Multipartite Nonlocality in Clifford Networks

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.

5+6 pages, 2 figures, 1 table; discussion about a unifying framework for the study of network nonlocality was added; updated version to match journal publication

References in corpus (7)

• Beyond Bell's Theorem: Correlation Scenarios
• Bell nonlocality in networks
• Fast simulation of stabilizer circuits using a graph state representation
• Full network nonlocality
• Proofs of network quantum nonlocality in continuous families of distributions
• Maximum nonlocality and minimum uncertainty using magic states
• Network Nonlocality via Rigidity of Token-Counting and Color-Matching

Cited by in corpus (2)

• Regarding the Maximal Qubit Violations of n-Locality in Star and Chain Networks
• Symmetric Localizable Multipartite Quantum Measurements from Pauli Orbits