Multipartite Entanglement Analysis From Random Correlations

TL;DR

This paper demonstrates that random measurement correlations can reveal detailed multipartite entanglement information even under noisy, fluctuating conditions, enabling entanglement detection without precise measurement alignment.

Contribution

It introduces a method to analyze multipartite entanglement using random correlations, effective despite strong measurement fluctuations and noise.

Findings

Random correlations reveal entanglement structure.

Method witnesses genuine multipartite entanglement.

Effective under high noise and fluctuating reference frames.

Abstract

Quantum entanglement is usually revealed via a well aligned, carefully chosen set of measurements. Yet, under a number of experimental conditions, for example in communication within multiparty quantum networks, noise along the channels or fluctuating orientations of reference frames may ruin the quality of the distributed states. Here we show that even for strong fluctuations one can still gain detailed information about the state and its entanglement using random measurements. Correlations between all or subsets of the measurement outcomes and especially their distributions provide information about the entanglement structure of a state and also enable to witness genuine multipartite entanglement. As long as the rate of entanglement generation is sufficiently high, this method overcomes any type and strength of localized unitary noise.