"it is possible to do a sort of incomplete measurement which partially collapses the wave function, and then you can do a sort of unmeasurement to put the wave function back to where it started. Curiouser and curiouser, in the words of the Reverend Charles Dodgson."-Yes, wasn't this nicknamed the Rebirth Effect?
One of the key weirdnesses of quantum mechanics is the collapse of the wave function at the event of measurement. I have always thought of this effect as being boolean in nature, but according to an article I found after reading the one Ripper89 drew our attention to in another post, it is possible to do a sort of incomplete measurement which partially collapses the wave function, and then you can do a sort of unmeasurement to put the wave function back to where it started. Curiouser and curiouser, in the words of the Reverend Charles Dodgson.
http://www.sciencedaily.com/releases/2008/08/080806140128.htm