>>13593377In this particular case, a qubit can be thought of as a point on the surface of a sphere. In the OP image, the north pole is equivalent to a binary "0", the south pole is equivalent to a binary "1". You can use math to "move" the point along the surface of the sphere. because there is infinite points on the sphere, a single qubit can theoretically contain a huge amount of information; you can use a single qubit to perform things like supervised classification (qubit re-uploading) by just continuously doing math and moving the point around the surface of the sphere.
The important catch is, as always, wave-collapse: when you finally measure the sphere-qubit, the point, wherever it is, collapsed to 1 or 0. How close it is to 1 or 0 determines the probability of it collapsing to either of those points. Close to 0? higher probability of collapsing to 0. Same in reverse. That's the "gist" of a qubit.
>>13594419What do you mean by "why don't they use probability". To me it's a bit nonsensical, like asking "why don't we use probability instead of the velocity function when calculating the velocity of something". You'll need to clarify.