity boundaries, nondecomposability transitions, and PPT-entanglement thresholds are derived for three parametric families of sparse positive maps on qutrits.
On the origin of non-decomposable maps
2 Pith papers cite this work. Polarity classification is still indexing.
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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.
fields
quant-ph 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
A differentiable SDP method generates positive non-decomposable maps, identifies parametrized families, and explores open problems like the PPT square conjecture.
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Sparse positive maps on qutrits with exact nondecomposability thresholds and PPT-entanglement transitions
Exact positivity boundaries, nondecomposability transitions, and PPT-entanglement thresholds are derived for three parametric families of sparse positive maps on qutrits.
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Generating Non-Decomposable Maps with Differentiable Semidefinite Programming
A differentiable SDP method generates positive non-decomposable maps, identifies parametrized families, and explores open problems like the PPT square conjecture.