We have qantization method, which is based on Feynman path integral rule. Amplitudes of particles 'were defined by using both propagators and Gaussian slits. According to that calculating method, we attempted to rewrite the classical AND, OR and NOT gate into quantum expressions named as q-AND, q-OR and q-NOT. Those classical switches were quantized as operators, and general Hamiltonian of switch system were given for basic gates. Logic of switch operators was different from theory of crisp numbers or fuzzy set theory. We showed that the logic ofq-switches satisfies with excluded middle, however, the law of contradictoin does not hold true. We showed the new-conduction ofaxon was described as polariton.
