Multipartite Nonlocality in Clifford Networks

TL;DR

This paper classifies quantum network nonlocality using a resource-theoretic approach, revealing how operational constraints and types of stabilizer states influence the emergence of nonlocal correlations.

Contribution

It introduces a framework to analyze quantum network nonlocality based on local Clifford operations and stabilizer states, highlighting conditions for nonlocality to arise.

Findings

Quantum nonlocality cannot emerge with local Clifford gates on pure stabilizer states.

Allowing mixed stabilizer states enables network nonlocality.

Bipartite entanglement with post-selection suffices for all forms of network nonlocality.

Abstract

We adopt a resource-theoretic framework to classify different types of quantum network nonlocality in terms of operational constraints placed on the network. One type of constraint limits the parties to perform local Clifford gates on pure stabilizer states, and we show that quantum network nonlocality cannot emerge in this setting. Yet, if the constraint is relaxed to allow for mixed stabilizer states, then network nonlocality can indeed be obtained. We additionally show that bipartite entanglement is sufficient for generating all forms of quantum network nonlocality when allowing for post-selection, a property analogous to the universality of bipartite entanglement for generating all forms of multipartite entangled states.