Nonlocality of All Quantum Networks

Abstract

The multipartite correlations derived from local measurements on some composite quantum systems are inconsistent with those reproduced classically. This inconsistency is known as quantum nonlocality and shows a milestone in the foundations of quantum theory. Still, it is NP hard to decide a nonlocal quantum state. We investigate an extended question: how to characterize the nonlocal properties of quantum states that are distributed and measured in networks. We first prove the generic tripartite nonlocality of chain-shaped quantum networks using semiquantum nonlocal games. We then introduce a new approach to prove the generic activated nonlocality as a result of entanglement swapping for all bipartite entangled states. The result is further applied to show the multipartite nonlocality and activated nonlocality for all nontrivial quantum networks consisting of any entangled states. Our results provide the nonlocality witnesses and quantum superiorities of all connected quantum networks or nontrivial hybrid networks in contrast to classical networks.

arXiv comment26 pages,3+8 figures

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Cited by in corpus (9)

• Bell nonlocality in networks
• Genuine multipartite nonlocality is intrinsic to quantum networks
• Device-independent detection of genuine multipartite entanglement for all pure states
• Regarding the Maximal Qubit Violations of n-Locality in Star and Chain Networks
• Certification of Genuine Multipartite Entanglement with General and Robust Device-independent Witnesses
• Post-quantum nonlocality in the minimal triangle scenario
• Quantum Strategies for Rendezvous and Domination Tasks on Graphs with Mobile Agents
• Trade-off relation among genuine three-qubit nonlocalities in four-qubit systems
• Exploring Bell nonlocality of quantum networks with stabilizing and logical operators