CONTROLLED NOT GATE BASED ON A TWO-LAYER SYSTEM OF THE FRACTIONAL QUANTUM HALL EFFECT

After a coordinate transformation, the wavefunction of the ground state of the fractional Quantum Hall Effect is found to be the congregation of free independent particles immune to thermal phonon disturbance. Based on the pseudo-spin states appearing in the two layer system of fractional Quantum Hall Effect, we propose a new controlled NOT gate with very large decoherence time.