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

arXiv
Authors: Mark Fannes

Year

2013

Paper ID

31305

Status

Preprint

Abstract Read

~2 min

Abstract Words

40

Citations

N/A

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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  • 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...

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