If it matters that it's quantum, it's probably not right. I know of zero cases of fiction where the physics A) was presented as being quantum, B) it actually mattered that it was quantum for something other than being a black box technology (e.g. using a computer, which relies on quantum mechanics, doesn't count), and C) was right. I suppose someone could have decided there was branching and then we never see the other branches, but I can't think of any such cases.

Like, Schild's Ladder has tons of quantum mechanics that might as well have been classical, and is not objectionable. One detail requires that it actually be quantum, and it's screwed up.