  The theory of open quantum system is one of the most essential tools for the
development of quantum technologies. Furthermore, the Lindblad (or
Gorini-Kossakowski-Sudarshan-Lindblad) Master Equation plays a key role as it
is the most general generator of Markovian dynamics in quantum systems. In this
paper, we present this equation together with its derivation and methods of
resolution. The presentation tries to be as self-contained and straightforward
as possible to be useful to readers with no previous knowledge of this field.
