60 citations · 557 across the 47 of their papers we have counts for
49 papers
Local geometry for Schmidt number witnesses
Young-Hoon Kiem, Seung-Hyeok Kye
Suppose that is the face of the convex set of all bi-partite states which consists of states with ranges contained in a subspace . For generic subspaces w…
Supporting hyperplanes for Schmidt numbers and Schmidt number witnesses
Kyung Hoon Han, Seung-Hyeok Kye
We consider the compact convex set of all bi-partite states of Schmidt number less than or equal to , together with that of -blockpositive matrices of trace one, which play t…
Global locations of Schmidt number witnesses
Kyung Hoon Han, Seung-Hyeok Kye
We investigate global locations of Schmidt number witnesses which are outside of the convex set of all bipartite states. Their locations are classified by interiors of faces of the…
Choi matrices revisited. III
Kyung Hoon Han, Seung-Hyeok Kye
We look for all linear isomorphisms from the mapping spaces onto the tensor products of matrices which send -superpositive maps onto unnormalized bi-partite states of Schmidt nu…
Infinite dimensional analogues of Choi matrices
Kyung Hoon Han, Seung-Hyeok Kye, Erling Størmer
For a class of linear maps on a von Neumann factor, we associate two objects, bounded operators and trace class operators, both of which play the roles of Choi matrices. Each of th…
Choi matrices revisited. II
Kyung Hoon Han, Seung-Hyeok Kye
In this paper, we consider all possible variants of Choi matrices of linear maps, and show that they are determined by non-degenerate bilinear forms on the domain space. We will do…