  The experience of the COVID-19 pandemic, which has accelerated many chaotic
processes in modern society, has highlighted in a very serious and urgent way
the need to understand complex processes in order to achieve the common
well-being. Modern High performance computing technologies, Quantum Computing,
Computational Intelligence are shown to be extremely efficient and useful in
safeguarding the fate of mankind. These technologies are the state of the art
of IT evolution and are fundamental to be competitive and efficient today. If a
company is familiar with these techniques and technologies, will be able to
deal with any unexpected and complicated scenario more efficiently and
effectively. The main contribution of our work is a set of best practices and
case studies that can help the researcher address computationally complex
problems. We offer a range of software technologies, from high performance
computing to machine learning and quantum computing, which represent today the
state of the art to deal with extremely complex computational issues, driven by
chaotic events and not easily predictable. In this chapter we analyse the
different technologies and applications that will lead mankind to overcome this
difficult moment, as well as to understand more and more deeply the profound
aspects of very complex phenomena. In this environment of rising complexity,
both in terms of technology, algorithms, and changing lifestyles, it is
critical to emphasize the importance of achieving maximum efficiency and
outcomes while protecting the integrity of everyone's personal data and
respecting the human being as a whole.
