Fig. 6.

Spin-3/2 rotation and quantum correlations sets in the $c_2$-$s_3$ plane projection illustrating ${\mathcal{Q}}_{3/2}⊊{\mathcal{R}}_{3/2}$. The inequality corresponds to the case that saturates Theorem 7, i.e., $c_2+s_3=1/\sqrt{3}$. The boundary of the 2D projections for the sets ${\mathcal{Q}}_{3/2}$ (blue) and ${\mathcal{R}}_{3/2}$ (green) have been numerically obtained using the SDP methodology presented in Appendix D. The quantum inequality (red line) and validity of the rotation box (red dot) $P^{\star }\in {\mathcal{R}}_{3/2}$ but $P^{\star }\notin {\mathcal{Q}}_{3/2}$ are analytically proven in the main text