Retrieving High-Dimensional Quantum Steering From a Noisy Environment with N Measurement Settings

TL;DR

This paper experimentally demonstrates high-dimensional quantum steering with multiple measurement settings, revealing stronger correlations and improved noise robustness, which advances practical quantum information processing in noisy environments.

Contribution

It introduces an n-setting linear high-dimensional quantum steering criterion and shows how increasing measurement settings enhances noise robustness without increasing dimension.

Findings

Achieved a violation of 2.24 in 11 dimensions, surpassing 2-setting bounds.

Retrieved steering nonlocality with over 63% noise tolerance.

Demonstrated robustness against noise and loss in high-dimensional quantum systems.

Abstract

One of the most often implied benefits of high-dimensional (HD) quantum systems is to lead to stronger forms of correlations, featuring increased robustness to noise. Here, we experimentally demonstrate the $n$-setting linear HD quantum steering criterion. We verify the large violation of the steering inequalities without full-state tomography. The lower bound of the violation is $2.24\pm0.01$ in 11 dimensions, exceeding the bound ($V<2$) of 2-setting criteria. Hence, a higher strength of steering has been revealed. Moreover, we demonstrate the method for enhancing the noise robustness without increasing dimension, alternatively, by increasing measurement settings. Using the entanglement in 11 dimensions, we experimentally retrieve steering nonlocality with $63.4\pm1.4\%$ isotropic noise fraction, surpassing the $50\%$ limitation of 2-setting criteria. Our work offers the potential for practical one-sided device-independent quantum information processing that tolerates the noisy environment, lossy detection, and transcends the present transmission distance limitation.