Monotonicity of the von Neumann entropy expressed as a function of Rényi entropies
arXiv:1310.5941
Abstract
The von Neumann entropy of a density matrix of dimension d, expressed in terms of the first d-1 integer order Rényi entropies, is monotonically increasing in Rényi entropies of even order and decreasing in those of odd order.
5 pages