Ieline Ahmed

We propose a characteristic–function approach to Bell inequalities implemented with interferometric multiport measurements. By encoding d-valued outcomes as roots of unity, Bell functionals become linear combinations of Fourier correlators. This unified scheme reproduces CHSH, CGLMP, and MABK inequalities, and systematically generates new ones in higher-dimensional and multi setting scenarios. Optimizing over entangled states and multiport phase shifts provides explicit quantum strategies. Our framework thus offers a compact, experimentally natural route to Bell tests beyond the standard families.