Quinn does not have the tools to play Mid
With the rework of Quinn in mind i have calculated out the burst damage of Quinn, Leblanc and Zed. As you can see below Quinn's "burst" is no where sufficient now to play mid. The only solution i see For Quinn is if Riot would put the blind back on Q and boost Quinn's numbers, otherwise a Quinn player can expect no respect from the current Assassins that reside mid and will get all-in'ed at every opportunity.
With 200 ad here is the best case of a damage rotation Quin has at level 11 R 200 Q 120+180 AA 200+100 E 100+40 AA 200+100
Total 1240
With his E passive 200ad on Zed is 220ad at level 11 E - R 220 Q 235+220 (Q from both shadows) 228+228 AA 220 E 176+60 R to switch positions R proc 555
Total 2142
LeBlanc with 200 ap at level 11 E 90+100 Q 155+80 R 200+120 Q proc 155+80 W 165+120 R proc 200+120 E proc 90+100
Total 1775