But this choice is random not because the measurement is shabby but because of the inherent uncertainty in the state of the nucleus.

ECONOMIST: The cost of forgetting

As a consequence of this additional uncertainty, if the quantum demon makes a measurement of a nucleus which forces it to choose one state or the other, he is creating new information.

ECONOMIST: The cost of forgetting

That is the limit imposed by Heisenberg's famous uncertainty principle (which states that the precision of a time measurement is limited by the precision of a corresponding energy measurement).

ECONOMIST: Small-scale physics