usually not, unless they offered you some sort of serverence, which is doubtful since you quit.
We do that here, sometimes when someone gives notice, if we think they will actually be more of a pain the ass to keep around, we'll just say "hand over your badge and pager now" and escort them out. Sometimes people give notice and they spend the next two weeks talking bad about the management, company, etc.. or start gathering information, contacts, etc to take to their new job. In cases like that they get the boot, unpaid of course.