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In this paper we show that $\psi$-ontic models, as defined by Harrigan andSpekkens (HS), cannot reproduce quantum theory. Instead of focusing onprobability, we use information theoretic considerations to show that all purestates of $\psi$-ontic models must be orthogonal to each other, in clearviolation of quantum mechanics. Given that (i) Pusey, Barrett and Rudolph (PBR)previously showed that $\psi$-epistemic models, as defined by HS, alsocontradict quantum mechanics, and (ii) the HS categorization is exhausted bythese two types of models, we conclude that the HS categorization itself isproblematic as it leaves no space for models that can reproduce quantum theory.

On the reality of the quantum state once again: A no-go theorem for $\psi$-ontic models