They meant this, which refers to copying the state of a particle into another (already existing) particle
https://en.wikipedia.org/wiki/No-cloning_theorem
And basically, about consciousness, what they said is true if our brain state fundamentally depends on quantum effects (which I personally don't believe, as I don't think evolution is sophisticated enough to make a quantum computer)
>as I don't think evolution is sophisticated enough to make a quantum computer
Well, evolution managed to make something that directly contradicts the 2nd law of thermodynamics, and creates more and more complicated structures (including living creatures as well as their creations), instead of happily dissolving in the Universe.
And this fact alone hasn't been explained yet.