Bell, BrynWang, KaiSolntsev, AlexanderNeshev, DragomirSukhorukov, AndreyEggleton, Benjamin J2020-04-21September9781943580330http://hdl.handle.net/1885/203311We suggest and realize experimentally quantum walks on a spectral photonic lattice with optically tunable long-range and complex hopping coefficients facilitated by nonlinear parametric interactions, enabling asymmetric frequency shaping and Talbot effect with arbitrary periodicity.The authors acknowledge financial support from the Australian Research Council.2 pagesapplication/pdfen-AU© OSA 2017. https://www.osapublishing.org/submit/review/copyright_permissions.cfm One print or electronic copy may be made for personal use only. Systematic reproduction and distribution, duplication of any material in this paper for a fee or for commercial purposes, or modifications of the content of this paper are prohibited. OSA's policies afford authors, their employers, and third parties the right to reuse the author's Accepted Manuscript (AM). Posting by authors on an open institutional repository or funder repository after 12 months embargo (Publisher journal website as of 22/4/2020).Nonlinear optics, parametric processes, Nonlinear wave mixing, Talbot and self-imaging effects201710.1364/FIO.2017.FW2B.12019-11-25