Okay... lets see. Turn one: What Euophoria said but you keep one ball lightning. 55 damage.
Next 5 turns: you get 8 more
quanta, and another fractal. you play your ball lightning, fractal, and keep one for the next turn until turn 6 when you play them all. Total damage: 40 per turn for 4 turns then 45. Total damage after 6 turns: 260.
This can probably be optimized by adding a weapon on turn 1... But I have no idea what 
Right now I've got an even crazier idea, much less probable to happen, but could be quite damaging.

or

mark
Starting hand:
-Gavel
-Animate Weapon
-Chaos Seed
-2 Pandemonium (unupgraded)
-3 Quantum Towers
Play the towers, you get 5

and 4 other quanta, play Gavel, fly it, cast Chaos Seed and it ends PU-ing it. Play Pandemonium, it PU's both Gavels. Repeat, to copy 4 Gavels. You end with 8 flying Gavels, each dealing 7 damage. A total of 56 damage.
Next turn you draw another Pandemonium, it copies all your Gavels, a total of 16 flying Gavels dealing 112 damage.
A legitimate 168 damage altogether second turn, without the 100x quanta in trainer

I was thinking about Flying Fahrenheits and Quantum Towers generating huge amounts of fire, but I guess that would be slower.
You could also try the Ball Lightning approach with Pandemoniums.