2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/92951Using pure entangled Schmidt states, we show that m-positivity of a map is bounded by the ranks of its negative Kraus matrices. We also give an algebraic condition for a map to be m-positive. We interpret these results in the context of positive maps as entanglement witnesses, and find that only 1-positive maps are needed for testing entanglement.7 pagesQuantum Physicstext