The Amplitude Dial

Mission 1: Enter the Quantum World. Part of the Quantum Courier Service, a free course from the Oxford University Quantum Information Society.

One more drill before you graduate to bases, recruit. Back at the Procrastinator lock, you mapped a hidden probability by brute force: pile on the shots and let the statistics fall out. Fair enough, but that was one fixed state handed to you. This time you get to choose which state you interrogate.

Pick a prepared state from the chips, or hit random for a mystery one, then start collapsing it, once or five thousand at a time. Try switching the measurement axis from Z to X while you’re at it, and watch the odds shift. Every shot lands on a definite |0⟩ or |1⟩, but watch the observed frequency chase down the white line: the exact probability your amplitude predicted, via Born's rule, |amplitude|².

That white line isn't a guess. It's the actual answer. The tally you build from your own shots is that hidden probability. Your job is just to watch the universe agree with it.