Nonlocal correlations of a fully entangled qubit-qutrit Bell scenario

With the aim of understanding the role that entanglement plays in the generation of EPR correlations, in this paper we address the study of a Bell scenario involving qubit-qutrit entangled pairs with only two measurement options per side. The key feature of our setup is the proposition of two non-projective POVMs to describe the Bob's measurement operators, preserving orthogonal and projective measurements for Alice. Despite the eigenvalues of the CHSH operator indicate that the correlations generated cannot exceed the local bound, their eigenvectors are used to define two families of maximally entangled states (negativity one). A consequence of the above is that in this scenario entanglement can be fully understood in terms of local resources and shared randomness. This fact is used later to design, using techniques of convex geometry, a device that reproduces the correlations generated by these families of maximally entangled states for the considered setup.