21 citations · 83 across the 22 of their papers we have counts for
25 papers
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…
Categorification of Chemical Reactions: a bottom-up tower from stoichiometry to quantum structure
Kyunghoon Han
Chemistry's rules carry exceptions: the octet rule, Hess's Law, detailed balance, orbital symmetry selection rules, all with disclaimers memorised separately. Their cause: a questi…
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…