An optical processor for matrix-by-vector multiplication: an application to the distance geometry problem in 1D

Abstract

Abstract We present the architecture of a new optical processor specialized in matrix-by-vector multiplication via the manipulation of the light wavefront. This processor can reach up to 1.2 Giga MAC (multiply-accumulate) operations per second using commercially available devices. Moreover, this architecture is compatible with a hardware upgrade with the potential to achieve a processing speed of above Tera MAC per second. We initially present the optical processor and then discuss the use of such a processor for tackling a special class of the one-dimensional distance geometry problem, which is a well-known NP-hard problem.