Eigenlogic: Interpretable Quantum Observables with applications to Fuzzy Behavior of Vehicular Robots
This work provides an incremental approach for improving the interpretability and behavioral flexibility of quantum robots, specifically targeting applications in autonomous vehicle control.
The paper tackles the problem of representing propositional logic using quantum observables, where eigenvalues serve as truth values and eigenvectors as interpretations, and applies this Eigenlogic to enhance the decision-making of simple vehicular robots by enabling fuzzy and multivalued logic behaviors.
This work 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. Fuzzy logic arises naturally when considering vectors outside the eigensystem, the fuzzy membership function is obtained by the Born rule of the logical observable.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 permits to enlarge the behavior possibilities and the associated decisions of these simple agents.