4 papers
Relative Kubo-Ando Means of Completely Positive Maps
Mohsen Kian
We develop a Kubo--Ando theory on order intervals of completely positive maps. Using Arveson's Radon--Nikodym theorem as a structural tool, we define relative Kubo--Ando means \(Φ…
Kubo-Ando Means and Rigidity of Quantum Positivity Cones
Mohsen Kian
We investigate the stability of quantum positivity cones under nonlinear operator means. Specifically, we examine how Kubo--Ando means interact with the separable, positive partial…
Matrix-Test Duality: A Support-Function Characterization for -Convex Families of CP Maps
Mohsen Kian, Mario Krnic
We develop a matrix-test dual framework for -convex families of completely positive maps $\CP(\mathscr S,\mathscr T)$, where is an operator system and $\mathscr T…
A Hierarchy of Entanglement Cones via Rank-Constrained -Convex Hulls
Mohsen Kian
This paper systematically investigates the geometry of fundamental quantum cones, the separable cone () and the Positive Partial Transpose (PPT) cone ($\mathcal{P}_{…