Ziggs has huge range and Zed relies on his short-medium range

+

to farm because Ziggs can

him when he goes in for a melee attack on a minion. My method was staying away from minions, that made Zed choose to either poke Ziggs or get farm with his

. Post 6 Ziggs is in trouble as Zed can use

+

+

to get right onto Ziggs and do enough damage to take him out with his burst. Get an early

so you can be invulnerable through the ult proc and post 6 stay very far away from Zed and play passive so that if he chooses to go in on you at least you can try to force him to use

. Another problem is Zed's Energy, he can stay in lane longer than Ziggs because Ziggs can eventually run out of mana. Get

and

as fast as possible and you should be fine.