Seung-Hyeok Kye

TL;DR: In this paper, a class of positive linear maps in the three-dimensional matrix algebra, which are generalizations of the positive linear map constructed by Choi in the relation with positive semidefinite biquadratic forms, are considered.

TL;DR: In this paper, the authors characterized extreme rays of the dual cone of the cone consisting of all s-positive (respectively t-copositive) linear maps between matrix algebras.

TL;DR: In this paper, the authors construct entangled states with positive partial transposes using indecomposable positive linear maps between matrix algebras and show that they generate extreme rays in the cone of all positive semi-definite matrices with positive transposes.

TL;DR: In this paper, facial structures for the convex cones consisting of positive linear maps, completely positive linear mapping, and decomposable positive linear map between matrix algebras are explained.

TL;DR: In this article, it was shown that every entanglement with positive partial transposition may be constructed from an indecomposable positive linear map between matrix algebras.