Unexpected consequences of Post-Quantum theories in the graph-theoretical approach to correlations
Abstract
This work explores the implications of the exclusivity principle (EP) in the context of quantum and postquantum correlations. We first establish a key technical result demonstrating that given the set of correlations for a complementary experiment, the EP restricts the maximum set of correlations for the original experiment to the antiblocking set. Based on it, we can prove our central result: if all quantum behaviors are accessible in Nature, the EP guarantees that no postquantum behaviors can be realized. This can be seen as a generalization of the result of B. Amaral et al. [Phys. Rev. A 89, 030101(R) (2014)], to a wider range of scenarios. It also provides novel insights into the structure of quantum correlations and their limitations.
Keywords
Cite
@article{arxiv.2411.09036,
title = {Unexpected consequences of Post-Quantum theories in the graph-theoretical approach to correlations},
author = {José Nogueira and Carlos Vieira and Marcelo Terra Cunha},
journal= {arXiv preprint arXiv:2411.09036},
year = {2026}
}
Comments
5 pages