Quantum teleportation is a crucial resource in future quantum networks. It allows the transfer of quantum information unknown to two parties that share a quantum channel and a classical channel. It was proposed in 1993 [C. H. Bennet et al., PRL 70, 1895 (1992)] and first demonstrated experimentally in 1997 [D. Boschi et al., PRL 80, 1121 (1998); D. Bouwmeester et al., Nature 390, 575 (1997)]. From that time on many experiments have proved the quantum teleportation protocol under different circumstances: with information embedded in photons or/and atoms, in longer and longer distances. For teleporting the large amount of information embedded in spatial images one requires the use of multidimensional quantum teleportation. In general, these schemes are cumber- some to implement experimentally [Xi-LinWang et al., Nature Photonics 518, 516 (2015); Yi-Han Luo et al., PRL 123, 070505 (2019)], because it is difficult to implement Bell state analysers that can faithfully detect many Bell states. However, S. Molotkov proposed in 1998 a scheme to teleport single-photon wave-packets, and therefore spatial images, that overcomes most of the limitations of the standard procedures [S. N. Molotkov, JEPT Let- ters 68, 263 (1998); Physics Letters A 245, 339 (1998)]. Recently this scheme has been demonstrated experimentally [B. Sephton et al., High- dimensional spatial teleportation enabled by nonlinear optics, arXiv:2111.13624v1 [quant- ph] (2021)]. In this project we will analyse with detail the experimental implementation of the scheme to teleport images with current technology and its limitations.
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