Is high-dimensional photonic entanglement robust to noise?

TL;DR

This paper demonstrates that increasing the dimensionality of high-dimensional photonic entangled states enhances their noise robustness, significantly reducing the requirements for entanglement certification in noisy quantum communication systems.

Contribution

The authors develop an analytical theory and experimental validation showing that modest increases in Hilbert space size improve noise tolerance and reduce detection efficiency thresholds for high-dimensional entanglement.

Findings

Doubling Hilbert space size reduces detection efficiency thresholds by two orders of magnitude.

Knowledge of the signal-to-noise ratio links entanglement measures to experimental noise parameters.

High-dimensional entanglement's robustness depends on the interplay of noise characteristics, state, and detection system.

Abstract

High-dimensional entangled states are of significant interest in quantum science as they increase the information content per photon and can remain entangled in the presence of significant noise. We develop the analytical theory and show experimentally that the noise tolerance of high-dimensional entanglement can be significantly increased by modest increases to the size of the Hilbert space. For example, doubling the size of a Hilbert space with local dimension d=300 leads to a reduction of the threshold detector efficiencies required for entanglement certification by two orders of magnitude. This work is developed in the context of spatial entanglement, but it can easily be translated to photonic states entangled in different degrees of freedom. We also demonstrate that knowledge of a single parameter, the signal-to-noise ratio, precisely links measures of entanglement to a range of experimental parameters quantifying noise in a quantum communication system, enabling accurate predictions of its performance. This work serves to answer a simple question: "Is high-dimensional photonic entaglement robust to noise?". Here we show that the answer is more nuanced than a simple "yes" or "no" and involves a complex interplay between the noise characteristics of the state, channel, and detection system