Finding optimal Bell inequalities using the cone-projection technique

Bell inequalities are relevant for many problems in quantum information science, but finding them particles is computationally hard. Recently, a feasible method called cone-projection technique has been developed to find all optimal under some constraints, which may be given by symmetry or other linear conditions. In this paper we extend work several directions. We use the generalize I4422 inequality three and so-called GYNI four particles. Additionally, that I3322 CHSH at same time. discuss obtained detail characterize their violation mechanics.