In updated \"App Store Review Guidelines\", we can see: we are relaxing all restrictions on the development tools used to create iOS apps, as long as the resulting apps do not
I think it will be under "beta" for a long (long) time.
I think too that it would be faster to learn Apple API etc than trying to do some old QT code working on iPhone/iPad.
But good luck ^^
There is also guy who started the porting of Qt on iPhone a while ago: Qt on iPhone
Last time I checked he managed to compile QtCore.
There's a new port of Qt/Lighthouse to iOS. Already runs Qt Quick...
http://www.youtube.com/watch?v=MjYJdi48B8Q