Implementation of Shor's Algorithm with a Single Photon in 32 Dimensions

TL;DR

This paper demonstrates encoding information in 32 dimensions of a single photon and implements a compiled version of Shor's algorithm, showcasing high-dimensional quantum information processing capabilities.

Contribution

First experimental realization of high-dimensional encoding and manipulation of a single photon to implement Shor's algorithm.

Findings

Successfully encoded 32 dimensions in a single photon

Implemented a compiled version of Shor's algorithm

Showcased the potential of high-dimensional quantum systems

Abstract

Photonics has been a promising platform for implementing quantum technologies owing to its scalability and robustness. In this Letter, we demonstrate the encoding of information in 32 time bins or dimensions of a single photon. A practical scheme for manipulating the single photon in high dimensions is experimentally realized to implement a compiled version of Shor's algorithm on a single photon. Our work demonstrates the powerful information processing capacity of a high-dimensional quantum system for complex quantum information tasks.