Monotonicity of the von Neumann entropy expressed as a function of Rényi entropies

2013/10/22 by M. Fannes, Mark Fannes, Fannes, Mark
Computer Science · Economics, Econometrics and Finance · Physics and Astronomy · #Chaos control and synchronization #Complex Systems and Time Series Analysis #FOS: Physical sciences #Neural Networks Stability and Synchronization #Quantum Physics (quant-ph) #Statistical Mechanics and Entropy #quant-ph

paper · pdf · doi:10.48550/arxiv.1310.5941

5 pages

arxiv created 2013/10/22 · openalex publication_date 2013/10/22 · arxiv updated 2013/10/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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