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This work proposes a formulation of propositional logic, named Eigenlogic,using quantum observables as propositions. The eigenvalues of these operatorsare the truth-values and the associated eigenvectors the interpretations of thepropositional system. Fuzzy logic arises naturally when considering vectorsoutside the eigensystem, the fuzzy membership function is obtained by the Bornrule of the logical observable.This approach is then applied in the context ofquantum robots using simple behavioral agents represented by Braitenbergvehicles. Processing with non-classical logic such as multivalued logic, fuzzylogic and the quantum Eigenlogic permits to enlarge the behavior possibilitiesand the associated decisions of these simple agents.

Eigenlogic: Interpretable Quantum Observables with applications to Fuzzy Behavior of Vehicular Robots