I'm new to this subject, and I'm looking for papers on measuring the 'quality' of institutions and their possible role in the development of a country.
ANy help would be appreciated.
"Institutions" can be defined in many ways... I will guess some things that might interest you:
Transparency international measures every year corruption perceptions in many countries.
The World Bank also measures many aspects of instutional framework of countries, for example 'ease of doing business'.
OECD does a lot of analysis, you might find something interesting.
Definitely check out Daron Acemoglu's work and maybe you can get some ideas from Niall Ferguson.
These papers discuss institutions as institutions were covered in the economic literature. Better to read them in a chronological order.
Many sources, actually. The best one is the Quality of Government dataset, which includes different measures of institutions in a single big panel: