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 the
Faraday rotation effect with the classical three–polarizer paradox. By dynamically rotating
the polarization plane of light between two crossed polarizers, the system enables magnetic
control of logical states, supporting AND, OR, NOT and multi–level logic operations. The
approach suggests new pathways toward magneto–optical logic, optical memory elements, and
programmable photonic/quantum circuits.