Quantum optimal control – quantum stochastic master equation as model background introduction and pedagogical benchmarks

The second (quantum computing algorithms and HW-computers) and third quantum (quantum programming and SW-engineering and quantum “powerful” computing AI) revolutions have led to the necessity in developing of intelligent SW/HW platform (strong quantum computational AI) of industrial quantum technologies for mega - science projects “Industry 5.0 / 6.0”. This fact, in turn, has raised the big challenge of training a new generation of quantum engineering staff in the fields of quantum end-to-end IT, quantum software engineering and quantum intelligent control. The creation of an appropriate software-algorithmic platform and hardware support in view of a quantum computer for industrial development required a radical revision of the foundations of educational processes for quantum engineering, the creation of a new technological structure and mathematical / physical / technical background in dynamically developing areas of application of quantum end-to-end IT. The lack of teaching staff and objective assessments of the necessity of industry and science for quantum engineering personnel only increased the difficulties in the development of quantum engineering. There is a certain mathematical maturity required to understand the quantum mechanics of finite dimensional systems. We review only the basics here and this is mostly to familiarize the reader with the notation used for the remainder of this Introduction.