Currently, quantum technologies are the driving force behind technological progress (Industry 4.0/5.0/6.0 or Society 6.0). The development of quantum information technologies gives rise to new quantum threats to information security. The requirements of the federal project “Personnel for the Digital Economy or the Data Economy” for the key information technology – “Quantum Technologies” (Priority 1) – can be fulfilled only by developing an appropriate training system for engineering and scientific personnel in the fields of quantum information technologies, quantum robust artificial intelligence and quantum resilience. The creation of a vertically integrated education system, which includes not only basic higher education, but also the training of scientific personnel and upskilling for already employed professionals, will contribute to the development of innovative technologies in general. The paper presents the results of joint efforts of the Sirius University of Science and Technology together with the Quantum Consortium of Business and Universities to train personnel in the sphere of quantum information technologies for the development of such an education system.