Monotonicity of a relative Rényi entropy

Monotonicity of a relative Rényi entropy

We show that a recent definition of relative Rényi entropy is monotone under completely positive, trace preserving maps. This proves a recent conjecture of Müller-Lennert et al. [“On quantum Rényi entropies: A new definition, some properties,” J. Math. Phys. 54, 122203 (2013); e-print arXiv:1306.314...

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Veröffentlicht in:Journal of mathematical physics 2013-12, Vol.54 (12), p.1
Hauptverfasser: Frank, Rupert L., Lieb, Elliott H.
Format: Artikel
Sprache:eng
Schlagworte:
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
ENTROPY
EXCITATION FUNCTIONS
Physics
Quantum physics
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Zusammenfassung:We show that a recent definition of relative Rényi entropy is monotone under completely positive, trace preserving maps. This proves a recent conjecture of Müller-Lennert et al. [“On quantum Rényi entropies: A new definition, some properties,” J. Math. Phys. 54, 122203 (2013); e-print arXiv:1306.3142v1; see also e-print arXiv:1306.3142].
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4838835