Description
For years, an answer to the question of whether the triangle network with no inputs and binary outcomes supports quantum network nonlocality has remained elusive. By post-processing known higher-outcome quantum nonlocal distributions, quantum nonlocality was found when two of the parties have ternary outcomes. In addition to this, it is known that this scenario admits PR-box-type correlations. Yet, all efforts to prove, either, that all quantum realizations admit an alternative classical one, or that quantum nonlocality exists, have not fulfilled their goal.
In this talk I will give the first demonstration of a quantum nonlocal distribution in the no-input-two-outcome triangle network, thus demonstrating the existence of quantum advantage in the scenario. In order to find it, it was necessary to combine a recent complete characterization of the corresponding local set [arXiv:2503.16654] and novel methods of exploring the set of quantum realizations in networks, based on higher-order quantum transformations.
