60 citations · 557 across the 47 of their papers we have counts for
8 papers · 2 filters
Exposedness of Choi type entanglement witnesses and applications to lengths of separable states
Kil-Chan Ha, Seung-Hyeok Kye
We present a large class of indecomposable exposed positive linear maps between three dimensional matrix algebras. We also construct two qutrit separable states with lengths ten in…
Separable states with unique decompositions
Kil-Chan Ha, Seung-Hyeok Kye
We search for faces of the convex set consisting of all separable states, which are affinely isomorphic to simplices, to get separable states with unique decompositions. In the two…
Entanglement witnesses arising from Choi type positive linear maps
Kil-Chan Ha, Seung-Hyeok Kye
We construct optimal PPTES witnesses to detect PPT entangled edge states of type constructed recently \cite{kye_osaka}. To do this, we consider positive linear…
The structural physical approximations and optimal entanglement witnesses
Kil-Chan Ha, Seung-Hyeok Kye
We introduce the notions of positive and copositive types for entanglement witnesses, depending on the distance to the positive part and copositive part. An entanglement witness $W…
Optimality for indecomposable entanglement witnesses
Kil-Chan Ha, Seung-Hyeok Kye
We examine various notions related with the optimality for entanglement witnesses arising from Choi type positive linear maps. We found examples of optimal entanglement witnesses w…
Geometry of the faces for separable states arising from generalized Choi maps
Kil-Chan Ha, Seung-Hyeok Kye
We exhibit examples of separable states which are on the boundary of the convex cone generated by all separable states but in the interior of the convex cone generated by all PPT s…
Facial structures for various notions of positivity and applications to the theory of entanglement
Seung-Hyeok Kye
In this expository note, we explain facial structures for the convex cones consisting of positive linear maps, completely positive linear maps, decomposable positive linear maps be…
Classification of bi-qutrit positive partial transpose entangled edge states by their ranks
Seung-Hyeok Kye, Hiroyuki Osaka
We construct PPT entangled edge states with maximal ranks, to complete the classification of PPT entangled edge states by their types. The ranks of the st…