In the last few years a variety of players have entered the quantum race, ranging from tech giants - such as IBM and Google – to several small start-up companies, as well as states and governments, with massive public funds to be distributed over the next years. Standardization efforts are already ongoing, such as the one within the Internet Engineering Task Force (IETF). The IEEE has become involved in this effort. Within the context of a real quantum revolution, the vision is to build a quantum network infrastructure, also known as the Quantum Internet, to interconnect remote quantum devices so that quantum communications among them are enabled. We will give an overview about the main challenges and open problems arising in the design of a distributed quantum computing architecture. Quantum computing is on the verge of sparking a paradigm shift. Software reliant on this nascent technology, one rooted in the physical laws of nature, could soon revolutionize computing forever. We will focus on the current quantum computer technology from the hardware and software point of view, providing a detailed roadmap for next years. In this context, specific integration of classical and quantum computing that represents a huge step in accelerating the execution of quantum circuits, or sequences of quantum operations, on real Quantum systems will be described.