ИСТИНА

We describe a new scheme for teleportation of entangled optical images. This scheme is based on a four-partite state generated in the coupled para- metric interactions consisting of one down- and two up-conversion processes: \omega_p = \omega_1 + \omega_2; \omega_p + \omega_1 = \omega_3; \omega_p + \omega_2 = \omega_4; (1) where !p is the frequency of the pumping wave, !j are the frequencies of the generated waves. Such processes can be realized in an aperiodic nonlinear photonic crystal (ANPC), are made of, for example, LiNbO3 [1]. Since the interaction Hamiltonian of a single up-conversion process is alike with the Hamiltonian of a beam-splitter the up-conversion processes in (1) mix modes at low-frequencies (frequencies \omega_1 and \omega_2) with modes at high-frequencies (frequencies \omega_3 and \omega_4) in the way a beam-splitter does. Therefore, being originated in the parametric down-conversion process en- tanglement from modes of frequencies \omega_1 and \omega_2 is partially converted to modes of frequencies \omega_3 and \omega_4. As a result at the output of the ANPC there are two entangled states. This fact allows one to employ the states for the teleportation of a two-partite entangled system. The teleportation of continuous variable entangled states for monochro- matic waves employing these processes has been described in [2]. In present work we describe the processes in application to the teleportation of entan- gled images. To characterize the quality of the teleportation scheme we have calculated fdelity of the teleportation and compared the nonclassity of the input and the output images. We have also found an optimal matching for the spectral bandwidths of the input images and the four-partite felds. [1] A.S. Chirkin, I.V. Shutov, Pis'ma Zh. Eksp. Teor. Fiz., v. 86, p. 693 (2007). [2] A.S. Chirkin, M.Yu. Saygin, Physics Scripta, T135, 014029 (2009).