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Entanglement Theory Quantum Correlations

Global geometric difference between separable and Positive partial transpose states

arXiv
Authors: Kil-Chan Ha, Seung-Hyeok Kye

Year

2013

Paper ID

33357

Status

Preprint

Abstract Read

~2 min

Abstract Words

104

Citations

N/A

Abstract

In the convex set of all 3ot 3 states with positive partial transposes, we show that one can take two extreme points whose convex combinations belong to the interior of the convex set. Their convex combinations may be even in the interior of the convex set of all separable states. In general, we need at least mn extreme points to get an interior point by their convex combination, for the case of the convex set of all mot n separable states. This shows a sharp distinction between PPT states and separable states. We also consider the same questions for positive maps and decomposable maps.

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  • In the convex set of all 3ot 3 states with positive partial transposes, we show that one can take two extreme points whose convex combinations belong to the interior of the...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1308.0952 [2] arXiv https://arxiv.org/abs/1308.0952 [3] Publisher https://arxiv.org/abs/1308.0952

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