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AbstractWe construct an efficient numerical scheme for the quantum Fokker-Planck- Landau (FPL) equation that works uniformly from kinetic to fluid regimes. Such a scheme inevitably needs an implicit discretization of the nonlinear collision operator, which is difficult to invert. Inspired by work  we seek a linear operator to penalize the quantum FPL collision term QqFPLin order to remove the stiffness induced by the small Knudsen number. However, there is no suitable simple quantum operatordoi:10.4208/cicp.220411.090112a fatcat:e2ifxia3efffdjzjxypkjw3xj4