On the origin of non-decomposable maps
classification
🧮 math.OA
math-phmath.MPquant-ph
keywords
mapsmathcaldecomposableformalismcertainconstructioncriteriadimensional
read the original 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.
This paper has not been read by Pith yet.
Forward citations
Cited by 1 Pith paper
-
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.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.