An important aspect of modern materials science is discussed, specifically, the possibility of combining inorganic nanoparticles and liquid crystals in composites. These systems make it possible to combine the liquid-crystal properties of a matrix with the luminescent properties of quantum dots. A five-component mixture consisting mainly of 4-cyanobiphenyl derivatives has been used as a matrix. Substitution of derivatives of organic acids for ligands formed during the synthesis of quantum dots is demonstrated. Chiralization of a nematic matrix and the possibility of introducing quantum dots into it are demonstrated by the example of two new optically active ligands.