It's not :) It is an app version of the same game. You're the first person who has made that connection in months of beta testing and showing people the app. I'm sure other people will recognize it as well, but I don't think it's as recognizable as was, say, Words With Friends was an app version of Scrabble.
Quarto is a great game, and I think it's well suited for an app like this where you can take your time thinking about your turn. However, it would be nice to give the game designer some credit.