Entanglement cost for steering assemblages

In this paper we pose the question of how one can quantify amount entanglement necessary to create a given steering assemblage, when original state and measurements are unknown. To do this, extend concepts cost formation assemblages, show upper bound them with semidefinite programming. We prove that for assemblages is not generally continuous flat roof extension; use numerical analysis illustrate these properties. Finally, discuss consequences results assemblage-to-assemblage conversion directions further research.