A Class of Linear Positive Maps in Matrix Algebras
classification
🪐 quant-ph
keywords
mapsclasslinearpositiveaffinealgebrasballclosed
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A class of linear positive, trace preserving maps in $M_n$ is given in terms of affine maps in $\bBR^{n^2-1}$ which map the closed unit ball into itself.
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Cited by 1 Pith paper
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Detecting bipartite entanglement with PnCP maps and non-negative polynomials
Implements PnCP maps from non-SOS polynomials, proves they are indecomposable and boundary-localized, shows inequivalence to most known maps, and demonstrates detection of PPT entangled states missed by other criteria.
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