Perhaps it still works as long as he was saying not Sensor(0) but Sensor(Atom(0))
ie “Sensor says Atom is in state 0”
So it doesn’t matter how many states the sensor has, it’s how that state reflects on the state of the Atom that matters. Then the states could correspond one-to-one regardless of how many states the sensor has, and the probability would be concentrated in the diagonal.
Perhaps it still works as long as he was saying not Sensor(0) but Sensor(Atom(0)) ie “Sensor says Atom is in state 0”
So it doesn’t matter how many states the sensor has, it’s how that state reflects on the state of the Atom that matters. Then the states could correspond one-to-one regardless of how many states the sensor has, and the probability would be concentrated in the diagonal.