  While quantum entanglement is a highly non-classical feature, certain
entangled states cannot realize the nonlocal effect of quantum steering. In
this work, we quantify the resource content of such states in terms of how much
shared randomness is needed to simulate their dynamical behavior. We rigorously
show that the shared randomness cost is unbounded even for some two-qubit
unsteerable states. Moreover, the simulation cost for entangled states is
always strictly greater than that of any separable state. Our work utilizes the
equivalence between steering and measurement incompatibility, and it connects
both to the zonotope approximation problem of Banach space theory.
