"Q" is a clearance, the highest in our Nation. Only certain individuals get it (e.g. Admiral Mike Rogers of the NSA)

The mainstream "Q" is a team of "Q" clearance individuals, less than ten in number.

Project Looking glass is a Quantum Computer to accurately predict future happenings based on a f**k-ton of data inputs that only a quantum computer could handle.

All of these have been verified in past discussions over the last 4 years with links, photos, and decodes both here, Voat, Q-drops, and 8chan.

Dont ask me to link all that, I have to work for a living and this would take time I dont have. Also, Voat and 8Chan are gone now so...just research like everyone else did I guess. Probably not the best answer you wanted, but its the best I can give right now. Self-discovery can be more enlightening than someone just telling you outright sometimes.