Monotonicity of the von Neumann entropy expressed as a function of R\'enyi entropies
classification
🪐 quant-ph
keywords
entropiesenyiorderentropyexpressedneumanndecreasingdensity
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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 R\'enyi entropies, is monotonically increasing in R\'enyi entropies of even order and decreasing in those of odd order.
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