  By developing a new framework of likelihood POVMs, analysis techniques and a
new proof of the quantum covering lemma, we address the simulation of separable
quantum measurement over bipartite states. In addition to a new one shot inner
bound that naturally generalizes to the asymptotic case, we demonstrate the
power, generality and universality of the developed techniques in the most
general distributed measurement scenario by recovering all current known inner
bounds. In addition to the above results, this framework is appealing in being
the most natural and simple POVM simulation protocol.
