Nanotechnology-based magnetic field sensors operate on various principles. Magnetoresistive sensors, for instance, rely on the phenomenon of magnetoresistance, where the resistance of a material changes in the presence of a magnetic field. Quantum Tunneling is another principle used in some sensors, where electrons tunnel through a barrier that becomes more or less permeable in the presence of a magnetic field. These mechanisms, enhanced by nanotechnology, allow for highly sensitive and precise magnetic field detection.