In recent years, research in quantum technologies has intensified considerably. The resulting applications increasingly seem to have impact on future everyday life. Especially quantum computing has come strongly into the public focus. In order to give interested people a realistic picture of its possibilities and functioning, people need an insight into the basics of quantum physics. In addition, a high demand for specialists is emerging, the coverage of which requires the recruitment of talents. Therefore, great efforts are made to introduce young people to quantum technologies. These efforts are related to an emerging paradigm shift in the teaching of quantum physics at school and at university where approaches to quantum physics via two-state systems seem to be particularly well suited. We proceed along two strands: We first discuss the essentials for teaching the basic concepts of quantum physics with a focus on the principle of compatibility/uncertainty and of applications in quantum technologies. Then we bring both strands together and explore the suitability for teaching at school. For this purpose we identify criteria relevant for education and evaluate the appropriatemenss of different quantum technologies with help of a scoring model. In addition we shortly describe the realisation of an examplary course on quantum cryptography.