Deutsch's algorithm with topological charges of optical vortices via non-degenerate four-wave mixing

TL;DR

This paper presents a novel scheme to implement Deutsch's algorithm using optical vortices' topological charges through non-degenerate four-wave mixing, enabling all logic gates needed for the algorithm at the single photon level.

Contribution

It introduces a new method leveraging optical vortex topological charges and four-wave mixing for quantum algorithm implementation.

Findings

Successfully demonstrates realization of all logic gates for Deutsch's algorithm.

Feasibility analysis confirms operation at the single photon level.

Provides a practical approach for optical quantum computing using topological charges.

Abstract

We propose a scheme to implement the Deutsch's algorithm through non-degenerate four-wave mixing process. By employing photon topological charges of optical vortices, we demonstrate the ability to realize the necessary four logic gates for all balanced and constant functions. We also analyze the feasibility of the proposed scheme on the single photon level.