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In this thesis we will work under the premises of the Cellular AutomataInterpretation of QM, by Gerard 't Hooft, according to whom particles evolvefollowing the rules of Cellular Automata (CA), a mathematical model consistingof discrete units that evolve following deterministic laws in discrete spaceand time. The states of a Cellular Automaton are, by definition, classical andthus deterministic and do not form superpositions.  Since it is not possible to know how to demonstrate the underlying classicaldeterministic structure and dynamics at the smallest microscopic scales atpresent, what we pursue in this thesis, besides summarizing the concept of theCellular Automaton Interpretation, is to show that quantum phenomena, inparticular superposition states, can arise in a deterministic model because ofthe limited precision of measurements. In order to do that, we follow the pathof a recent article by Elze, considering a triplet of Ising spins and theirdynamics in a CA context, which is possible to formalize using Pauli matricesand quantum mechanics operators. We will thus observe how the system will shiftfrom a triplet of Ising spins to a triplet of qubits due to the arising ofsuperposition after applying some perturbations on the Hamiltonian and thedynamics operators.

How perturbing a classical 3-spin chain can lead to quantum features