Performing photonic nonlinear computations by linear operations in a high-dimensional space

Abstract As photonic linear computations are diverse and easy to realize while nonlinear relatively limited difficult, we propose a novel way perform by operations in high-dimensional space, which can achieve many functions different from existing optical methods. practical application, the arbitrary binary between two Boolean signals demonstrated implement programmable logic array. In experiment, programming matrix multiplier, execute fourteen with only one fixed operation. Then combined of half-adder comparator at 10 Gbit/s. Compared current methods, proposed scheme simplifies devices for computing. More importantly, realization assisted space transformation offers new solution digital computing enriches diversity