Full network nonlocality

Abstract

Networks have advanced the study of nonlocality beyond Bell's theorem. Here, we introduce the concept of full network nonlocality, which describes correlations that necessitate all links in a network to distribute nonlocal resources. Showcasing that this notion is stronger than standard network nonlocality, we prove that the most well-known network Bell test does not witness full network nonlocality. In contrast, we demonstrate that its generalisation to star networks is capable of detecting full network nonlocality in quantum theory. More generally, we point out that established methods for analysing local and theory-independent correlations in networks can be combined in order to systematically deduce sufficient conditions for full network nonlocality in any network and input/output scenario. We demonstrate the usefulness of these methods by constructing polynomial witnesses of full network nonlocality for the bilocal scenario. Then, we show that these inequalities can be violated via quantum Elegant Joint Measurements.

arXiv comment5+6 pages, 2+2 figures. RevTeX 4.1. The computational appendix is available at https://www.github.com/apozas/fullnn V2: Updated to match published version

References in corpus (33)

• Random Numbers Certified by Bell's Theorem
• No Signalling and Quantum Key Distribution
• Satellite-relayed intercontinental quantum network
• Entanglement of two quantum memories via fibers over dozens of kilometres
• Characterizing the nonlocal correlations of particles that never interacted
• Experimental Nonlocality Proof of Quantum Teleportation and Entanglement Swapping
• Bilocal versus non-bilocal correlations in entanglement swapping experiments
• Beyond Bell's Theorem: Correlation Scenarios
• Quantum theory based on real numbers can be experimentally falsified
• Bell nonlocality in networks
• Genuine quantum nonlocality in the triangle network
• Theory-independent limits on correlations from generalised Bayesian networks
• Nonlocal correlations in the star-network configuration
• Entanglement and non-locality are different resources
• Sufficient conditions for three-particle entanglement and their tests in recent experiments
• The Inflation Technique for Causal Inference with Latent Variables
• Genuine Network Multipartite Entanglement
• Computationally Efficient Nonlinear Bell Inequalities for General Quantum Networks
• Entanglement 25 years after Quantum Teleportation: testing joint measurements in quantum networks
• All entangled pure quantum states violate the bilocality inequality
• Experimental demonstration of non-bilocal quantum correlations
• Maximal violation of n-locality inequalities in a star-shaped quantum network
• Bilocal Bell inequalities violated by the quantum Elegant Joint Measurement
• Experimental non-locality in a quantum network
• Constraints on nonlocality in networks from no-signaling and independence
• Quantum Inflation: A General Approach to Quantum Causal Compatibility
• Experimental demonstration of nonbilocality with truly independent sources and strict locality constraints
• Correlations in star networks: from Bell inequalities to network inequalities
• Quantum Correlations in Connected Multipartite Bell Experiments
• Demonstrating the power of quantum computers, certification of highly entangled measurements and scalable quantum nonlocality
• Experimental optimal orienteering via parallel and antiparallel spins
• Any Physical Theory of Nature Must Be Boundlessly Multipartite Nonlocal
• Revealing Quantum Advantage in a Quantum Network

Cited by in corpus (18)

• Bell nonlocality in networks
• Entanglement swapping and quantum correlations via Elegant Joint Measurements
• Proofs of network quantum nonlocality in continuous families of distributions
• Certification of non-classicality in all links of a photonic star network without assuming quantum mechanics
• Partial self-testing and randomness certification in the triangle network
• Towards a minimal example of quantum nonlocality without inputs
• Sharing nonlocality in quantum network by unbounded sequential observers
• Persistency of non-n-local correlations in noisy linear networks
• Sharing Quantum Nonlocality in Star Network Scenarios
• Inflation: a Python library for classical and quantum causal compatibility
• Regarding the Maximal Qubit Violations of n-Locality in Star and Chain Networks
• The inflation hierarchy and the polarization hierarchy are complete for the quantum bilocal scenario
• Witnessing Non-Classicality in a Simple Causal Structure with Three Observable Variables
• Generalized $n$-locality inequalities in linear-chain network for arbitrary inputs scenario and their quantum violations
• Characterizing arbitrary quantum networks in the noisy intermediate-scale quantum era
• Multipartite Nonlocality in Clifford Networks
• Multi-system measurements in generalized probabilistic theories and their role in information processing
• Genuine network quantum nonlocality and self-testing