Progress in Low Temperature Physics: Quantum Turbulence presents seven review articles on the recent developments on quantum turbulence. Turbulence has been a great mystery in natural science and technology for more than 500 years since the time of Leonardo da Vinci. Recently turbulence in quantum systems at low temperatures has developed into a new research field. Quantum turbulence is comprised of quantized vortices, realized in superfluid helium and quantum gases of cold atoms. Some of the important topics include energy spectra, vibrating structures, and visualization techniques. The understanding of these remarkable systems can have an impact on the general field of turbulence and will be of broad interest to scientists and students in low temperature physics, hydrodynamics and engineering.Key subjects covered: Energy spectra in quantum turbulence, Turbulent dynamics in rotating helium superfluids: a comparison of 3He-B and 4He-II, Quantum turbulence in superfluid 3He at very low temperatures, The use of vibrating structures in the study of quantum turbulence, Visualization of quantum turbulence, Capillary turbulence on the surface of quantum fluids, Quantized vortices in atomic Bose-Einstein condensatesCrucial information for all experimenters in low temperature physics