Titre: Quantum state synthesis complexity classes
Abstract: Quantum state synthesis problems can be
seen as the quantum analog of functional problems
of generating a solution to a problem, and not only
to decide its acceptance. Studying these problems
as complexity classes is very recent (2022), and
the results tend to prove that quantum state synthesis
complexity classes have similar relationships between
themselves as their equivalent quantum decision classes.
The quantum aspect requires new parameters and adds
constraints that make these questions non-trivial,
contrary to the classical settings case.
