Optical analogy to quantum Fourier transform based on pseudorandom phase ensemble

TL;DR

This paper presents an optical analogy to quantum Fourier transform using pseudorandom phase ensembles, achieving exponential speedup over classical methods and simulating three quantum particles with classical fields.

Contribution

It introduces a novel optical analogy to quantum Fourier transform based on pseudorandom phases, demonstrating potential for faster classical Fourier computations.

Findings

Optical analogy achieves exponential speedup over classical Fourier transform

Three classical fields simulate three quantum particles in Fourier transform

Pseudorandom phase ensemble enables quantum-like behavior in optics

Abstract

In this paper, we introduce an optical analogy to quantum Fourier tanformation based on a pseudorandom phase ensemble. The optical analogy also brings about exponential speedup over classical Fourier tanformation. Using the analogy, we demonstrate three classcial fields to realize Fourier transform similar to three quantum particles.