Multiqudit quantum hashing and its implementation based on orbital angular momentum encoding

TL;DR

This paper introduces a high-dimensional quantum hashing method using orbital angular momentum encoding of single photons, demonstrating improved efficiency with increased qudit dimension and providing a proof-of-principle implementation.

Contribution

The paper develops a novel high-dimensional quantum hashing protocol based on orbital angular momentum encoding and experimentally demonstrates its advantages.

Findings

Number of qudits decreases as their dimension increases.

Higher dimension improves quantum hashing efficiency.

Proof-of-principle implementation confirms theoretical predictions.

Abstract

A new version of quantum hashing technique is developed wherein a quantum hash is constructed as a sequence of single-photon high-dimensional states (qudits). A proof-of-principle implementation of the high-dimensional quantum hashing protocol using orbital-angular momentum encoding of single photons is implemented. It is shown that the number of qudits decreases with increase of their dimension for an optimal ratio between collision probability and decoding probability of the hash. Thus, increasing dimension of information carriers makes quantum hashing with single photons more efficient.