Proposal for a new scheme for producing a two-photon, high dimensional hyperentangled state

TL;DR

This paper presents a practical scheme to generate high-dimensional hyperentangled photon states entangled in polarization, frequency, and spatial modes, enabling advanced quantum information processing and secure quantum communication.

Contribution

It introduces a feasible experimental method using parametric down-conversion and cross-Kerr nonlinearities to produce complex hyperentangled states without uncertain post-selection.

Findings

Scheme successfully generates $2\times4\times4$ hyperentangled states

Method can be extended to more photons and higher dimensions

Proposes a quantum key distribution protocol based on these states

Abstract

We propose an experimentally feasible scheme for generating a two $2\times4\times4$ dimensional photons hyperentangled state, entangled in polarization, frequency and spatial mode. This scheme is mainly based on a parametric down-conversion source and cross-Kerr nonlinearities, which avoids the complicated uncertain post-selection. Our method can be easily expanded to the production of hyperentangled states with more photons in multidimensions. Hence the expectation for vast quantities of information in quantum information processing will possibly come true. Finally, we put forward a realizable quantum key distribution (QKD) protocol based on the high dimensional hyperentangled state.