  We consider a model of an artificial neural network based on
quantum-mechanical particles in $W$ potential. These particles play the role of
neurons in our model. To simulate such a quantum-mechanical system the
Monte-Carlo integration method is used. A form of the self-potential of a
particle as well as two interaction potentials (exciting and inhibiting) are
proposed. Examples of simplest logical elements (such as AND, OR and NOT) are
shown. Further we show an implementation of the simplest convolutional network
in framework of our model.
