Chelsea went out of the Champions League at the last-16 stage with an error-ridden display against Barcelona.
Following a 1-1 draw in the first leg, the visitors fell behind after just 128 seconds in the Nou Camp as Lionel Messi shot through the legs of Thibaut Courtois from a tight angle.
Messi then set up Ousmane Dembele to hammer home the second after Cesc Fabregas lost possession.
Marcos Alonso hit the post for Chelsea with a free-kick before Messi's 100th Champions League goal - after a mistake by Cesar Azpilicueta - took the hosts out of sight.
Alonso was then denied a penalty after a challenge by Gerard Pique as Barcelona joined La Liga rivals Real Madrid and Sevilla in Friday's quarter-final draw.
Chelsea, meanwhile, join fellow Premier League clubs Manchester United and Tottenham in exiting in the first knockout round.
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