Ryz's Skill Max Order: Q → E → W
Level 1: Quinn Cheese from the bush and then run him down, he will lose the trade and will be forced under tower. After he is under tower, stand between the minion wave and him to zone him off of EXP. He can't walk up or you can auto him to death.
Level 2: Slow push the first two waves and then crash the cannon wave. Call for a dive when the wave crashes, go for a solo kill, punish him for every minion he goes for under tower, or cheater recall. Ryze can't do anything early game. Ryze W range is 25 units longer than your AA range, so keep that in mind while laning against him.
Level 3: If a minion is low, make sure to not be near it because Ryze E will spread onto you, which does quite a bit of damage if he consistently lands this on you. His E spread travels 350 units around the minion, so it is short range. Stand behind minions in this matchup so his Q can't hit you, but also be careful to not be near low health minions either. If Ryze uses his Q/E on the wave, instantly run him down for a huge trade. Punish him whenever he uses abiltiies on the wave.
Level 6: Your E can cancel Ryze R, so if he uses it, instantly R him and it will be cancelled.
Make sure to ideally land blind on Ryze first, and if you do so, you can easily win the trade because Ryze will only be able to use his Q on you, which is hard to land when he can't see you.
Next, be cautious of Ryze's flux. Don't stand near low health minions because Ryze E can spread the flux to you, and if you have flux on you, his abilites will be empowered.
Ryze W doesn't instantly root you anymore, but now, his W only roots if you have flux on you.
If Ryze uses Q or E on minions, you can safely go in for a trade and you will hard win it because PTA along with him not having one of his core abilities means that he won't be able to retaliate in time.
Ryze Q only spreads around to other enemies with flux, so it's just important not to be marked by it.
Quinn's E can cancel Ryze R, so if he channels his R, just vault him immediately.
The matchup is easy if you play aggressive in lane because Ryze is weak early on, and with PTA, Quinn has limited sustain, but incredible damage.
Constantly harrass him when you can, but ideally only when you land your blind on him first.
Make sure to get your side stepping fingers ready to juke his Qs when you consume harrier marks :) I like to walk up close to ryze and move in unpredicable patterns to bait his Q because if he Wiffs his Q and it misses you, you can now go in for a trade with PTA because you will win it.
Proc PTA and weave autos with Q and E, and then walk away to chunk Ryze without much retaliation.
Late game Ryze is scary, but honestly Quinn can win the 1v1 if you land blind on him! You are able to DPS like crazy, but just make sure to side step his Qs because late game they do incredible damage.
Build a maw if you are having trouble with him later on in the game, and mercs to help lower the duration of Ryze W root/slow.