Tbh a little bit outside my wheelhouse but Lance Fortnow had a proof showing that all the implementations of quantum computing could be modelled using a Quantum Turing machine and are more complex forms of probabalistic automata. It’s technically not, because a finite state machine can also be called a deterministic finite automata where a probabalistic automata is a Nondeterministic finite automata.

So no… But also mostly the same principle just with fuzzy logic.