Noise. Your ability to distinguish between states.
> If you have a carbon atom, does it have unlimited information because it theoretically could instead have been some other number of atom
You don't even need that. A single hydrogen atom has an infinite number of bounded energy states. In principle, you could store infinite information by putting an electron in the nth energy state and keeping it there.
Noise. Your ability to distinguish between states.
> If you have a carbon atom, does it have unlimited information because it theoretically could instead have been some other number of atom
You don't even need that. A single hydrogen atom has an infinite number of bounded energy states. In principle, you could store infinite information by putting an electron in the nth energy state and keeping it there.
In practice, you can't, due to noise.