Towards a minimal example of quantum nonlocality without inputs
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.
- C. Branciard, N. Gisin, and S. Pironio, Characterizing the nonlocal correlations created via entanglement swapping, Phys. Rev. Lett. 104, 170401 (2010).
- T. Fritz, Beyond Bell's theorem: correlation scenarios, New Journal of Physics 14, 103001 (2012).
- E. Wolfe, R. W. Spekkens, and T. Fritz, The inflation technique for causal inference with latent variables, Journal of Causal Inference 7 (2019).
- M. Weilenmann and R. Colbeck, Non-shannon inequalities in the entropy vector approach to causal structures, Quantum 2, 57 (2018).
- J. Henson, R. Lal, and M. F. Pusey, Theory-independent limits on correlations from generalized bayesian networks, New Journal of Physics 16, 113043 (2014).
- T. C. Fraser and E. Wolfe, Causal compatibility inequalities admitting quantum violations in the triangle structure, Phys. Rev. A 98, 022113 (2018).
- N. Gisin, Entanglement 25 years after quantum teleportation: Testing joint measurements in quantum networks, Entropy 21, 325 (2019).
- M.-O. Renou and S. Beigi, Nonlocality for generic networks, Phys. Rev. Lett. 128, 060401 (2022a).
- A. Pozas-Kerstjens, N. Gisin, and M.-O. Renou, Proofs of network quantum nonlocality aided by machine learning (2022a).
- M.-O. Renou and S. Beigi, Network nonlocality via rigidity of token counting and color matching, Physical Review A 105, 022408 (2022b).
- A. Restivo, D. Rosset, and N. Brunner, in preparation (2022).
- A. Pozas-Kerstjens, N. Gisin, and A. Tavakoli, Full network nonlocality, Phys. Rev. Lett. 128, 010403 (2022b).
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