Answers are grounded in this paper and cite their sources.
We prove that the average smooth Renyi entropy rate will approach the entropy rate of a stationary, ergodic information source, which is equal to the Shannon entropy rate for a classical information source and the von Neumann entropy rate for a quantum information source.
No takes yet. Share an insight, caveat, or question.
Schoenmakers et al. (2007) studied this question.