  We present a conceptual design for a hybrid laser-to-beam-driven plasma
wakefield accelerator. In this setup, the output beams from a laser-driven
plasma wakefield accelerator (LWFA) stage are used as input beams of a new
beam-driven plasma accelerator (PWFA) stage. In the PWFA stage a new witness
beam of largely increased quality can be produced and accelerated to higher
energies. The feasibility and the potential of this concept is shown through
exemplary particle-in-cell simulations. In addition, preliminary simulation
results for a proof-of-concept experiment at HZDR (Germany) are shown.
