Recent progress in the development and applications of microstructured optical fibers for quantum technologies is summarized. The optical nonlinearity of solid-core and gas-filled hollow-core fibers provides a valuable medium for the generation of quantum resource states as well as for quantum frequency conversion between the operating wavelengths of existing quantum photonic material architectures. The low loss, low latency, and low dispersion of hollow-core fibers make these fibers particularly attractive for both short- and long-distance links in quantum networks. Hollow-core fibers also promise to replace free-space optical components in a wide range of atomic experiments.