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 and . 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.
Keywords
Cite
@article{arxiv.2207.08532,
title = {Towards a minimal example of quantum nonlocality without inputs},
author = {Sadra Boreiri and Antoine Girardin and Bora Ulu and Patryk Lypka-Bartosik and Nicolas Brunner and Pavel Sekatski},
journal= {arXiv preprint arXiv:2207.08532},
year = {2024}
}
Comments
In the initial version of our manuscript, we discovered a mistake in the proof of Theorem 2. Consequently, in the updated version, Theorem 2 has been revised. Furthermore, in Appendix C, we include an updated proof applicable to a broader range of entangled states