actually.. there is a move in 2, but it requires the opponent to move 2 particular pawns, then white moves the queen diagonally to checkmate on the kings side
I think a few people have posted similar games with links under RHP Quickest wins
Black is the only color that can checkmate in 2. White can only do it in 3 cause white moves first. Here's the notation for the 2 move. 1. g4 e5 2. f4 Qh4++. That should be right.