All-optical logic circuits based on polarization properties of nondegenerate four-wave mixing

All-optical logic circuits based on the polarization properties of nondegen erate four-wave mixing are proposed. Schemes to perform multiple triple-pro duct logic functions are discussed, and it is shown that higher-level Boole an operations that involve several bits can be implemented without resortin g to the standard two-input gates. As a simple illustration of the idea, a circuit that performs error correction on a (3,1) Hamming code is demonstra ted. Error-free performance (bit error rate of <10(-9)) at 2.5 Gbit/s is ac hieved after single-error correction on the Hamming word with 50% errors. < (c)> 2001 Optical Society of America.