  The study of local models using finite shared randomness originates from the
consideration about the cost of classically simulating entanglement in
composite quantum systems. We construct explicitly two families of
local-hidden-state (LHS) models for T-states, by mapping the problem to the
Werner state. The continuous decreasing of shared randomness along with
entanglement, as the anisotropy increases, can be observed in the one from the
most economical model for the Werner state. The construction of the one for
separable states shows that the separable boundary of T-states can be generated
from the one of the Werner state, and the cost is 2 classical bits.
