Certifying nonlocality from separable marginals
arXiv:1402.3992 · doi:10.1103/PhysRevA.89.012115
Abstract
Imagine three parties, Alice, Bob, and Charlie, who share a state of three qubits such that all two-party reduced states A-B,A-C, and B-C are separable. Suppose that they have information only about these marginals but not about the global state. According to recent results, there exists an example for a set of three separable two-party reduced states that is only compatible with an entangled global state. In this paper, we show a stronger result, by exhibiting separable two-party reduced states A-B, A-C, and B-C, such that any global state compatible with these marginals is nonlocal. Hence, we obtain that nonlocality of multipartite states can be certified from information only about separable marginals.
5 pages
References in corpus (10)
- Entanglement detection
- Spin squeezing and entanglement
- An operational framework for nonlocality
- Testing the Structure of Multipartite Entanglement with Bell Inequalities
- Quantum nonlocality does not imply entanglement distillability
- Semi-device-independent bounds on entanglement
- Non-classicality thresholds for multiqubit states - numerical analysis
- Useful multipartite correlations from useless reduced states
- Bipartite states of low rank are almost surely entangled
- Incompatible local hidden-variable models of quantum correlations
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