This probably varies from state to state so you may want to cross post in your geographic tribe and note the state in your thread title.
I would suggest giving it a title such as:
Right to collect unemployment after quitting/resigning in state of ?
However, generally if someone quits or resigns they are simply leaving, they weren't laid off or let go. On the other hand, there is such a thing as "constructive termination", for instance when the work environment...