2- Universidade Federal de Pernambuco

Abstract. By embedding the boolean space Z2 as an orthonormal basis in a vec-tor space we can treat the RAM based neuron as a matrix (operator) acting on the vector space. We show how this model (inspired by our research on quantum neu-ral networks) is of sufficient generality as to have classical weighted (perceptron-like), classical weightless (RAM-based, PLN, etc), quantum weighted and quantum weightless neural models as particular cases. It is also indicated how one could use it to polynomially solve 3-SAT and briefly mention how could one train this novel model.