Experimental 11-dimensional secret sharing with Perfect Vortex beams

TL;DR

This paper demonstrates a scalable, high-dimensional quantum secret sharing scheme using Perfect Vortex beams, successfully implementing it for 10 participants in 11 dimensions and highlighting its potential for larger systems.

Contribution

It presents the first experimental realization of an 11-dimensional single photon quantum secret sharing scheme using Perfect Vortex beams, showcasing scalability.

Findings

Successful implementation for 10 participants in 11 dimensions

Scalable to higher dimensions and more participants

Utilizes high-dimensional Hilbert space with Perfect Vortex beams

Abstract

Secret sharing is the art of securely sharing information between more than two people in such a way that its reconstruction requires the collaboration of a certain number of parties. Entanglement-based secret sharing schemes which utilise multi-particle entanglement are limited by their scalability. Recently, a high-dimensional single photon secret sharing protocol was proposed which has impressive advantages in scalability. However, the experimental realisation of this protocol remains elusive. Here, by taking advantage of the high-dimensional Hilbert space for orbital angular momentum and using Perfect Vortex beams as their carriers, we present a proof-of-principle implementation of a high-dimensional single photon quantum secret sharing scheme. We experimentally implemented this scheme for 10 participants in $d=11$ dimensions and show how it can be easily scaled to higher dimensions and any number of participants.