Demonstration of Tunable and Reconfigurable All-Optical Matrix-Vector Multiplication Using Nonlinear Wave Mixing

We experimentally demonstrate an all-optical matrix-vector multiplication approach for encoded analog data using nonlinear wave mixing. We show the multiplication of matrices ($m \times 4$) with vectors $(4 \times 1)$ at 3 and $5 \mathrm{GSa} / \mathrm{s}$ with $\sim 5$ bit precision.