  In this paper we show that $\psi$-ontic models, as defined by Harrigan and
Spekkens (HS), cannot reproduce quantum theory. Instead of focusing on
probability, we use information theoretic considerations to show that all pure
states of $\psi$-ontic models must be orthogonal to each other, in clear
violation of quantum mechanics. Given that (i) Pusey, Barrett and Rudolph (PBR)
previously showed that $\psi$-epistemic models, as defined by HS, also
contradict quantum mechanics, and (ii) the HS categorization is exhausted by
these two types of models, we conclude that the HS categorization itself is
problematic as it leaves no space for models that can reproduce quantum theory.
