It is an urgent task to create reliable, cost-effective, simple in technology elements for performing quantum computing with qubits based on pairs of photons having entangled polarizations. The conditions of soliton formation in a liquid crystal (LC) layer for generation of a pair of photons in an entangled quantum state (biphotons) during quantum calculations are considered. The geometrical dimensions of the soliton generated by a pulse of optical radiation, its dynamics and stability are estimated. Besides, propagation of both extraordinary and ordinary rays in the nematic LC with different boundary conditions is calculated. The paper is a demonstration of using display technologies and science for new generation of optical processing tasks. From another side, quantum computing can be used also in images processing for the tasks of display picture rendering. © 2025 Elsevier B.V., All rights reserved.