Ciara -- My Future's Been Wiped Clean

Ciara is finally so done with her on/off BF and baby daddy Future ... she's removing all signs of his existence ... including the tattoo on her hand.

Recent photos show Ciara's having the letter N (his first name is Nayvadius) lasered away. According to our sources ... Future isn't upset about it, and understands it's part of moving on.

Besides, we're told Future's already bolted out of Ciara's home in L.A. ... and has himself a huge new pad in Atlanta, with a new Bentley to go with it.

Worth noting -- Future has a similar 'C' tattoo, and so far anyway ... he's keeping it.

The couple split in August when she accused him of cheating. They tried again in September, but ... no dice.