Bell nonlocality in networks

Abstract

Bell's theorem proves that quantum theory is inconsistent with local physical models. It has propelled research in the foundations of quantum theory and quantum information science. As a fundamental feature of quantum theory, it impacts predictions far beyond the traditional scenario of the Einstein-Podolsky-Rosen paradox. In the last decade, the investigation of nonlocality has moved beyond Bell's theorem to consider more sophisticated experiments that involve several independent sources which distribute shares of physical systems among many parties in a network. Network scenarios, and the nonlocal correlations that they give rise to, lead to phenomena that have no counterpart in traditional Bell experiments, thus presenting a formidable conceptual and practical challenge. This review discusses the main concepts, methods, results and future challenges in the emerging topic of Bell nonlocality in networks.

Review paper. 42 pages, 13 figures. Comments welcome! AT and APK contributed equally. V3: Updated to match published version, updated references

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• Full network nonlocality
• Entanglement swapping and quantum correlations via Elegant Joint Measurements
• Quantum networks self-test all entangled states
• Proofs of network quantum nonlocality in continuous families of distributions
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