Network Nonlocality with Separable Measurements

TL;DR

This paper demonstrates that full network nonlocality can be achieved using separable measurements with classical feedforward, removing the need for entangled measurements and enabling more practical experimental tests.

Contribution

It introduces a strategy for achieving full network nonlocality without entangled measurements, expanding the understanding of measurement roles in quantum networks.

Findings

Achieved full network nonlocality with separable measurements and classical feedforward.

Showed that the same measurements can produce minimal network nonclassicality.

Quantified device-independent randomness from network correlations.

Abstract

Quantum correlations in networks with independent sources have revealed novel forms of nonclassical behavior. While entanglement in the sources is a necessary ingredient, the role played by entanglement in the measurements remains largely unexplored. In particular, all existing demonstrations of full network nonlocality, certifying the nonclassicality of every source in the network, have relied on entangled measurements performed at a central node with no inputs. In this work, we construct an explicit strategy that does not rely on entangled measurements, yet still achieves full network nonlocality. Our approach is based on separable measurements augmented with bidirectional classical feedforward. We further show that this same class of measurements can give rise to another recently proposed form of network nonlocality, the minimal network nonclassicality, which ensures that the observed correlations cannot be attributed to any fixed subset of nonclassical sources within the network. Finally, building on a recently developed certification framework, we quantify the amount of device-independent randomness that can be extracted from full network nonlocal correlations under different measurement strategies. Beyond their foundational significance, our results also offer a practically attractive route toward experimental implementations of network nonlocality, as they remove the need for entangled measurements.