We present a family of Bell inequalities for three parties and arbitrarily many outcomes, which can be seen as a natural generalization of the Mermin-Bell inequality. For a small number of outcomes, we verify that our inequalities define facets of the polytope of local correlations. We investigate the quantum violations of these inequalities, in particular with respect to the Hilbert space dimension. We provide strong evidence that the maximal quantum violation can be reached only using systems with local Hilbert space dimension exceeding the number of measurement outcomes. This suggests that our inequalities can be used as multipartite dimension witnesses.

This study quantifies the annual energy-related retrofit rate of the Geneva building stock (1.7%), based on data concerning the delivered construction permits over the 2010 – 2018 period. By cross-cutting with final energy demand before and after retrofit, we derive an energy-efficient retrofit rate (0.6% for an improvement of 1 class at least, 0.2% for 2 classes at least). Results are analysed as a function of the construction period, as well as of the energy demand before retrofit.