Today, like never before, we are witnessing a pervasive diffusion of ultra-broadband fixed-mobile connectivity, the deployment of 5G infrastructures and its integration with Cloud-Edge Computing. Moreover, Artificial Intelligence (AI) is at the center of this Digital Transformation. Sustainability of future scenarios will have to face several techno-economic challenges: the transmission and processing of enormous quantity of data with ultra-low latencies, automation of management processes, strict requirements of resilience, security and privacy, optimization of resources and energy, new markets dynamics. This is requiring a rethinking of the ways of doing computation and communications. As a matter of fact, a second revolution is underway with a growing interest - and several investments from Industries worldwide – and expected potential exploitations for meeting said evolutionary requirements and the sustainability. This paper provides a description of an innovative approach based on evanescent, electromagnetic waves and tunneling photons, for developing quantum computing systems, so called Quantum Hypercomputing. Some examples of potential applications are also provided.