The present invention relates to the all-optical logic AND operation in a SOA (semiconductor optical amplifier)-based Mach-Zehnder interferometer. More particularly, it relates to the technology making feasible ultra high-speed logic operations while maintaining a small size and a low input power by utilizing a cross-phase modulation (XPM) wavelength converter composed of semiconductor optical amplifiers in the form of a Mach-Zehnder interferometer with nonlinear characteristics.