Vladimir's Skill Max Order: Q → E → W
Vladimir's Q+E Range: both 600 units, which is 75 more than your AA range
Matchup Tip: When Vlad's bar under his health turns Red, do not walk into range of him for 2.5 seconds. If you want to trade him, blind him before his bar becomes red because he will wait till it's charged up before using his Q on you.
Level 1: Quinn Cheese level 1 from the bush and then run Vlad down with autos. His Q is weak early game and he hard loses level 1. E him whenever your E is up.
Level 2: Vlad's E is weak early game, so continue to punish him with trades whenever your cooldowns are up. You can and should use E whenever it's off cooldown, but just be careful of jungle ganks if you do this. Be as aggro as you can early game.
Level 3-5: Your goal in lane is to bait his pool, and if he ever uses it, for the next 28 seconds do not let him breathe because he's defenceless without it. If you want to all in him, try to Q him early because a good vlad will use pool to avoid your Q. Save E for after his pool expires because if you E him before his pool, he isn't slowed from your E.
Level 6+: If Vlad Rs you, be careful of his pool because he will use W to juke your Q. I personally would E him when he Rs, and then use Q after his Pool expires to cancel his following Q that he will shoot after his pool expires. If you can't wait this long, use Q right when he Rs to hopefully blind him before he can get his Q off. Null Orb is broken in this matchup to survive his all-in.
Vlad matchup is quite easy, but the key is to play aggressive during lane phase.
Vlad will hard outsustain you, so if you take short trades every so often, vlad will overtime, win the trades because he will be able to sustain while you cannot.
However, Quinn with PTA will hard out damage vlad in these trades, so the key is to constantly apply pressure in lane.
First, know how vlad's passive works on his Q. When his crimson rush bar is red, this means that his next Q on you will deal extra damage and heal him for more, so DO NOT GO NEAR VLAD when his crimson bar is red. Wait for the bar to wear off, and never trade with him or go near him when it's up. The bar will fade momentarily, and he will be forced to use his empowered Q on a minion.
Next, make sure to initiate trades with vlad by landing your blind on him first. Once vlad is blinded, he cannot retaliate with his Q, Transfusion, on you because it is a lock on ability.
If you land your blind on vlad, then go for a quick trade, and ideally walk away when the nearsight wears off so that he can't use his Q on you.
Post level 3, Quinn's objective in lane is to bait out Vlad's W, Sanguine Pool, because it is a long cooldown, and vlad having that ability up means that you cannot all in him.
During lane phase, just keep trading him when your PTA proc is up and when you land blind on him (so that he can't Q you), and repeat these trades in lane to get him low.
The key point is to not let vlad breathe, and punish him all throughout laning phase.
Once vlad is low enough, he will try to pool your Q or pool when he thinks you are trying to all in him. This ability is a 28 second cooldown level 1, and when it's gone, you now have 28 seconds to hard punish vlad, and potentially all-in him becasue he is weak early game without that ability.
After level 6, be careful for his engage. Nul orb is really good to save you from his R.
When vlad Rs you, your goal is to run away.
Ideally, initiate Q on him because vlad will either press his pool to dodge your Q blind, making it unavailable for later on so you can vault him and run away, or, your blind will hit him, and he will be unable to press his Q on you while under his R, Hemoplague.