Rainbow Six: Quarantine is Rainbow Six: Extraction; Gameplay Show Coming Soon
Ubisoft has confirmed the title of the next installment of Rainbow Six. Extraction will be seen with the first official gameplay demonstration during the Ubisoft Forward.

Not Quarantine nor Parasite will be the title of the new installment of Tom Clancy's Rainbow Six: Extraction. The company also published a short teaser, which you can watch below.
The fact that the project will receive a new name before the release, Rainbow Six: Siege, but focusing on the fight against AI opponents in PvE gameplay. It won't be the Horde/Survival mode known from many games - the players will have to complete certain tasks and 'make sure no one gets left behind'. This last comment from Patrik Methé (the game's creative director) confirms information from February that the title would feature a mechanic for rescuing companions lost in previous missions.
If the title change and residual information aren't enough for you, the developers will show the first (will take place on June 12 at noon PT