Noise as a source of information?
The provided quote is not related to noise but to information entropy.
Consider a repeated signal that always reads &quot;Hello world!&quot;, and never changes. The receiver of the signal knows it will always read this way. Therefore even without looking at it he will know what it is. So there is no information conveyed by this signal to the receiver.
On the other hand, consider the signal is encoding a fair coin toss outcomes. This one will be maximally uncertain to the receiver (indistinguishable from binary white noise), but it will convey the full information about the remote system (that is the full history of the experiment outcomes).