Solvable mathematical model is suggested for tunnelling through quantum dot. The model is based on the theory of self-adjoint extensions of symmetric operators. The spin–orbit interaction is taken into account. The transmission coefficient is obtained. The result is compared with the case where spin–orbit interaction is absent.

Quantum imaging algorithm ismodified to reduce the complexity of the quantum circuit. Simplification was done by replacing nonlinear optical elements by linear elements which allow one to obtain conventional quantum entanglement operator. The obtained results show the expected efficiency of data transmission. Quantum error correction is used to improve the quality of image transmission. Modelling of image transmission with classic quantum computer interpreter is suggested.