Today, like never before, we are witnessing a pervasive diffusion of ultra-broadband fixed-mobile connectivity, the deployment of Cloud-native 5G network and service platforms, and the wide adoption of Artificial Intelligence. It has the so-called Digital Transformation of our Society: as a matter of fact, the transformative role of Telecommunications and Information Communication Technologies (ICT) has long been witnessed as a precursor of scientific progress and economic growth in the modern world. Nevertheless, this transformation is still laying its foundations on Electronics and the impending end of Moore’s Law: therefore, a rethinking of the long-term ways of doing computation and communications has been already started. Among these different ways, quantum technologies might trigger the next innovation breakthrough in the medium long-term. In this direction, the paper provides an overview of the state of the art, challenges, and opportunities posed by an expected second wave of quantum technologies and services.