A player at my table believes that the quick channel feat lets you use turn undead as a move action, is this the case?
Turn Undead: "You can, as a standard action, use one of your uses of channel positive energy to ..."
So Turn Undead is it's own standard action, it consumes a use of channel positive energy, but it is not in and of itself a channel energy action.
Quick Channel doesn't help.
(that being said, I don't think it would be game breaking to allow this, and in any event if the player took this believing they would work together I'd allow a free retrain.)