Multi-mode cross-Kerr interaction and three-qubit all-optical logic gates in a triple electromagnetically induced transparency system
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We investigate the nonlinear interaction of weak optical fields in triple electromagnetically induced transparency (EIT) where EIT is induced simultaneously for three weak slow light pulses. Different kinds of nonlinear interaction including two-mode cross-Kerr interaction, three-mode cross-Kerr interaction, high order two-mode cross-Kerr interaction and hybrid high order two-mode cross-Kerr interaction can be obtained under certain conditions. These nonlinear interactions have promise for a realistic scheme of photon logic gates necessary for practical implementation of quantum information processing.