Equation Chapter 1 Section 1 Distillation of Two-Photon Entanglement by Anisotropic Metamaterial

Abstract

By using the Green-function approach to the quantization of the electromagnetic field, the procrustean distillation for quantum entanglement by the anisotropic magnetodielectric metamaterial has been proposed. We study the distillation of the non-maximally entangled pure states by a single layer of the anisotropic magnetodielectric metamaterial. The Clauser-Horne-Shimony-Holt parameter S for the entangled pure state has been calculated theoretically. It is shown that near the resonant peak of transmission for the y-polarized photon, the parameter S for the output states get the maximal value. Near the resonant peak of the transmission for the x-polarized photon, the entanglement of the output state is lower than the input state. For the frequency far from the resonant peak, the entanglement of the output state is dependent on the input state. Finally we find that the maximally entangled output is always appearing near the resonant frequency of the transmission for the y-polarized photon, no matter how low the entanglement of the input state is. This means that our method to realize the quantum distillation is effective.