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Genuine quantum nonlocality in the triangle network
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Genuine quantum nonlocality in the triangle network
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Quantum networks allow in principle for completely novel forms of quantum correlations. In particular, quantum nonlocality can be demonstrated here without the need of having various input settings, but only by considering the joint statistics of fixed local measurement outputs. However, previous examples of this intriguing phenomenon all appear to stem directly from the usual form of quantum nonlocality, namely via the violation of a standard Bell inequality. Here we present novel examples of 'quantum nonlocality without inputs', which we believe represent a new form of quantum nonlocality, genuine to networks. Our simplest examples, for the triangle network, involve both entangled states and joint entangled measurements. A generalization to any odd-cycle network is also presented. Finally, we conclude with some open questions.
Forward citations
Cited by 2 Pith papers
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The minimal example of quantum network Bell nonlocality
Quantum nonlocality is possible in the triangle network with no inputs and binary outputs, which is the smallest such scenario by number of variables and outcomes.
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Local models and Bell inequalities for the minimal triangle network
Exhaustive search yields conjectured tight Bell inequalities defining the local set for symmetric binary-outcome triangle networks, together with outer approximations used to probe the classical-quantum gap.
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