At the moment there is no chance at all of creating a pure antimatter weapon. When CERN talk about being able to produce antimatter at a larger rate
they are still talking about miniscule amounts, around a billionth of a gram (although I could be wrong on the exact amount ).
Another problem is storage, they have to be held in position in a very high quality vacuum using magnetic fields to prevent them annihilating with
stray matter that could get in.
Finally there's the cost, currently estimated at about $25 billion per gram, which would yield about the same as 43 kilotons of TNT.
This link explains a lot of it:
Antimatter Weapons
One thing I do find interesting though is the idea to use an antimatter explosion to trigger a hydrogen bomb. As far as I understand it, at the
moment a fission bomb is used to heat and compress the fusion fuel to a critical mass when fusion occurs. If you replace the fission part with an
antimatter explosion, you remove fallout from the equation and you'd be able to build smaller bombs that could realistically be used in battle.



