ABSTRACT

This chapter proposes a formulation of propositional logic, named Eigenlogic, using quantum observables as propositions. The eigenvalues of these operators are the truth-values and the associated eigenvectors the interpretations of the propositional system. This approach is then applied in the context of quantum robots using simple behavioral agents represented by Braitenberg vehicles. Processing with non-classical logic such as multivalued logic, fuzzy logic and the quantum Eigenlogic permit to enlarge the behavior possibilities and the associated decisions of these simple agents. Valentino Braitenberg was a Cyberneticist and former director at the Max Planck Institute for Biological Cybernetics in Tubingen. A Braitenberg vehicle is an agent that can autonomously move around based on its light sensor inputs. Depending on the sensor-motor wiring, it appears to achieve certain situations and to avoid others, changing course when situation changes. The internal emotional state could be described now by a quantum circuit built from counterparts of fuzzy operators.