Quantum Information Superposition and Entanglement Density Matrices

We are unclear about the relationship between quantum information models and basian ones. There are two sides to this issue. Does there always exist a basian type model with a classical phas space, a priori distribution and basian up dating that it could explain any experimental results? Two, if both quantum and basine approaches are used to model the same phenomenon, does the quantum model imply restrictions on the basian model? Ok, so i'm, i'm not quite sure what i what counts as the scope of what you're calling a basian model.