We review the statusof the Quantum ESPRESSO softwaresuite for electronic-structure calculations based on plane waves,pseudopotentials, and density-functional theory. We highlight therecent developments in the porting to GPUs of the main codes, usingan approach based on OpenACC and CUDA Fortran offloading.We describe, in particular, the results achieved on linear-responsecodes, which are one of the distinctive features of the QuantumESPRESSO suite. We also present extensive performance benchmarkson different GPU-accelerated architectures for the main codes of thesuite.