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It is proposed the concepts and principals of operating of basic nonlinear elements for hybrid opto–superconducting convolutional neural network. Optical elements in computing systems are usually designed to produce only linear mathematical operations. This is insufficient for complete neural network realization on chip, where non-linear operations like activation function calculations in neuron or transfer function of rectifier linear unit are needed. We have shown the opportunity of realization of elemental base for the hybrid neural network consists of optical and superconducting parts.