Entanglement detection by violations of noisy uncertainty relations: A proof of principle
Yuan-Yuan Zhao, Guo-Yong Xiang, Xiao-Min Hu, Bi-Heng Liu, Chuan-Feng, Li, Guang-Can Guo, Ren\'e Schwonnek, Ramona Wolf

TL;DR
This paper demonstrates an experimental approach to detect entanglement using noisy uncertainty relations, employing new computational methods and noise-adapted witnesses to improve detection in noisy environments.
Contribution
It introduces a novel experimental implementation of uncertainty-based entanglement witnesses that are robust against strong local noise using advanced computational techniques.
Findings
Successful detection of entanglement in noisy regimes
Effective noise-adapted entanglement witnesses
Enhanced entanglement detection efficiency
Abstract
It is well-known that the violation of a local uncertainty relation can be used as an indicator for the presence of entanglement. Unfortunately, the practical use of these non-linear witnesses has been limited to few special cases in the past. However, new methods for computing uncertainty bounds became available. Here we report on an experimental implementation of uncertainty-based entanglement witnesses, benchmarked in a regime dominated by strong local noise. We combine the new computational method with a local noise tomography in order to design noise-adapted entanglement witnesses. This proof-of-principle experiment shows that quantum noise can be successfully handled by a fully quantum model in order to enhance entanglement detection efficiencies.
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