Bit's toy is really a panel of light switches. Each switch is a dimension — on or off. With just 8 switches he can make 2⁸ = 256 different patterns. Drill to more switches and the patterns explode.
A "quantum dot" is one blurry half-flipped pattern — a bit of this toy, a bit of that. When Bit reads it, it snaps to the single nearest clean pattern (one toy). The other 255 just... vanish. Lost.
Switches and snapping. That's all it is — dumb light switches making a giant menu, and a read that picks exactly one.