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Towards a minimal example of quantum nonlocality without inputs
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abstract
The network scenario offers interesting new perspectives on the phenomenon of quantum nonlocality. Notably, when considering networks with independent sources, it is possible to demonstrate quantum nonlocality without the need for measurements inputs, i.e. with all parties performing a fixed quantum measurement. Here we aim to find minimal examples of this effect. Focusing on the minimal case of the triangle network, we present examples involving output cardinalities of $3-3-3$ and $3-3-2$. Finally, we discuss the prospects of finding an example of quantum nonlocality in the triangle network with binary outputs, and point out a connection to the Lovasz local lemma.
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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