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,　John　Wiley　and　Sons　Inc.　All　rights　reserved.