Correlations in star networks: from Bell inequalities to network inequalities

DOI10.1088/1367-2630/aa7673zbMath1516.81020arXiv1702.03866MaRDI QIDQ6156855

Nicolas Gisin, Marc-Olivier Renou, Armin Tavakoli, Nicolas Brunner

Publication date: 19 June 2023

Published in: New Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.03866

Mathematics Subject Classification ID

Quantum computation (81P68) Quantum measurement theory, state operations, state preparations (81P15) Quantum coherence, entanglement, quantum correlations (81P40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum state estimation, approximate cloning (81P50)

Related Items (10)

Nonlocality of a type of multi-star-shaped quantum networks ⋮ Note on product-form monogamy relations for nonlocality and other correlation measures ⋮ Optimal Quantum Violations of n‐Locality Inequalities with Conditional Dependence on Inputs ⋮ Characterizations of bilocality and \(n\)-locality of correlation tensors ⋮ Generalized n‐Locality Inequalities in Linear‐Chain Network for Arbitrary Inputs Scenario and Their Quantum Violations ⋮ Quantum locality of \(N\) entangled states ⋮ Star network quantum steering ⋮ Maximal qubit violation of n-locality inequalities in a star-shaped quantum network ⋮ A Bell inequality for a class of multilocal ring networks ⋮ Restricted distribution of quantum correlations in bilocal network

Cites Work

• Violating Bell inequality by mixed spin-\(\frac 12\) states: necessary and sufficient condition
• Polynomial Bell Inequalities
• Nonlinear Bell Inequalities Tailored for Quantum Networks
• Quantum correlations in connected multipartite Bell experiments
• Theory-independent limits on correlations from generalized Bayesian networks
• The lesson of causal discovery algorithms for quantum correlations: causal explanations of Bell-inequality violations require fine-tuning
• Bell Inequalities: Many Questions, a Few Answers
• Beyond Bell's theorem: correlation scenarios
• Proposed Experiment to Test Local Hidden-Variable Theories
• A framework for the study of symmetric full-correlation Bell-like inequalities

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