A continuous jump means that the system travels coherently through the superposition of |0>+|1> through the jump, and other such a|0>+b|1> states for a^2+b^2=1.

A continuous jump means that the system travels coherently through the superposition of |0>+|1> through the jump, and other such a|0>+b|1> states for a^2+b^2=1. It isn't in 0, and then suddenly 1.