Magnetically Controlled Optical Logic Gates Based on the Faraday Effect and the Three–Polarizer Paradox

We propose and analyze a reconfigurable optical logic gate architecture that combines theFaraday rotation effect with the classical three–polarizer paradox. By dynamically rotatingthe polarization plane of light between two crossed polarizers, the system enables magneticcontrol of logical states, supporting AND, OR, NOT and multi–level logic operations. Theapproach suggests new pathways toward magneto–optical logic, optical memory elements, andprogrammable photonic/quantum circuits.