  Based on the concept of ontological states and their dynamical evolution by
permutations, as assumed in the Cellular Automaton Interpretation (CAI) of
quantum mechanics, we address the issue whether quantum-classical hybrids can
be described consistently in this framework. We consider chains of 'classical'
two-state Ising spins and their discrete deterministic dynamics as an
ontological model with an unitary evolution operator generated by pair exchange
interactions. A simple error mechanism is identified, which turns them into
quantum mechanical objects, chains of qubits. Consequently, an interaction
between a quantum mechanical and a 'classical' chain can be introduced and its
consequences for this quantum-classical hybrid be studied. We find that such
hybrid character of composites, generally, does not persist under interactions
and, therefore, cannot be upheld consistently, or even as a fundamental notion
as in Kopenhagen interpretation, within CAI.
