ΔE 15.6, loose: different enough that you should pick on purpose. Blue Violet is a little lighter, more saturated, warmer than Cerulean Blue Deep.
Not as a straight swap; see the closer alternatives below. Loose match (ΔE 16). Blue Violet is a little lighter, more saturated, warmer than Cerulean Blue Deep.
The same difference applies the other way round: Cerulean Blue Deep is a little darker, more muted, cooler.
ΔE is the colour difference between our two swatch estimates: under about 6 is close, over about 15 is loose. Real paints also differ in finish, coverage and how they thin, so test before you commit.
See Cerulean Blue Deep on the colour wheel See Blue Violet on the colour wheel
All matches: Cerulean Blue Deep equivalents · Blue Violet equivalents