2012/06/30 by Mateus Araújo, Marco Túlio Quintino, Costantino Budroni +2 · 1 citation
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.1103/physreva.88.022118
published as Phys. Rev. A 88, 022118 (2013) · 5+3 pages, 4 figures, 11 countries. v3: Published version
arxiv created 2013/09/02 · arxiv updated 2013/09/09
The problem of separating classical from quantum correlations is in general intractable and has been solved explicitly only in few cases. In particular, known methods cannot provide general solutions for an arbitrary number of settings. We provide the complete characterization of the classical correlations and the corresponding maximal quantum violations for the case of n >= 4 observables X0, ...,Xn-1, where each consecutive pair Xi,Xi+1, sum modulo n, is jointly measurable. This generalizes both the Clauser-Horne-Shimony-Holt and the Klyachko-Can-Binicioglu-Shumovsky scenarios, which are the simplest ones for, respectively, locality and noncontextuality. In addition, we provide explicit quantum states and settings with maximal quantum violation and minimal quantum dimension.