The hosts went ahead after just seven minutes through Paulo Dybala with the Argentine then adding a second before Giorgio Chiellini finished Barca off in the second half.
The game was frustratingly similar to the 4-0 defeat at PSG in the last round and Enrique says he is at a loss to explain his side’s performance.
“We basically gifted two goals to Juventus in the opening half. As coach, for me it's inexplicable how they were so much better than us," he said after the game
"It's like a nightmare. We've had very little luck of late, and now I can only hope that from tomorrow we get back on our feet.
"In the first half the players were determined, but we made the same mistakes from Paris, and that's a problem.
"Our second half was much better. But I still have the opening half in my head, like a nightmare. Maybe it wasn't [a repeat of] Paris, but it was like the third half from Paris.
"I'm an optimistic person. But I take responsibility for this. I'm the coach and the buck stops at me. Until tomorrow, I don't even want to think about how we can come back."