Complete analysis of hyperentangled Bell state in three degrees of freedom using Kerr effect and self-assisted mechanism

TL;DR

This paper proposes a practical scheme for complete hyperentangled Bell state analysis across three degrees of freedom using Kerr effect and self-assisted mechanisms, enabling advanced quantum communication.

Contribution

It introduces a novel, feasible method for full hyperentangled Bell state analysis in three degrees of freedom utilizing weak cross-Kerr nonlinearity and self-assisted mechanisms.

Findings

Achieves complete analysis of 64 hyperentangled Bell states.

Demonstrates potential for high-capacity quantum communication.

Scheme is simple and experimentally realizable.

Abstract

We present an efficient scheme for the complete hyperentangled Bell state analysis (HBSA) of photon system with polarization and two longitudinal momentum degrees of freedom (DOFs), resorting to weak cross-Kerr nonlinearity, linear optical elements and single photon detectors. In the process of distinguishing the 64 hyperentangled Bell states in three DOFs, the self-assisted mechanism is embedded, which makes our scheme simple and realizable. Moreover, we have discussed the applications of this complete HBSA scheme for high-capacity quantum communication protocols that are based on photonic hyperentanglement in three DOFs.