21 citations · 83 across the 22 of their papers we have counts for
16 papers · 1 filter
Bi-qutrit entangled edge states of positive partial transposes with largest ranks
Kyung Hoon Han, Seung-Hyeok Kye
Whenever is an eight dimensional subspace of the bi-qutrit quantum system whose orthogonal complement is spanned by a vector of Schmidt rank three, we show that there exist PPT…
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…
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…
There exist infinitely many kinds of partial separability/entanglement
Kil-Chan Ha, Kyung Hoon Han, Seung-Hyeok Kye
In tri-partite systems, there are three basic biseparability, -, - and - biseparability according to bipartitions of local systems. We begin with three convex…