So, combo listing. For copying a creature on your field, you might:
-Reverse time the AM version.
-AM the AM version again for double creature. (Compare with PU)
-Catapult/Immo/Mutation, as OT said.
--or Phoenix
-Plain old CC
-buff the AM version (SoW is in-element with this card, possible combo)
I suppose if you were copying a creature on your opponent's field, most of these options would be viable if you target the buffed version instead of the antimattered version.
If this is in a mono-aether, one might use it on Psion to maximize your options for dealing with the antimattered Psion. Simply Thunderbolting it is most obvious, but SoW is viable also.
This card, thinking about it, would fit very well in with existing decks focusing around Psions or Shards of Wisdom.