“…On the other hand, nanostructures such as quantum dots (QDs) have been obtained remarkable progress in modern nano-science and nano-technology in recent years 14 . QD, consiered as a simple stationary “artificial atom” with well optical property 15 , lays the foundation for numerous potential applications 16 , where the significant applications including entanglement concentration, logic gate construction and entangled state preparation with optical Kerr nonlinear effect have drawn widespread attention 14 , 17 , 18 . The optical Kerr nonlinear effect manifested by the third-order optical Kerr nonlinearity of QD, which is essential for light-controlled phase and refractive index modulation in various fields such as optical telecommunications, optical data storage, and information processing 14 , 19 .…”