B2-3 Quantum Neuron & Its Logic of Calculation

Abstract

We have been proposed the method of the neural network based on quantum theory (wave equation and path integrals) of polaritons, and made some relation's tools and descriptions for calculations for arbitrary neural circuits developed. The most important difference between the common (classical) neural network and quantum one existed in whether there were interferences between both systems. The quantum system had essentially many interference's relationships in its system, and so its probability was related to the probability amplitude, wave functions and propagators, which were commonly complex functions. On the other hand, the classical probability never contained any interferences since it had in the real number field. And concretely we showed how those quantum methods, whose system contained many interference, were applied to the Bayes' theory, entropy of information theory, and the two-step neural network of multi channels.